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REVIEW 3 major objections 5 minor 110 references

Time-resolved correlation engineering in DLCZ Raman photon sources

T0 review · 3 major / 5 minor · reviewed 2026-08-15 · deepseek-v4-flash

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Pith's one-line read The paper proposes a propagation-inclusive open-system quantum theory for DLCZ-type spontaneous Raman scattering and validates it experimentally.

desk verdict A credible, semiquantitative extension of the group's SFWM theory to DLCZ; deserves peer review, with the unquantified incoherent-fluorescence background as the main referee request. read the letter →

arxiv 2608.13091 v1 pith:7RN4WUT3 submitted 2026-08-13 quant-ph physics.optics

Jiun-Shiuan Shiu , Chang-Wei Lin , Chi-Ming Yang , Ite A. Yu , Yong-Fan Chen This is my paper · ORCID
classification quant-phphysics.optics PACS 42.50.Ct42.50.Gy
keywords DLCZprotocolspontaneousRamanscatteringatomicensemblequantummemoryHeisenberg-LangevinequationsMaxwell-Schrödingerpropagationphoton-paircorrelationtemporalslicinganti-Stokesretrieval
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The reading

The paper presents a predictive theory of DLCZ-type spontaneous Raman scattering in atomic ensembles that includes both the time-dependent redistribution of atomic populations during the write pulse and the spatiotemporal propagation of the generated fields, then validates the theory experimentally. It claims this framework quantitatively predicts Stokes generation, spin-wave storage and retrieval, anti-Stokes wavepackets, and time-resolved Stokes-anti-Stokes correlations. Experiments with a cold rubidium-87 ensemble confirm three key predictions: the normalized cross-correlation stays nearly unchanged when the retrieval coupling strength or detuning is tuned, shorter write pulses enhance the correlation, and the retrieved anti-Stokes wavepacket can be temporally sliced by classical read-pulse timing without needing Stokes-triggered feed-forward. If correct, this gives memory-compatible photon sources a quantitative design tool for spectral, temporal, and correlation engineering.

What carries the argument

The load-bearing machinery is the coupled Heisenberg-Langevin and Maxwell-Schrödinger equation set for the atomic coherences, populations, and Stokes/anti-Stokes fields, with time-dependent coefficients $\alpha(T)$ and $\beta(T)$ that encode the write-induced population redistribution and optical coherence. These time-dependent coefficients make the evolution matrix non-commuting at different times, so the authors solve the dynamics with a piecewise-constant time-ordered propagator combined with a spatial Laplace transform, and they introduce a phenomenological replacement $\mathrm{OD}_{\mathrm{eff}}(T)=\mathrm{OD}\,\langle\hat{\sigma}_{11}(T)\rangle$ to capture the leading depletion effect. This machinery yields explicit predictions for Stokes photon rates, the spin-wave initial condition for retrieval, retrieved anti-Stokes wavepackets, and the two-photon cross-correlation function used throughout the experimental comparisons.

What would settle it

Measure the time-resolved conditional anti-Stokes autocorrelation with a Hanbury Brown-Twiss setup: the Gaussian model predicts $g^{(2)}_{as-as|s} = (4g^{(2)}_{s-as}-2)/(g^{(2)}_{s-as})^2$, so a clean systematic deviation from that relation would show the Wick factorization misses relevant correlations. Alternatively, scan the read-pulse detuning beyond $|\Delta_c|\approx 3\Gamma$ in a high-optical-depth ensemble, where DLCZ predicts a near-flat $g^{(2)}_{s-as}$ while SFWM predicts a strong drop.

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Extended reading notes

Core claim

The central claim is that a propagation-inclusive open-system quantum theory, built from coupled Heisenberg-Langevin equations and Maxwell-Schrödinger propagation while retaining the full time dependence of write-driven atomic populations, can predict the Stokes generation rate, spin-wave evolution, retrieved anti-Stokes wavepacket, and the complete time-resolved normalized cross-correlation $g^{(2)}_{s-as}(T,\bar{T})$ in DLCZ-type SRS. The theory reproduces transient Raman buildup followed by population-transfer-induced suppression, and in the undepleted large-detuning limit it reduces to analytic Green's functions with a phenomenological effective optical depth correction. The key physical distinction from continuous spontaneous four-wave mixing is that retrieval parameters reshape the conditional readout signal and the accidental background approximately in parallel, leaving the normalized correlation nearly unchanged, while shorter write pulses increase the correlation because correlated coincidences scale roughly linearly with the mean spin-wave excitation number but accidental backgrounds scale roughly quadratically. The experiments confirm these trends and demonstrate temporal slicing of the retrieved wavepacket through the classically controlled read pulse.

Load-bearing premise

The retrieval calculation assumes atoms stay almost entirely in the lowest ground state during readout and ignores fluorescence from atoms that were incoherently transferred to the other ground state during the write pulse; if that incoherent population is not negligible, the predicted anti-Stokes signal and accidental background would shift.

Editorial extensions

If this is right

  • DLCZ-type SRS can be bandwidth- and frequency-engineered at the retrieval stage without substantially lowering the Stokes-anti-Stokes correlation, which is useful for matching to quantum memories and frequency conversion modules.
  • Shorter write pulses, down to 10-20 ns, are predicted to produce much stronger two-photon correlations and improved single-photon character of the heralded anti-Stokes field, with a predicted integrated correlation near 88 at 10 ns in the modeled regime.
  • The classically controlled read pulse enables temporal gating and slicing of the retrieved anti-Stokes wavepacket without real-time feed-forward from Stokes detection, directly supporting time-bin and high-dimensional temporal encoding.
  • The theory distinguishes DLCZ-type SRS from continuous SFWM: the separated write and read stages allow spin-wave accumulation and transient Raman enhancement, whereas in SFWM the spin-wave coherence is continuously converted and does not build up the same way.
  • A quantitative framework now connects write-pulse duration, driving detuning, retrieval coupling strength and detuning, optical depth, and storage time to the resulting photon-pair correlations, allowing systematic optimization of memory-compatible sources.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • The same framework could likely be extended to cavity-enhanced DLCZ sources by adding a cavity input-output relation, which would let the theory predict how cavity parameters modify the retrieved wavepacket and correlation robustness, though the paper does not treat cavities.
  • The model's Gaussian Wick-factorization prediction for the conditional anti-Stokes autocorrelation, $g^{(2)}_{as-as|s} = (4g^{(2)}_{s-as}-2)/(g^{(2)}_{s-as})^2$, is a sharp, quantitatively testable signature that could be checked with a Hanbury Brown-Twiss setup on the heralded field.
  • The near-flat correlation under retrieval tuning suggests a potentially useful design rule: one can narrow the retrieved anti-Stokes bandwidth for better spectral matching to a downstream quantum memory without sacrificing the pair correlation, a consequence the paper mentions but does not develop into an explicit optimization procedure.
  • The time-dependent effective optical depth correction may serve as a fast analytic surrogate for full numerical calculations in the large-detuning regime, useful for parameter searches, although the paper explicitly notes it captures only the leading depletion effect.
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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Referee Report

3 major / 5 minor

Summary. The manuscript develops a propagation-inclusive open-system quantum theory for DLCZ-type spontaneous Raman scattering in atomic ensembles. The theory combines Heisenberg-Langevin equations with Maxwell-Schrödinger propagation, retains write-induced population redistribution, and is used to predict Stokes generation, spin-wave storage, anti-Stokes retrieval, and time-resolved Stokes–anti-Stokes cross-correlations. The authors benchmark the analytic large-detuning limit against the independent undepleted-medium model of Ref. [76], and they report experiments on a cold 87Rb ensemble that show: (i) a nearly unchanged integrated cross-correlation when the retrieval coupling strength and detuning are tuned, (ii) enhanced correlations for shorter write pulses, and (iii) temporal slicing of the retrieved anti-Stokes wavepacket by classical read-pulse timing without Stokes-triggered feed-forward. The central claim is that the theory predicts and the experiments validate these correlation-engineering features.

Significance. If the framework withstands scrutiny, it would be a valuable unified description of DLCZ-type SRS that goes beyond undepleted-medium and adiabatic approximations, with a transparent large-detuning limit that reduces to the known result of Eq. (16). The paper also gives explicit falsifiable predictions—the approximate flatness of g^(2) under retrieval tuning and the pulse-duration dependence—and demonstrates a practical temporal-gating capability. Credit is due for the in situ SFWM-based OD calibration, the numerical convergence checks reported in Methods, and the honest statement of the retrieval model's limitations around Eqs. (19)–(21). However, the experimental validation is largely qualitative in the key comparison figures, and the omission of incoherent |2> fluorescence in the retrieval model is a load-bearing approximation for the correlation calculations. The work is a solid candidate for publication after major revision, provided the identified technical points are addressed with quantitative bounds or experimental controls.

major comments (3)
  1. [Storage and readout dynamics, Eqs. (19)–(21) and Eq. (22)] The retrieval model explicitly assumes the atomic population remains predominantly in |1> and states that it does not include fluorescence from incoherent population transferred to |2>. This omission is load-bearing. The write-stage theory itself generates incoherent |2> population via the Γ32 σ33 term in Eq. (3); for the experimental parameters (Ωd=2Γ, Δd=15Γ, Td=100 ns), ρ33 ≈ (Ωd/2Δd)^2 ≈ 0.004 gives a time-integrated incoherent transfer to |2> of order 0.008, comparable to the mean spin-wave excitation μ ≈ 0.01 implied by the measured g^(2) ≈ 15–80. The read pulse drives the |2>→|4> transition, so this population can contribute anti-Stokes-frequency fluorescence into the collected mode. Such a background enters the denominator ⟨a†_as a_as⟩ in Eq. (22) without a corresponding correlated-coincidence term, breaking the parallel rescaling that underlies the predicted flat g^(2) under retrieval tuning in Figs. 5 and 6. The authors should provide a quantitative bound on the incoherent-fluorescence contribution—either by extending the retrieval model to include the |2> population dynamics, or by an experimental control that measures the anti-Stokes background with the read pulse applied but no write pulse.
  2. [Experimental observations, Figs. 6(a) and 9(b)] The abstract claims the theory is 'experimentally validate[d]', but the reported agreement is qualitative in the two central comparison figures. In Fig. 6(a), the model yields g-bar ≈ 15 and the data are described as 'consistent with this estimate in overall magnitude' rather than matching it. In Fig. 9(b), the theory predicts approximately 100 for the first temporal section after backgrounds, whereas the measured value is approximately 80; the text concedes 'this quantitative difference'. Given that the central scientific claims are quantitative correlation values, the authors should provide a quantitative agreement metric (e.g., chi-squared or residuals with statistical and systematic error bars) for the retrieval-tuning and pulse-duration scans in Figs. 6 and 8, and should temper the abstract's language if the agreement remains order-of-magnitude only.
  3. [Two-photon correlation properties, Eq. (22) and Figs. 5–6] The proposed mechanism for the flat DLCZ correlation—that retrieval reshapes the conditional readout signal and the accidental background approximately in parallel—is supported only by the model curves for a few parameter points (Fig. 5a–c and Fig. 6). No direct numerical or experimental breakdown of the correlated-coincidence versus accidental-background contributions is provided. Without such a decomposition, the reader cannot assess whether the predicted flatness is robust or an artifact of the specific integration windows and background model in Eq. (23). The authors should plot, or tabulate, the correlated and accidental contributions separately as functions of Ωc and Δc, and ideally compare them with a measured accidental-coincidence baseline from, e.g., anti-correlated time windows.
minor comments (5)
  1. [Introduction, paragraph 4] The phrase 'remains lacking' is a strong claim that should be softened or supported with a more explicit comparison to the cited recent theories in Refs. [78,81–84], which already treat propagation and spin-wave dynamics in related settings.
  2. [Methods, 'Undepleted large-detuning limit'] The definition of the complex decay parameters γ13 = γ23 = Γ3 − 2iΔd is standard but unconventional; since the HLEs use γ13/2 and γ23/2, a short parenthetical explaining that these are twice the complex optical-coherence decay rate would avoid confusion.
  3. [Fig. 3 caption] The caption does not define the dashed and solid curve styles in panel (b); the text refers to 'orange solid curves' for Stokes and the remaining curves for anti-Stokes, but adding a legend or explicit curve-type key would improve readability.
  4. [Experimental observations, Fig. 7(d)] The comparison of DLCZ peak g^(2) for 20-ns and 100-ns write pulses is presented as a prediction, but the experimental data in Fig. 8 are integrated over the full anti-Stokes window. The caption should state explicitly that the 20-ns curve is not directly compared to a measurement in Fig. 7(d).
  5. [Throughout] The data availability statement says data are available 'upon reasonable request'; given the experimental validation is central to the abstract, the authors should consider depositing the time-tagging datasets in a public repository to strengthen reproducibility.

Circularity Check

0 steps flagged · score 0.0 of 10

No circularity: the core derivation is solved from stated HLE/MSE equations, OD is calibrated by independent SFWM, and the documented omission of incoherent |2> fluorescence is an accuracy caveat rather than a circular step.

full rationale

The paper's central derivation is not circular. The write-stage theory (Eqs. (1)-(14)) solves the time-dependent Heisenberg-Langevin equations with a piecewise-constant propagator and a Laplace-transformed Maxwell-Schroedinger equation, and the retrieval model (Eqs. (19)-(21)) is a separate linear weak-excitation readout calculation whose input is the stored spin-wave operator from Eq. (17). The closed-form large-detuning limit (Eq. (15) with Eqs. (25)-(28)) is explicitly benchmarked against the independent undepleted-medium theory of Ref. [76], and the phenomenological depletion-corrected version is introduced only as an intermediate comparison, not as the experimental prediction. The optical depth used in the DLCZ calculations is calibrated in situ from SFWM correlated temporal profiles under identical alignment and atomic density, i.e., by an independent physical process, not by fitting the DLCZ g2 data. Leakage and dark-count backgrounds are stated as experimentally characterized count rates, and the theory reports quantitative residuals (e.g., predicted approximately 100 versus measured approximately 80 in the first temporal section) rather than adjusting parameters to force agreement. The DLCZ-versus-SFWM comparison uses the authors' previously validated SFWM open-system model (Refs. [96,97]), but this is a comparative benchmark; the DLCZ correlation predictions themselves are derived from the equations in this paper and do not reduce to that model. No uniqueness theorem, fitted parameter, or ansatz is imported by self-citation as a load-bearing premise. The paper's own explicit caveat that the retrieval model does not include fluorescence associated with incoherent population transferred to |2> (discussion following Eqs. (19)-(21)) is a real accuracy limitation for quantitative correlation values, but a limitation is not a circular reduction: the omission is acknowledged and is not an input used to derive the prediction. Therefore no step of the claimed derivation is equivalent by construction to its inputs.

Assumptions & free parameters 4 free parameters · 6 assumptions · 0 invented entities

No new entities are introduced; the model uses standard Rb hyperfine levels. Main assumptions are Markovian noise, first-order treatment of the Stokes field, Gaussian statistics, and weak-excitation retrieval. OD is an experimentally calibrated input, while gamma21, Delta k L, and measured backgrounds are stated parameters that affect absolute predictions.

free parameters (4)
  • Spin-wave decoherence rate gamma21 = 0.001 Gamma
    Set by hand for all calculations; controls storage decay and Stokes buildup; not measured within this paper.
  • Longitudinal phase mismatch Delta k L = 0.37 pi
    Stated as taken for the configuration; affects retrieval detuning asymmetry and anti-Stokes dynamics.
  • Leakage and dark-count background rates = Approximately 5%, 30%, and 60% of detected counts depending on configuration
    Included in theoretical curves; values are described as measured or estimated but not shown as separate calibrations, so absolute model predictions depend on them.
  • Resonant optical depth OD = 10
    Empirical input calibrated in situ via SFWM, not fitted to the DLCZ correlation data; listed because absolute model outputs depend on it.
assumptions (6)
  • domain assumption Markovian delta-correlated Langevin noise and local atomic correlations
    Used throughout the write and read Heisenberg-Langevin equations; standard for these ensembles but an idealization.
  • domain assumption First-order Stokes field with no backaction on mean atomic dynamics
    Invoked after Eq. (8); justified for weak excitation but limits the model when Stokes fields become intense.
  • domain assumption Gaussian statistics of field and noise, enabling Wick factorization
    Used to evaluate the fourth-order moments in Eq. (22) and the conditional autocorrelation; exact for the linear Gaussian-noise model.
  • domain assumption Weak-excitation retrieval with population predominantly in |1>
    Explicit in Eqs. (19)-(21); the model omits incoherent fluorescence from population transferred to |2>.
  • domain assumption Rotating-wave approximation and one-dimensional propagation along selected phase-matched modes
    Used in the interaction Hamiltonians and Maxwell-Schrodinger equations; ignores transverse multimode effects.
  • domain assumption Adiabatic elimination and quasistatic ODeff correction in the large-detuning limit
    Used for the analytic comparison in Fig. 2; not required for the full piecewise-constant propagator calculations.

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Cite this review

Pith. "Pith review of Time-resolved correlation engineering in DLCZ Raman photon sources." pith.science (2026). https://pith.science/paper/7RN4WUT3

@misc{pith2026260813091,
  author       = {Pith},
  title        = {Pith review of: Time-resolved correlation engineering in DLCZ Raman photon sources},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/7RN4WUT3}},
  note         = {Machine review of arXiv:2608.13091}
}
read the original abstract

Memory-assisted quantum networks require photon sources with controllable temporal and correlation properties. The Duan-Lukin-Cirac-Zoller (DLCZ) protocol provides a platform based on spontaneous Raman scattering in atomic ensembles, but a unified predictive theory connecting control parameters to correlations under realistic propagation and noise conditions remains lacking. Here we present a propagation-inclusive open-system quantum theory that retains write-induced population redistribution while combining Heisenberg-Langevin dynamics with Maxwell-Schr\"odinger propagation. We experimentally validate its key predictions. The theory predicts time-dependent Stokes generation, spin-wave evolution, retrieved anti-Stokes wavepackets, and time-resolved cross-correlations. Experiments confirm robust correlations under retrieval tuning and enhanced correlations for shorter write pulses, consistent with the different scaling of correlated coincidences and accidental backgrounds with the mean spin-wave excitation number. Classically controlled retrieval enables temporal gating and slicing of the anti-Stokes wavepacket, establishing a quantitative framework for correlation engineering in memory-compatible DLCZ photon sources.

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Reference graph

Works this paper leans on

110 extracted references · 77 canonical work pages

  1. [76]

    Raymer, M. G. & Mostowski, J. Stimulated Raman scattering: Unified treatment of spontaneous initiation and spatial propaga- tion.Phys. Rev. A24, 1980 (1981). 10.1103/PhysRevA.24.1980

    work page doi:10.1103/physreva.24.1980 1981

  2. [1]

    Kimble, H. J. The quantum internet.Nature453, 1023 (2008). 10.1038/nature07127

    doi:10.1038/nature07127 2008

  3. [2]

    & Hanson, R

    Wehner, S., Elkouss, D. & Hanson, R. Quantum internet: A vision for the road ahead.Science362, eaam9288 (2018). 10.1126/science.aam9288

    doi:10.1126/science.aam9288 2018

  4. [3]

    & Gisin, N

    Marcikic, I., de Riedmatten, H., Tittel, W., Zbinden, H. & Gisin, N. Long-distance teleportation of qubits at telecom- munication wavelengths.Nature421, 509 (2003). 10.1038/na- ture01376

    doi:10.1038/na- 2003

  5. [5]

    & Thew, R

    Monteiro, F., Martin, A., Sanguinetti, B., Zbinden, H. & Thew, R. T. Narrowband photon pair source for quantum networks. Opt. Express22, 4371 (2014). 10.1364/OE.22.004371

    work page doi:10.1364/oe.22.004371 2014

  6. [6]

    & Horikiri, T

    Niizeki, K., Ikeda, K., Zheng, M., Xie, X., Okamura, K., Takei, N., Namekata, N., Inoue, S., Kosaka, H. & Horikiri, T. Ultrabright narrow-band telecom two-photon source for long- distance quantum communication.Appl. Phys. Express11, 042801 (2018). 10.7567/APEX.11.042801

    work page doi:10.7567/apex.11.042801 2018

  7. [7]

    P., Yu, I

    Bruns, A., Hsu, C.-Y ., Stryzhenko, S., Giese, E., Yatsenko, L. P., Yu, I. A., Halfmann, T. & Peters, T. Ultrabright and narrowband intra-fiber biphoton source at ultralow pump power.Quantum Sci. Technol.8, 015002 (2023). 10.1088/2058- 9565/ac985c

    doi:10.1088/2058- 2023

  8. [8]

    Y ., Li, Y

    Gao, M. Y ., Li, Y . H., Li, Y ., Zhou, Z., Guo, G. C., Zhou, Z. Y . & Shi, B. S. Narrowband telecom-band polarization-entangled photon source by superposed monolithic cavities.Phys. Rev. A 109, 033720 (2024). 10.1103/PhysRevA.109.033720

    work page doi:10.1103/physreva.109.033720 2024

Show all 110 references
  1. [9]

    & Pan, J.-W

    Bao, X.-H., Qian, Y ., Yang, J., Zhang, H., Chen, Z.-B., Yang, T. & Pan, J.-W. Generation of narrow-band polarization-entangled photon pairs for atomic quantum memories.Phys. Rev. Lett. 101, 190501 (2008). 10.1103/PhysRevLett.101.190501

    2008 doi

  2. [11]

    & de Riedmatten, H

    Kutluer, K., Mazzera, M. & de Riedmatten, H. Solid-state source of nonclassical photon pairs with embedded multi- mode quantum memory.Phys. Rev. Lett.118, 210502 (2017). 10.1103/PhysRevLett.118.210502

    2017 doi

  3. [12]

    & Chen, Y .-C

    Tsai, P.-J. & Chen, Y .-C. Ultrabright, narrow-band photon-pair source for atomic quantum memories.Quantum Sci. Technol. 3, 034005 (2018). 10.1088/2058-9565/aa86e7

    2018 doi

  4. [14]

    & Firstenberg, O

    Davidson, O., Yogev, O., Poem, E. & Firstenberg, O. Single- photon synchronization with a room-temperature atomic quantum memory.Phys. Rev. Lett.131, 033601 (2023). 10.1103/PhysRevLett.131.033601

    2023 doi

  5. [15]

    Hammerer, K., Sørensen, A. S. & Polzik, E. S. Quantum inter- face between light and atomic ensembles.Rev. Mod. Phys.82, 1041 (2010). 10.1103/RevModPhys.82.1041

    2010 doi

  6. [16]

    M., Lukin, M

    Duan, L. M., Lukin, M. D., Cirac, J. I. & Zoller, P. Long- distance quantum communication with atomic ensembles and linear optics.Nature414, 413 (2001). 10.1038/35106500

    2001 doi

  7. [17]

    P., Boozer, A

    Kuzmich, A., Bowen, W. P., Boozer, A. D., Boca, A., Chou, C. W., Duan, L. M. & Kimble, H. J. Generation of nonclassical 14 photon pairs for scalable quantum communication with atomic ensembles.Nature423, 731 (2003). 10.1038/nature01714

    2003 doi

  8. [18]

    H., Eisaman, M

    van der Wal, C. H., Eisaman, M. D., André, A., Walsworth, R. L., Phillips, D. F., Zibrov, A. S. & Lukin, M. D. Atomic memory for correlated photon states.Science301, 196 (2003). 10.1126/science.1085946

    2003 doi

  9. [21]

    D., Childress, L., André, A., Massou, F., Zibrov, A

    Eisaman, M. D., Childress, L., André, A., Massou, F., Zibrov, A. S. & Lukin, M. D. Shaping quantum pulses of light via coherent atomic memory.Phys. Rev. Lett.93, 233602 (2004). 10.1103/PhysRevLett.93.233602

    2004 doi

  10. [22]

    N., Chanelière, T., Jenkins, S

    Matsukevich, D. N., Chanelière, T., Jenkins, S. D., Lan, S. Y ., Kennedy, T. A. B. & Kuzmich, A. Deterministic single photons via conditional quantum evolution.Phys. Rev. Lett.97, 013601 (2006). 10.1103/PhysRevLett.97.013601

    2006 doi

  11. [23]

    A., Strassel, T., Yuan, Z

    Chen, S., Chen, Y . A., Strassel, T., Yuan, Z. S., Zhao, B., Schmiedmayer, J. & Pan, J. W. Deterministic and storable single-photon source based on a quantum memory.Phys. Rev. Lett.97, 173004 (2006). 10.1103/PhysRevLett.97.173004

    2006 doi

  12. [24]

    N., Chanelière, T., Bhattacharya, M., Lan, S

    Matsukevich, D. N., Chanelière, T., Bhattacharya, M., Lan, S. Y ., Jenkins, S. D., Kennedy, T. A. B. & Kuzmich, A. Entangle- ment of a photon and a collective atomic excitation.Phys. Rev. Lett.95, 040405 (2005). 10.1103/PhysRevLett.95.040405

    2005 doi

  13. [25]

    N., Chanelière, T., Jenkins, S

    Matsukevich, D. N., Chanelière, T., Jenkins, S. D., Lan, S. Y ., Kennedy, T. A. B. & Kuzmich, A. Entanglement of remote atomic qubits.Phys. Rev. Lett.96, 030405 (2006). 10.1103/PhysRevLett.96.030405

    2006 doi

  14. [27]

    A., Zhao, B., Yuan, Z

    Chen, S., Chen, Y . A., Zhao, B., Yuan, Z. S., Schmiedmayer, J. & Pan, J. W. Demonstration of a stable atom-photon entangle- ment source for quantum repeaters.Phys. Rev. Lett.99, 180505 (2007). 10.1103/PhysRevLett.99.180505

    2007 doi

  15. [28]

    S., Chen, Y

    Yuan, Z. S., Chen, Y . A., Zhao, B., Chen, S., Schmiedmayer, J. & Pan, J. W. Experimental demonstration of a BDCZ quantum repeater node.Nature454, 1098 (2008). 10.1038/nature07241

    2008 doi

  16. [31]

    W., de Riedmatten, H., Polyakov, S

    Felinto, D., Chou, C. W., de Riedmatten, H., Polyakov, S. V . & Kimble, H. J. Control of decoherence in the generation of photon pairs from atomic ensembles.Phys. Rev. A72, 053809 (2005). 10.1103/PhysRevA.72.053809

    2005 doi

  17. [32]

    O., Jenkins, S

    Dudin, Y . O., Jenkins, S. D., Zhao, R., Matsukevich, D. N., Kuzmich, A. & Kennedy, T. A. B. Entanglement of a photon and an optical lattice spin wave.Phys. Rev. Lett.103, 020505 (2009). 10.1103/PhysRevLett.103.020505

    2009 doi

  18. [33]

    O., Jenkins, S

    Zhao, R., Dudin, Y . O., Jenkins, S. D., Campbell, C. J., Matsukevich, D. N., Kennedy, T. A. B. & Kuzmich, A. Long-lived quantum memory.Nat. Phys.5, 100 (2009). 10.1038/nphys1152

    2009 doi

  19. [34]

    & Peng, K

    Xu, Z., Wu, Y ., Tian, L., Chen, L., Zhang, Z., Yan, Z., Li, S., Wang, H., Xie, C. & Peng, K. Long lifetime and high- fidelity quantum memory of photonic polarization qubit by lift- ing Zeeman degeneracy.Phys. Rev. Lett.111, 240503 (2013). 10.1103/PhysRevLett.111.240503

    2013 doi

  20. [35]

    J., Wang, X

    Yang, S. J., Wang, X. J., Bao, X. H. & Pan, J. W. An efficient quantum light–matter interface with sub-second lifetime.Nat. Photonics10, 381 (2016). 10.1038/nphoton.2016.51

    2016 doi

  21. [36]

    & de Riedmatten, H

    Farrera, P., Heinze, G., Albrecht, B., Ho, M., Chávez, M., Teo, C., Sangouard, N. & de Riedmatten, H. Genera- tion of single photons with highly tunable wave shape from a cold atomic ensemble.Nat. Commun.7, 13556 (2016). 10.1038/ncomms13556

    2016 doi

  22. [37]

    B., Sørensen, A

    Zugenmaier, M., Dideriksen, K. B., Sørensen, A. S., Albrecht, B. & Polzik, E. S. Long-lived non-classical correlations to- wards quantum communication at room temperature.Commun. Phys.1, 76 (2018). 10.1038/s42005-018-0080-x

    2018 doi

  23. [38]

    J., Yang, S

    Wang, X. J., Yang, S. J., Sun, P. F., Jing, B., Li, J., Zhou, M. T., Bao, X. H. & Pan, J. W. Cavity-enhanced atom-photon entan- glement with subsecond lifetime.Phys. Rev. Lett.126, 090501 (2021). 10.1103/PhysRevLett.126.090501

    2021 doi

  24. [39]

    B., Schmieg, R., Zugenmaier, M

    Dideriksen, K. B., Schmieg, R., Zugenmaier, M. & Polzik, E. S. Room-temperature single-photon source with near- millisecond built-in memory.Nat. Commun.12, 3699 (2021). 10.1038/s41467-021-24033-8

    2021 doi

  25. [41]

    T., Thompson, J

    Black, A. T., Thompson, J. K. & Vuleti´c, V . On-Demand Super- radiant Conversion of Atomic Spin Gratings into Single Pho- tons with High Efficiency.Phys. Rev. Lett.95, 133601 (2005). 10.1103/PhysRevLett.95.133601

    2005 doi

  26. [42]

    Simon, J., Tanji, H., Thompson, J. K. & Vuleti ´c, V . Interfac- ing collective atomic excitations and single photons.Phys. Rev. Lett.98, 183601 (2007). 10.1103/PhysRevLett.98.183601

    2007 doi

  27. [43]

    & Grangier, P

    Bimbard, E., Boddeda, R., Vitrant, N., Grankin, A., Parigi, V ., Stanojevic, J., Ourjoumtsev, A. & Grangier, P. Homo- dyne tomography of a single photon retrieved on demand from a cavity-enhanced cold atom memory.Phys. Rev. Lett.112, 033601 (2014). 10.1103/PhysRevLett.112.033601

    2014 doi

  28. [45]

    E., Munns, J

    Thomas, S. E., Munns, J. H. D., Kaczmarek, K. T., Qiu, C., Brecht, B., Feizpour, A., Ledingham, P. M., Walmsley, I. A., Nunn, J. & Saunders, D. J. High efficiency Raman memory by suppressing radiation trapping.New J. Phys.19, 063034 (2017). 10.1088/1367-2630/aa7534

    2017 doi

  29. [46]

    & Wang, H

    Wang, M., Wang, S., Ma, T., Li, Y ., Xie, Y ., Jiao, H., Liu, H., Li, S. & Wang, H. Generation of highly retrievable atom photon entanglement with a millisecond lifetime via a spatially multiplexed cavity.Quantum7, 903 (2023). 10.22331/q-2023- 01-19-903

    2023 doi

  30. [47]

    Matsukevich, D. N. & Kuzmich, A. Quantum state transfer be- tween matter and light.Science306, 663 (2004). 10.1126/sci- ence.1103346 15

    2004 doi

  31. [48]

    W., de Riedmatten, H., Felinto, D., Polyakov, S

    Chou, C. W., de Riedmatten, H., Felinto, D., Polyakov, S. V ., Van Enk, S. J. & Kimble, H. J. Measurement-induced entangle- ment for excitation stored in remote atomic ensembles.Nature 438, 828 (2005). 10.1038/nature04353

    2005 doi

  32. [49]

    W., Laurat, J., Schomburg, E

    Felinto, D., Chou, C. W., Laurat, J., Schomburg, E. W., de Ried- matten, H. & Kimble, H. J. Conditional control of the quan- tum states of remote atomic memories for quantum networking. Nat. Phys.2, 844 (2006). 10.1038/nphys450

    2006 doi

  33. [50]

    A., Chen, S., Yuan, Z

    Chen, Y . A., Chen, S., Yuan, Z. S., Zhao, B., Chuu, C. S., Schmiedmayer, J. & Pan, J. W. Memory-built-in quantum tele- portation with photonic and atomic qubits.Nat. Phys.4, 103 (2008). 10.1038/nphys832

    2008 doi

  34. [51]

    S., Deng, H., Laurat, J

    Choi, K. S., Deng, H., Laurat, J. & Kimble, H. J. Mapping pho- tonic entanglement into and out of a quantum memory.Nature 452, 67 (2008). 10.1038/nature06670

    2008 doi

  35. [52]

    H., Xu, X

    Bao, X. H., Xu, X. F., Li, C. M., Yuan, Z. S., Lu, C. Y . & Pan, J. W. Quantum teleportation between remote atomic-ensemble quantum memories.Proc. Natl. Acad. Sci. USA109, 20347 (2012). 10.1073/pnas.1207329109

    2012 doi

  36. [53]

    L., Chen, L

    Bian, C. L., Chen, L. Q., Zhang, G. W., Ou, Z. Y . & Zhang, W. Retrieval of phase memory in two independent atomic en- sembles by Raman process.Europhys. Lett.97, 34005 (2012). 10.1209/0295-5075/97/34005

    2012 doi

  37. [55]

    P., Pang, X

    Li, H., Dou, J. P., Pang, X. L., Yang, T. H., Zhang, C. N., Chen, Y ., Li, J. M., Walmsley, I. A. & Jin, X. M. Heralding quan- tum entanglement between two room-temperature atomic en- sembles.Optica8, 925 (2021). 10.1364/OPTICA.424599

    2021 doi

  38. [57]

    S., Chen, Y

    Yuan, Z. S., Chen, Y . A., Chen, S., Zhao, B., Koch, M., Strassel, T., Zhao, Y ., Zhu, G. J., Schmiedmayer, J. & Pan, J. W. Syn- chronized independent narrow-band single photons and effi- cient generation of photonic entanglement.Phys. Rev. Lett.98, 180503 (2007). 10.1103/Phys...

    2007 doi

  39. [58]

    & Jin, X.-M

    Zhang, C.-N., Li, H., Dou, J.-P., Lu, F., Yang, H.-Z., Pang, X.-L. & Jin, X.-M. Hong–Ou–Mandel interference linking in- dependent room-temperature quantum memories.Photon. Res. 10, 2388 (2022). 10.1364/PRJ.463404

    2022 doi

  40. [59]

    W., Laurat, J., Deng, H., Choi, K

    Chou, C. W., Laurat, J., Deng, H., Choi, K. S., de Riedmat- ten, H., Felinto, D. & Kimble, H. J. Functional quantum nodes for entanglement distribution over scalable quantum networks. Science316, 1316 (2007). 10.1126/science.1140300

    2007 doi

  41. [60]

    Y ., Radnaev, A

    Lan, S. Y ., Radnaev, A. G., Collins, O. A., Matsuke- vich, D. N., Kennedy, T. A. B. & Kuzmich, A. A mul- tiplexed quantum memory.Opt. Express17, 13639 (2009). 10.1364/OE.17.013639

    2009 doi

  42. [61]

    S., Goban, A., Papp, S

    Choi, K. S., Goban, A., Papp, S. B., Van Enk, S. J. & Kimble, H. J. Entanglement of spin waves among four quantum memo- ries.Nature468, 412 (2010). 10.1038/nature09568

    2010 doi

  43. [62]

    F., Jiang, N., Chang, W., Yang, H

    Pu, Y . F., Jiang, N., Chang, W., Yang, H. X., Li, C. & Duan, L. M. Experimental realization of a multiplexed quantum memory with 225 individually accessible memory cells.Nat. Commun. 8, 15359 (2017). 10.1038/ncomms15359

    2017 doi

  44. [63]

    K., Chang, W., Zhang, S., Pu, Y

    Li, C., Wu, Y . K., Chang, W., Zhang, S., Pu, Y . F., Jiang, N. & Duan, L. M. High-dimensional entanglement between a photon and a multiplexed atomic quantum memory.Phys. Rev. A101, 032312 (2020). 10.1103/PhysRevA.101.032312

    2020 doi

  45. [64]

    K., Chang, W., Pu, Y

    Li, C., Jiang, N., Wu, Y . K., Chang, W., Pu, Y . F., Zhang, S. & Duan, L. M. Quantum communication between multi- plexed atomic quantum memories.Phys. Rev. Lett.124, 240504 (2020). 10.1103/PhysRevLett.124.240504

    2020 doi

  46. [66]

    & Wasilewski, W

    Parniak, M., D ˛ abrowski, M., Mazelanik, M., Leszczy ´nski, A., Lipka, M. & Wasilewski, W. Wavevector multiplexed atomic quantum memory via spatially-resolved single-photon detection.Nat. Commun.8, 2140 (2017). 10.1038/s41467-017- 02366-7

    2017 doi

  47. [67]

    Z., Wang, M

    Wang, S. Z., Wang, M. J., Wen, Y . F., Xu, Z. X., Ma, T. F., Li, S. J. & Wang, H. Long-lived and multiplexed atom-photon entanglement interface with feed-forward-controlled readouts. Commun. Phys.4, 168 (2021). 10.1038/s42005-021-00670-9

    2021 doi

  48. [68]

    & Wang, M

    Wang, S. & Wang, M. Multimode heralded single pho- tons based on the DLCZ.Appl. Opt.63, 2608 (2024). 10.1364/AO.517993

    2024 doi

  49. [69]

    & de Ried- matten, H

    Albrecht, B., Farrera, P., Heinze, G., Cristiani, M. & de Ried- matten, H. Controlled rephasing of single collective spin exci- tations in a cold atomic quantum memory.Phys. Rev. Lett.115, 160501 (2015). 10.1103/PhysRevLett.115.160501

    2015 doi

  50. [70]

    & Afzelius, M

    Laplane, C., Jobez, P., Etesse, J., Gisin, N. & Afzelius, M. Multimode and long-lived quantum correlations between pho- tons and spins in a crystal.Phys. Rev. Lett.118, 210501 (2017). 10.1103/PhysRevLett.118.210501

    2017 doi

  51. [71]

    & de Riedmatten, H

    Heller, L., Farrera, P., Heinze, G. & de Riedmatten, H. Cold- atom temporally multiplexed quantum memory with cavity- enhanced noise suppression.Phys. Rev. Lett.124, 210504 (2020). 10.1103/PhysRevLett.124.210504

    2020 doi

  52. [72]

    & Wang, H

    Wang, M., Jiao, H., Lu, J., Fan, W., Yang, Z., Xi, M., Li, S. & Wang, H. Heralded entanglement distribution between two spin-wave memories using temporally multi- plexed scheme.Laser Photonics Rev.18, 2300825 (2024). 10.1002/lpor.202300825

    2024 doi

  53. [73]

    F., Zhang, S., Wu, Y

    Pu, Y . F., Zhang, S., Wu, Y . K., Jiang, N., Chang, W., Li, C. & Duan, L. M. Experimental demonstration of memory-enhanced scaling for entanglement connection of quantum repeater seg- ments.Nat. Photonics15, 374 (2021). 10.1038/s41566-021- 00781-1

    2021 doi

  54. [74]

    K., Jiang, N., Pu, Y

    Li, C., Zhang, S., Wu, Y . K., Jiang, N., Pu, Y . F. & Duan, L. M. Multicell atomic quantum memory as a hardware-efficient quantum repeater node.PRX Quantum2, 040307 (2021). 10.1103/PRXQuantum.2.040307

    2021 doi

  55. [75]

    & Wang, H

    Wang, M., Jiao, H., Lu, J., Fan, W., Li, S. & Wang, H. Entangle- ment swapping with spatially multiplexed modes in an atomic- ensemble quantum memory in a single excitation regime.Op- tica12, 274 (2025). 10.1364/OPTICA.539388

    2025 doi

  56. [77]

    & Sobolewska, B

    Mostowski, J. & Sobolewska, B. Transverse effects in stim- ulated Raman scattering.Phys. Rev. A30, 610 (1984). 10.1103/PhysRevA.30.610

    1984 doi

  57. [78]

    Sørensen, M. W. & Sørensen, A. S. Three-dimensional the- ory of stimulated Raman scattering.Phys. Rev. A80, 033804 (2009). 10.1103/PhysRevA.80.033804

    2009 doi

  58. [80]

    & Gisin, N

    Sangouard, N., Simon, C., de Riedmatten, H. & Gisin, N. Quantum repeaters based on atomic ensembles and linear optics.Rev. Mod. Phys.83, 33 (2011). 10.1103/RevMod- Phys.83.33

    2011 doi

  59. [81]

    & Sangouard, N

    Ho, M., Teo, C., de Riedmatten, H. & Sangouard, N. Opti- mal photon generation from spontaneous Raman processes in cold atoms.New J. Phys.20, 123018 (2018). 10.1088/1367- 2630/aaf3c5

    2018 doi

  60. [82]

    Ooi, C. H. R., Huang, Y . & Lee, J. W. Spatial-temporal dy- namics of stimulated Raman scattering: Effects of populations and two-photon detuning.Physics Open19, 100211 (2024). 10.1016/j.physo.2024.100211

    2024

  61. [84]

    V ., André, A., Lukin, M

    Gorshkov, A. V ., André, A., Lukin, M. D. & Sørensen, A. S. Photon storage inΛ-type optically dense atomic me- dia. II. Free-space model.Phys. Rev. A76, 033805 (2007). 10.1103/PhysRevA.76.033805

    2007 doi

  62. [86]

    K., Simon, J., Loh, H

    Thompson, J. K., Simon, J., Loh, H. & Vuleti ´c, V . A high- brightness source of narrowband, identical-photon pairs.Sci- ence313, 74 (2006). 10.1126/science.1127676

    2006 doi

  63. [87]

    & Kim, Y .-H

    Cho, Y .-W., Park, K.-K., Lee, J.-C. & Kim, Y .-H. Engineer- ing frequency-time quantum correlation of narrow-band bipho- tons from cold atoms.Phys. Rev. Lett.113, 063602 (2014). 10.1103/PhysRevLett.113.063602

    2014 doi

  64. [88]

    & Moon, H

    Park, J., Jeong, T., Kim, H. & Moon, H. S. Time-energy en- tangled photon pairs from Doppler-broadened atomic ensem- ble via collective two-photon coherence.Phys. Rev. Lett.121, 263601 (2018). 10.1103/PhysRevLett.121.263601

    2018 doi

  65. [89]

    Wang, Y .-S., Li, K.-B., Chang, C.-F., Lin, T.-W., Li, J.-Q., Hsiao, S.-S., Chen, J.-M., Lai, Y .-H., Chen, Y .-C., Chen, Y .- F., Chuu, C.-S. & Yu, I. A. Temporally ultralong biphotons with a linewidth of 50 kHz.APL Photonics7, 126102 (2022). 10.1063/5.0102393

    2022 doi

  66. [90]

    Electromagnetically-induced-transparency-based paired photon generation.Phys

    Kolchin, P. Electromagnetically-induced-transparency-based paired photon generation.Phys. Rev. A75, 033814 (2007). 10.1103/PhysRevA.75.033814

    2007 doi

  67. [91]

    Ooi, C. H. R., Sun, Q., Zubairy, M. S. & Scully, M. O. Corre- lation of photon pairs from the double Raman amplifier: Gen- eralized analytical quantum Langevin theory.Phys. Rev. A75, 013820 (2007). 10.1103/PhysRevA.75.013820

    2007 doi

  68. [92]

    & Arimondo, E

    Glorieux, Q., Dubessy, R., Guibal, S., Guidoni, L., Likforman, J.-P., Coudreau, T. & Arimondo, E. Double-Λmicroscopic model for entangled light generation by four-wave mixing. Phys. Rev. A82, 033819 (2010). 10.1103/PhysRevA.82.033819

    2010 doi

  69. [94]

    Jiang, Y ., Mei, Y . & Du, S. Quantum Langevin theory for two coupled phase-conjugated electromagnetic waves.Phys. Rev. A 107, 053703 (2023). 10.1103/PhysRevA.107.053703

    2023 doi

  70. [95]

    & Wu, J.-H

    Cui, K.-S., Zhang, X.-J. & Wu, J.-H. Enhanced photon-pair generation under coherent control.Phys. Rev. A109, 063701 (2024). 10.1103/PhysRevA.109.063701

    2024 doi

  71. [96]

    & Chen, Y .-F

    Shiu, J.-S., Lin, C.-W. & Chen, Y .-F. Asymmetric bipho- ton generation under ground-state decoherence and phase mis- match in a cold atomic ensemble.Adv. Quantum Technol.8, e2500052 (2025). 10.1002/qute.202500052

    2025 doi

  72. [98]

    E., Field, J

    Harris, S. E., Field, J. E. & Imamo˘glu, A. Nonlinear optical pro- cesses using electromagnetically induced transparency.Phys. Rev. Lett.64, 1107 (1990). 10.1103/PhysRevLett.64.1107

    1990 doi

  73. [99]

    & Marangos, J

    Fleischhauer, M., Imamoglu, A. & Marangos, J. P. Electromag- netically induced transparency: Optics in coherent media.Rev. Mod. Phys.77, 633 (2005). 10.1103/RevModPhys.77.633

    2005 doi

  74. [100]

    & Chen, Y .-F

    Hsu, H., Cheng, C.-Y ., Shiu, J.-S., Chen, L.-C. & Chen, Y .-F. Quantum fidelity of electromagnetically induced trans- parency: the full quantum theory.Opt. Express30, 2097 (2022). 10.1364/OE.448334

    2022 doi

  75. [101]

    & Chen, Y .-F

    Shiu, J.-S., Lin, C.-W., Huang, Y .-C., Lin, M.-J., Huang, I., Wu, T.-H., Kuan, P.-C. & Chen, Y .-F. Frequency-tunable bipho- ton generation via spontaneous four-wave mixing.Phys. Rev. A 110, 063723 (2024). 10.1103/PhysRevA.110.063723

    2024 doi

  76. [103]

    F., Barros, D

    Ortiz-Gutiérrez, L., Muñoz-Martínez, L. F., Barros, D. F., Morales, J. E. O., Moreira, R. S. N., Alves, N. D., Tieco, A. F. G., Saldanha, P. L. & Felinto, D. Experimental Fock- state superradiance.Phys. Rev. Lett.120, 083603 (2018). 10.1103/PhysRevLett.120.083603

    2018 doi

  77. [104]

    F., Muñoz-Martínez, L

    Barros, D. F., Muñoz-Martínez, L. F., Ortiz-Gutiérrez, L., Guerra, C. A. E., Morales, J. E. O., Moreira, R. S. N., Alves, N. D., Tieco, A. F. G., Felinto, D. & Saldanha, P. L. Fock-state superradiance in a cold atomic ensemble.Opt. Commun.443, 34 (2019). 10.1016/j.optcom.2019.01.039

    2019 doi

  78. [106]

    & Jin, X.-M

    Yang, T.-H., Zhang, C.-N., Dou, J.-P., Pang, X.-L., Li, H., Zhou, W.-H., Chang, Y .-J. & Jin, X.-M. Time-bin entanglement built in room-temperature quantum memory.Phys. Rev. A103, 062403 (2021). 10.1103/PhysRevA.103.062403

    2021 doi

  79. [107]

    F., Chau, H

    Liu, C., Zhang, S., Zhao, L., Chen, P., Fung, C.-H. F., Chau, H. F., Loy, M. M. T. & Du, S. Differential-phase-shift quantum key distribution using heralded narrow-band single photons.Opt. Express21, 9505 (2013). 10.1364/OE.21.009505

    2013 doi

  80. [108]

    G., Wong, J

    Kaneda, F., Christensen, B. G., Wong, J. J., Park, H. S., Mc- Cusker, K. T. & Kwiat, P. G. Time-multiplexed heralded single- photon source.Optica2, 1010–1013 (2015). 10.1364/OP- TICA.2.001010

    2015 doi

  81. [109]

    & Wang, H

    Li, Y ., Wen, Y ., Wang, S., Liu, C., Liu, H., Wang, M., Sun, C., Gao, Y ., Li, S. & Wang, H. Generation of entangle- ment between a highly wave-packet-tunable photon and a spin- wave memory in cold atoms.Opt. Express30, 2792 (2022). 10.1364/OE.446837

    2022 doi

  82. [110]

    N., Jenkins, S

    Chanelière, T., Matsukevich, D. N., Jenkins, S. D., Lan, S.- Y ., Kennedy, T. A. B. & Kuzmich, A. Storage and retrieval of single photons transmitted between remote quantum memories. Nature438, 833 (2005). 10.1038/nature04315

    2005 doi

  83. [111]

    D., André, A., Massou, F., Fleischhauer, M., Zi- brov, A

    Eisaman, M. D., André, A., Massou, F., Fleischhauer, M., Zi- brov, A. S. & Lukin, M. D. Electromagnetically induced trans- parency with tunable single-photon pulses.Nature438, 837 (2005). 10.1038/nature04327 17

    2005 doi

  84. [112]

    & Vuleti´c, V

    Simon, J., Tanji, H., Ghosh, S. & Vuleti´c, V . Single-photon bus connecting spin-wave quantum memories.Nat. Phys.3, 765 (2007). 10.1038/nphys726

    2007 doi

  85. [113]

    & Guo, G.-C

    Ding, D.-S., Zhou, Z.-Y ., Shi, B.-S. & Guo, G.-C. Single- photon-level quantum image memory based on cold atomic en- sembles.Nat. Commun.4, 2527 (2013). 10.1038/ncomms3527

    2013 doi

  86. [114]

    & de Ried- matten, H

    Farrera, P., Maring, N., Albrecht, B., Heinze, G. & de Ried- matten, H. Nonclassical correlations between a C-band tele- com photon and a stored spin-wave.Optica3, 1019 (2016). 10.1364/OPTICA.3.001019

    2016 doi

  87. [115]

    & Imoto, N

    Ikuta, R., Kobayashi, T., Kawakami, T., Miki, S., Yabuno, M., Yamashita, T., Terai, H., Koashi, M., Mukai, T., Yamamoto, T. & Imoto, N. Polarization insensitive frequency conversion for an atom-photon entanglement distribution via a telecom network.Nat. Commun.9, 1997 (2018). ...

    2018 doi

  88. [116]

    & Chen, Y .- F

    Cheng, C.-Y ., Lee, J.-J., Liu, Z.-Y ., Shiu, J.-S. & Chen, Y .- F. Quantum frequency conversion based on resonant four- wave mixing.Phys. Rev. A103, 023711 (2021). 10.1103/Phys- RevA.103.023711

    2021 doi

  89. [117]

    A., Chen, Y .-C

    Cheng, C.-Y ., Liu, Z.-Y ., Hu, P.-S., Wang, T.-N., Chien, C.-Y ., Lin, J.-K., Juo, J.-Y ., Shiu, J.-S., Yu, I. A., Chen, Y .-C. & Chen, Y .-F. Efficient frequency conversion based on resonant four- wave mixing.Opt. Lett.46, 681 (2021). 10.1364/OL.414263

    2021 doi

  90. [118]

    & Chen, Y .-F

    Tseng, P.-H., Chen, L.-C., Shiu, J.-S. & Chen, Y .-F. Quantum interface for telecom frequency conversion based on diamond- type atomic ensembles.Phys. Rev. A109, 043716 (2024). 10.1103/PhysRevA.109.043716

    2024 doi

  91. [119]

    & Chen, Y .-F

    Chen, L.-C., Lin, M.-Y ., Shiu, J.-S., Zhong, X.-Q., Tseng, P.- H. & Chen, Y .-F. High-efficiency telecom frequency conversion via a diamond-type atomic ensemble.Phys. Rev. A112, 013709 (2025). 10.1103/mp7d-87nw

    2025 doi

  92. [120]

    & Chen, Y .-F

    Chen, L.-C., Lin, C.-W., Shiu, J.-S., Chen, W.-L., Wang, Y .- C. & Chen, Y .-F. High-efficiency telecom conversion of her- alded atomic biphoton wavepackets.Opt. Lett.51, 3862 (2026). 10.1364/OL.603633

    2026 doi

  93. [121]

    & Pan, J.- W

    Zhao, B., Chen, Y .-A., Bao, X.-H., Strassel, T., Chuu, C.-S., Jin, X.-M., Schmiedmayer, J., Yuan, Z.-S., Chen, S. & Pan, J.- W. A millisecond quantum memory for scalable quantum net- works.Nat. Phys.5, 95 (2009). 10.1038/nphys1153

    2009 doi

  94. [122]

    & Pan, J.-W

    Jiang, Y ., Rui, J., Bao, X.-H. & Pan, J.-W. Dynamical zeroing of spin-wave momentum to suppress motional dephasing in an atomic-ensemble quantum memory.Phys. Rev. A93, 063819 (2016). 10.1103/PhysRevA.93.063819

    2016 doi

  95. [123]

    P., Wu, Y

    Gujarati, T. P., Wu, Y . & Duan, L. Intrinsic retrieval efficiency for quantum memories: A three-dimensional theory of light in- teraction with an atomic ensemble.Phys. Rev. A97, 033826 (2018). 10.1103/PhysRevA.97.033826

    2018 doi

  96. [124]

    & Wasilewski, W

    Mazelanik, M., D ˛ abrowski, M. & Wasilewski, W. Correlation steering in the angularly multimode Raman atomic memory. Opt. Express24, 21995 (2016). 10.1364/OE.24.021995

    2016 doi

  97. [125]

    & Wasilewski, W

    Chrapkiewicz, R., D ˛ abrowski, M. & Wasilewski, W. High- capacity angularly multiplexed holographic memory operating at the single-photon level.Phys. Rev. Lett.118, 063603 (2017). 10.1103/PhysRevLett.118.063603

    2017 doi

  98. [126]

    & Kozuma, M

    Inoue, R., Kanai, N., Yonehara, T., Miyamoto, Y ., Koashi, M. & Kozuma, M. Entanglement of orbital angular momentum states between an ensemble of cold atoms and a photon.Phys. Rev. A 74, 053809 (2006). 10.1103/PhysRevA.74.053809

    2006 doi

  99. [127]

    & Kozuma, M

    Inoue, R., Yonehara, T., Miyamoto, Y ., Koashi, M. & Kozuma, M. Measuring qutrit-qutrit entanglement of orbital angular mo- mentum states of an atomic ensemble and a photon.Phys. Rev. Lett.103, 110503 (2009). 10.1103/PhysRevLett.103.110503

    2009 doi

  100. [128]

    & Shi, B.-S

    Ding, D.-S., Dong, M.-X., Zhang, W., Shi, S., Yu, Y .-C., Ye, Y .-H., Guo, G.-C. & Shi, B.-S. Broad spiral bandwidth of or- bital angular momentum interface between photon and mem- ory.Commun. Phys.2, 100 (2019). 10.1038/s42005-019-0201- 1

    2019 doi

  101. [129]

    & Chen, Y .-F

    Lin, C.-W., Ma, Y .-T., Shiu, J.-S. & Chen, Y .-F. Polariza- tion entanglement in atomic biphotons via orbital-angular- momentum-to-spin mapping.Phys. Rev. A113, L041702 (2026). 10.1103/wlsg-f6kl

    2026 doi

  102. [130]

    Steck, D. A. Rubidium 87 D Line Data, revision 2.3.4 (8 Au- gust 2025). Available online. ACKNOWLEDGEMENTS This work was supported by the National Science and Tech- nology Council of Taiwan under Grant Nos. 114-2112-M- 006-007, 115-2119-M-007-004, and 115-2112-M-006-001. Addit...

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