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Subradiance-protected excitation spreading in the generation of collimated photon emission from an atomic array

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Pith's one-line read This paper shows that a localized single-photon excitation in a 2D atomic array can be transferred into a delocalized subradiant collective mode and then released as a photon beam collimated along the axis normal to the array plane.

desk verdict A credible numerical demonstration that a localized single photon in a 2D atomic array can be stored in a subradiant collective mode and released as a collimated beam; the AFM route has an experimental caveat but the physics is sound. read the letter →

arxiv 1909.01912 v3 pith:SIM7EYDK submitted 2019-09-04 cond-mat.quant-gas physics.atom-phphysics.opticsquant-ph

K. E. Ballantine , J. Ruostekoski This is my paper · ORCID
classification cond-mat.quant-gasphysics.atom-phphysics.opticsquant-ph
keywords subradianceatomicarrayscollectiveeigenmodessingle-photonstoragedirectionalemissiondipole-dipoleinteractionsantiferromagneticmodeZeemanlevelshifts
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

This paper establishes a protocol in which a single photon initially localized on a few atoms of a two-dimensional square array---and therefore free to radiate in all directions---spreads into a delocalized collective excitation whose decay is suppressed by subradiance. The authors identify two target eigenmodes that can store the excitation: a uniform out-of-plane mode with all dipoles in phase, and an antiferromagnetic mode with neighboring dipoles $\pi$ out of phase, the latter protected by lying outside the light cone at spacings below $\lambda/\sqrt{2}$. Turning on a Zeeman level shift couples the stored dark mode to a bright in-plane mode, so the photon is emitted only within a narrow cone around the axis perpendicular to the array. The result is a free-space, cavity-free conversion of local omnidirectional emission into effectively one-dimensional photon propagation, which could serve as a coherent link between stages of a quantum information architecture.

What carries the argument

The machinery is the collective-mode description of the non-Hermitian coupling matrix $H'$ whose entries come from the dipole radiation kernel $G'$ between every pair of atoms; its eigenvectors are the collective excitation modes, each with a resonance shift and a linewidth. Subradiant eigenmodes have very small linewidths and therefore dominate after the transient modes decay. Zeeman level shifts break the isotropy of the $J=0\to J'=1$ transition and rotate out-of-plane polarization into in-plane polarization; this is how the localized excitation is imprinted with the correct phase pattern and how the stored excitation is later coupled to the bright in-plane mode. The release step is summarized by a two-mode model, Eqs. (24), for the dark out-of-plane and bright in-plane modes.

What would settle it

Prepare a $31\times31$ square array of atoms with spacing $d=0.75\lambda$, excite the central nine atoms to an in-phase out-of-plane polarization, wait $\gamma t\approx800$, then apply Zeeman splitting $\Delta=3.3\gamma$ for $0.5/\gamma$ and measure the angular distribution of the emitted light: the central claim fails if the emission is not sharply peaked near the array normal with $\theta_{\mathrm{max}}\approx0.05(\pi/2)$, rather than omnidirectional.

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Extended reading notes

Core claim

On the paper's own terms, the central discovery is that subradiant collective eigenmodes of a two-dimensional atomic lattice can act as protected transport channels: an excitation placed on roughly 1% of the atoms decays into a mode that extends over the entire array, and because that mode couples weakly to radiation, it survives long after all other components have decayed. The uniform out-of-plane mode has linewidth scaling roughly as $N^{-0.9}$, while the antiferromagnetic mode below the light line is far more protected, with linewidth scaling roughly as $N^{-3}$; a localized excitation with a checkerboard phase pattern feeds this mode. Releasing the stored photon by Zeeman splitting transfers the population to the uniform in-plane bright mode, and the resulting far field is a zeroth-order Bragg peak: for a $31\times31$ array the 99%-containment angle is $\theta_{\mathrm{max}}\approx0.05(\pi/2)$, dropping to $\approx0.02(\pi/2)$ for $71\times71$, tending to pure one-dimensional propagation in the infinite-array limit.

Load-bearing premise

The protocol assumes that a localized single excitation can be created with a prescribed phase pattern---including, for the longest-lived antiferromagnetic mode, alternating $\pi$ phases on neighboring sites via site-dependent Zeeman shifts---so if that level of single-site control cannot be achieved with sufficient fidelity, the protected spreading and collimated release cannot occur.

Editorial extensions

If this is right

  • For a $31\times31$ array at $d=0.75\lambda$, an in-phase out-of-plane excitation on the central nine atoms evolves so that the uniform out-of-plane mode carries essentially all of the surviving excitation after times of order $800/\gamma$, despite having only about 3.5% of the initial occupation.
  • Releasing from the uniform mode with $\Delta=3.3\gamma$ for $0.5/\gamma$ produces emission collimated to $\theta_{\mathrm{max}}\approx0.05(\pi/2)$ for $31\times31$ and $\approx0.02(\pi/2)$ for $71\times71$; in the infinite-array limit the radiation is purely along the array normal.
  • The antiferromagnetic mode at $d=0.45\lambda$ lies below the light line and has a linewidth much smaller than the uniform modes, so it offers the longest storage; the cost is an initial checkerboard phase pattern over the excited atoms.
  • Because the initial excitation can be a single photon, the occupation measure directly gives the probability that the photon reaches the target mode: about 1 in 30 realizations for the antiferromagnetic example and somewhat lower for the uniform example.
  • Finite position fluctuations around lattice sites degrade the lifetime, but the out-of-plane excitation still decays far more slowly than an in-plane localized excitation, so the protection does not require perfectly pinned atoms.

Reading between the lines

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

  • Because the same array can be read out with either a uniform or an alternating Zeeman pattern, the protocol could act as a controllable router: the choice of shift pattern selects which protected mode is coupled to the bright mode, releasing photons with different spatial phase profiles from the same stored state.
  • Since the single-excitation dynamics is formally equivalent to classical coupled dipoles, the collimation itself is a classical wave effect; a quantum advantage would require multi-photon or entangled states, which the paper leaves as future work.
  • The two-mode release step is structurally an EIT analogue in which the coupling laser is replaced by a global level shift, suggesting the scheme could be extended to stop or delay weak coherent pulses rather than single photons, with the array as a reconfigurable quantum memory.
  • A direct experimental test could use a clock transition with small $d/\lambda$, such as the $^3P_0\to{}^3D_1$ transition of $^{88}$Sr mentioned in the paper, where $d/\lambda\approx0.08$ puts the AFM mode deep in the subradiant regime.
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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

0 major / 4 minor

Summary. The paper proposes and analyzes a protocol in a two-dimensional square array of cold atoms with a J=0 to J'=1 transition. Starting from a single-photon excitation localized on a few central atoms, the authors show numerically that the excitation can evolve into a delocalized, strongly subradiant collective eigenmode: either the uniform out-of-plane mode or the antiferromagnetic out-of-plane mode. The stored excitation is then released by turning on a Zeeman level shift that couples the subradiant mode to the uniform in-plane bright mode, producing photon emission collimated along the axis perpendicular to the array plane. The central results are obtained by exact numerical solution of the single-excitation dipole-dipole master equation, complemented by an eigenmode analysis, a two-mode model for the release dynamics, and a disorder study based on stochastic position fluctuations.

Significance. If the results hold, this is a valuable and concrete protocol for converting an omnidirectionally emitting localized excitation into directional, collective emission, with potential application to modular quantum information architectures. The paper's strengths include the use of exact numerical integration of the many-atom master equation, clearly stated parameters with no fitting to the target output, a direct demonstration of subradiance-protected spreading for two distinct modes, quantitative far-field collimation data for several lattice sizes, and an explicit treatment of position fluctuations that shows robustness of the storage enhancement. The authors also honestly disclose the modest single-photon success probability (~3%) of the transfer, which is consistent with the probabilistic nature of the scheme.

minor comments (4)
  1. [II E] The release of the antiferromagnetic mode is stated rather than demonstrated: the text says the stored AFM mode 'could also be released in a similar manner' and numerical results are shown only for the uniform mode. Since the two-mode model and the staggered Zeeman coupling make the claim plausible, this is not a blocking issue, but a concise symmetry argument or a sample release simulation would remove the only extrapolation in the protocol.
  2. [II A, Eq. (15)] The occupation measure L_j is defined using v_j^T b(t) even though H' is non-Hermitian and its eigenvectors are not mutually orthogonal in the usual sense. Please clarify whether a biorthogonal convention is intended and how the normalization in the denominator is fixed; this would help readers reproduce the occupation plots.
  3. [Fig. 3 caption] The caption contains a typo: 'Here the the 31×31 lattice' should read 'Here the 31×31 lattice'.
  4. [II D 2] The statement that the delocalized uniform mode 'quickly grows to 100% of the remaining excitation' could be misread as unit occupation; consider adding a brief sentence clarifying that this refers to the normalized occupation measure among the surviving excitation, not the total initial probability.

Circularity Check

0 steps flagged · score 0.0 of 10

No significant circularity: the excitation-spreading and release dynamics follow from the physical dipole kernel and are simulated or symmetry-argued, with no fitted input renamed as a prediction.

full rationale

The derivation chain is self-contained: the single-excitation amplitudes evolve via b-dot = iH'b with H' built from the physical dipole radiation kernel in Eqs. (1)-(7), and no parameter is fitted to the claimed output. The target modes PP and PAF are eigenmodes of the same H', but their eventual dominance follows from Eq. (14), c_n(t) = exp[t(i delta_n - upsilon_n)] c_n(0), together with the numerically computed initial overlaps for the specified localized initial states. The substantive result is that a localized excitation has nonzero overlap with these extremely subradiant delocalized eigenmodes, and that this overlap survives to dominate at intermediate times; this is a computed consequence, not an imposed constraint. The release step is also treated honestly: the uniform-mode release is simulated on the full lattice in Fig. 6, giving theta_max = 0.05(pi/2) for 31x31 and 0.02(pi/2) for 71x71. The AFM release is not directly simulated; the paper states in Sec. II E, "While we show here numerical results for the case of the uniform mode, the stored AFM mode could also be released in a similar manner." That is a missing numerical demonstration, not circular reasoning: the alternating Zeeman pattern in Eq. (24) couples the AFM out-of-plane mode to the uniform in-plane mode by symmetry, and the two-mode model is cited from prior work [27,29]. These self-citations are not load-bearing in a circular sense because the uniform-mode release is independently simulated in the present paper, and the cited two-mode dynamics are parameter-free theoretical results that do not assume the AFM-release conclusion. Implementability caveats (site-dependent alternating shifts; roughly 3% single-photon success probability) are explicitly disclosed and concern experimental realizability, not the logical structure of the derivation. Therefore no prediction in the paper reduces by construction to its inputs.

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

No new physical entities are introduced. The paper's contribution is a protocol built on standard dipole-dipole electrodynamics; the main axioms are the single-excitation restriction and the completeness/occupation-measure assumptions for non-Hermitian modes, plus the two-mode release approximation.

free parameters (4)
  • Lattice spacing d = 0.75λ (PP mode), 0.45λ (AFM mode)
    The protocol requires subwavelength spacings where the target modes are subradiant; the chosen values are inputs, not fitted to a measured output.
  • Zeeman splitting Δ = 3.3γ
    Used for the release pulse in Fig. 6; chosen to couple PP to PI quickly. The value is an experimental control, not fitted.
  • Release pulse duration = 0.5/γ
    Short pulse to transfer occupation before decay; chosen by hand in Sec. II E.
  • Initial excitation size = 9 atoms (3x3); also 16 and 25
    The protocol starts with a localized excitation; larger initial patches improve target-mode overlap (0.07 for 16 atoms, 0.1 for 25) as stated in Sec. II D 2.
assumptions (6)
  • domain assumption Single-excitation subspace is closed under the dynamics and sufficient for the protocol.
    Sec. II A: the master equation is restricted to one electronic excitation; multi-excitation and higher-order correlations are neglected, and the authors note future work would be needed to include them (Sec. III).
  • domain assumption The non-Hermitian coupling matrix H' has a complete basis of eigenmodes.
    Sec. II A: 'we find that in all our numerical simulations they still form a complete basis.' This is needed to expand the state as b(t) = sum_n c_n v_n.
  • domain assumption The occupation measure L_j(t) = |v_j^T b(t)|^2 / sum_i |v_i^T b(0)|^2 accurately represents mode occupations.
    Sec. II A, Eq. (15), attributed to Ref. [27]; the measure is used to identify the dominant mode, so its accuracy is load-bearing for the transfer claim.
  • domain assumption Atoms are stationary except for independent Gaussian position fluctuations.
    Sec. II F: each realization uses fixed atom positions drawn from the harmonic oscillator ground state; the authors cite Refs. [74,84] for exactness at low light intensity.
  • standard math The contact term in the dipole kernel is removed (hard-core point dipoles).
    Sec. II A, Eqs. (4)-(5): G' = G + δ(r)/3; standard treatment for point dipoles that cannot overlap.
  • ad hoc to paper The release dynamics is captured by the two-mode model of Eqs. (24a)-(24b).
    Sec. II E: the model couples only the target out-of-plane mode and the uniform in-plane mode, and the authors state it qualitatively captures the dynamics because phase matching suppresses other modes. The full numerical solution is also presented.

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Pith. "Pith review of Subradiance-protected excitation spreading in the generation of collimated photon emission from an atomic array." pith.science (2026). https://pith.science/paper/SIM7EYDK

@misc{pith2026190901912,
  author       = {Pith},
  title        = {Pith review of: Subradiance-protected excitation spreading in the generation of collimated photon emission from an atomic array},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/SIM7EYDK}},
  note         = {Machine review of arXiv:1909.01912}
}
abstract

We show how an initial localized radiative excitation in a two-dimensional array of cold atoms can be converted into highly-directional coherent emission of light by protecting the spreading of the excitation across the array in a subradiant collective eigenmode with a lifetime orders of magnitude longer than that of an isolated atom. We demonstrate how to reach two such strongly subradiant modes, a uniform one where all the dipoles are oscillating in phase normal to the plane and an antiferromagnetic mode where each dipole is $\pi$ out of phase with its nearest neighbor. The excitation, which can consist of a single photon, is then released from the protected subradiant eigenmode by controlling the Zeeman level shifts of the atoms. Hence, an original localized excitation which emits in all directions is transferred to a delocalized subradiance-protected excitation, with a probabilistic emission of a photon only along the axis perpendicular to the plane of the atoms. This protected spreading and directional emission could potentially be used to link stages in a quantum information or quantum computing architecture.

Figures

Figures reproduced from arXiv: 1909.01912 by the authors.

Figure 1
Figure 1. FIG. 1. (a) Illustration of planar array of atoms with an [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. FIG. 2. Collective linewidth as a function of lattice spac [PITH_FULL_IMAGE:figures/full_fig_p005_2.png] view at source ↗
Figure 3
Figure 3. FIG. 3. Time evolution and initial eigenmode distribution of [PITH_FULL_IMAGE:figures/full_fig_p006_3.png] view at source ↗
Figures from the paper (4 more)
Figure 4
Figure 4. Figure 4: FIG. 4. Spatial distribution of the absolute value of polarization [PITH_FULL_IMAGE:figures/full_fig_p007_4.png]
Figure 5
Figure 5. Figure 5: FIG. 5. Time [PITH_FULL_IMAGE:figures/full_fig_p007_5.png]
Figure 6
Figure 6. Figure 6: FIG. 6. Highly collimated light emission from a uniform [PITH_FULL_IMAGE:figures/full_fig_p008_6.png]
Figure 7
Figure 7. Figure 7: in the case of the uniform excitation to the distri￾bution of the most subradiant modes which contribute up to 30% of the initial excitation of each realization, shown in green. Although disorder means that each realization has far fewer very subradiant modes, these fe…

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Works this paper leans on

88 extracted references · 69 canonical work pages

  1. [1]

    II C) is established, the Zeeman shift is turned off, and the state evolves with ∆ = 0 until we consider releasing the excitation in Sec

    Collective modes Once the initial excitation (Sec. II C) is established, the Zeeman shift is turned off, and the state evolves with ∆ = 0 until we consider releasing the excitation in Sec. II E. While the excitation decays to zero in the long-time limit, it is clear from Eq. (14) that if there is appreciable initial excitation of a subradiant state with υn...

  2. [2]

    It is easy to show numerically that the scaling with the total atom number N satisfies υP/γ≈ N−3, as, e.g., for the most subradiant mode in 1D atomic chains [32, 48]

    This linewidth depends strongly on the lattice size. It is easy to show numerically that the scaling with the total atom number N satisfies υP/γ≈ N−3, as, e.g., for the most subradiant mode in 1D atomic chains [32, 48]. The uni- form modes at q = 0 are not protected by momentum conservation; in the limit of an infinite array the uniform in-plane eigenmode o...

  3. [3]

    Time evolution For a 31× 31 square lattice with a lattice spacing of d = 0.75λ and ∆ = 0, the uniform mode PP is very sub- radiant, with a linewidth (5×10−4)γ, as shown in Fig. 2. To target this mode, we start from an initial excitation which hasP (j) x = 1/3 on the central nine atoms and 0 on all other atoms. The resulting time dynamics are shown in Fig....

  4. [4]

    Near-resonance light scattering from a high-density ultracold atomic 87Rb gas,

    S. Balik, A. L. Win, M. D. Havey, I. M. Sokolov, and D. V. Kupriyanov, “Near-resonance light scattering from a high-density ultracold atomic 87Rb gas,” Phys. Rev. A 87, 053817 (2013)

    2013

  5. [5]

    Coherent and incoherent multiple scat- tering,

    Julien Chab´ e, Mohamed-Taha Rouabah, Louis Bellando, Tom Bienaim´ e, Nicola Piovella, Romain Bachelard, and Robin Kaiser, “Coherent and incoherent multiple scat- tering,” Phys. Rev. A 89, 043833 (2014)

    2014

  6. [6]

    Observation of suppression of light scattering induced by dipole-dipole interactions in a cold-atom ensemble,

    J. Pellegrino, R. Bourgain, S. Jennewein, Y. R. P. Sor- tais, A. Browaeys, S. D. Jenkins, and J. Ruostekoski, “Observation of suppression of light scattering induced by dipole-dipole interactions in a cold-atom ensemble,” Phys. Rev. Lett. 113, 133602 (2014)

    2014

  7. [7]

    Light scattering on the F = 1 → F′ = 0 transition in a cold and high density 87Rb vapor,

    A.S. Sheremet, I.M. Sokolov, D.V. Kupriyanov, S. Balik, A.L. Win, and M.D. Havey, “Light scattering on the F = 1 → F′ = 0 transition in a cold and high density 87Rb vapor,” Journal of Modern Optics61, 77–84 (2014)

    2014

  8. [8]

    Cooperative emis- sion of a coherent superflash of light,

    C. C. Kwong, T. Yang, M. S. Pramod, K. Pandey, D. De- lande, R. Pierrat, and D. Wilkowski, “Cooperative emis- sion of a coherent superflash of light,” Phys. Rev. Lett. 113, 223601 (2014)

    2014

Show all 88 references
  1. [9]

    Coherent scattering of near-resonant light by a dense microscopic cold atomic cloud,

    S. Jennewein, M. Besbes, N. J. Schilder, S. D. Jenkins, C. Sauvan, J. Ruostekoski, J.-J. Greffet, Y. R. P. Sortais, and A. Browaeys, “Coherent scattering of near-resonant light by a dense microscopic cold atomic cloud,” Phys. Rev. Lett. 116, 233601 (2016)

    2016

  2. [10]

    Cooperative emission of a pulse train in an optically thick scattering medium,

    C. C. Kwong, T. Yang, D. Delande, R. Pierrat, and D. Wilkowski, “Cooperative emission of a pulse train in an optically thick scattering medium,” Phys. Rev. Lett. 115, 223601 (2015)

    2015

  3. [11]

    Collective atomic scattering and motional effects in a dense coher- ent medium,

    S. L. Bromley, B. Zhu, M. Bishof, X. Zhang, T. Both- well, J. Schachenmayer, T. L. Nicholson, R. Kaiser, S. F. Yelin, M. D. Lukin, A. M. Rey, and J. Ye, “Collective atomic scattering and motional effects in a dense coher- ent medium,” Nat Commun 7, 11039 (2016)

    2016

  4. [12]

    Optical resonance shifts in the fluorescence of thermal and cold atomic gases,

    S. D. Jenkins, J. Ruostekoski, J. Javanainen, R. Bour- gain, S. Jennewein, Y. R. P. Sortais, and A. Browaeys, “Optical resonance shifts in the fluorescence of thermal and cold atomic gases,” Phys. Rev. Lett. 116, 183601 (2016)

    2016

  5. [13]

    Quantum enhancement of the index of refraction in a Bose-Einstein condensate,

    P. C. Bons, R. de Haas, D. de Jong, A. Groot, and P. van der Straten, “Quantum enhancement of the index of refraction in a Bose-Einstein condensate,” Phys. Rev. Lett. 116, 173602 (2016)

    2016

  6. [14]

    Subradiance in a large cloud of cold atoms,

    William Guerin, Michelle O. Ara´ ujo, and Robin Kaiser, “Subradiance in a large cloud of cold atoms,” Phys. Rev. Lett. 116, 083601 (2016)

    2016

  7. [15]

    Col- lective suppression of optical hyperfine pumping in dense clouds of atoms in microtraps,

    Shimon Machluf, Julian B. Naber, Maarten L. Soudijn, Janne Ruostekoski, and Robert J. C. Spreeuw, “Col- lective suppression of optical hyperfine pumping in dense clouds of atoms in microtraps,” Phys. Rev. A100, 051801 (2019)

    2019

  8. [16]

    Transmission of near-resonant light through a dense slab of cold atoms,

    L. Corman, J. L. Ville, R. Saint-Jalm, M. Aidels- burger, T. Bienaim´ e, S. Nascimb` ene, J. Dalibard, and J. Beugnon, “Transmission of near-resonant light through a dense slab of cold atoms,” Phys. Rev. A 96, 053629 (2017)

    2017

  9. [17]

    Collective mode interferences in light-matter interactions,

    R. J. Bettles, T. Ilieva, H. Busche, P. Huillery, S. W. Ball, N. L. R. Spong, and C. S. Adams, “Collective mode interferences in light-matter interactions,” (2018), arXiv:1808.08415

    2018 arXiv

  10. [18]

    Re- fractive index of a dilute bose gas,

    Olivier Morice, Yvan Castin, and Jean Dalibard, “Re- fractive index of a dilute bose gas,” Phys. Rev. A 51, 3896–3901 (1995)

    1995

  11. [19]

    Quantum field theory of cooperative atom response: Low light inten- sity,

    Janne Ruostekoski and Juha Javanainen, “Quantum field theory of cooperative atom response: Low light inten- sity,” Phys. Rev. A 55, 513–526 (1997)

    1997

  12. [20]

    Shifts of a resonance line in a dense atomic sample,

    Juha Javanainen, Janne Ruostekoski, Yi Li, and Sung- Mi Yoo, “Shifts of a resonance line in a dense atomic sample,” Phys. Rev. Lett. 112, 113603 (2014)

    2014

  13. [21]

    Light propa- gation beyond the mean-field theory of standard optics,

    Juha Javanainen and Janne Ruostekoski, “Light propa- gation beyond the mean-field theory of standard optics,” Opt. Express 24, 993–1001 (2016)

    2016

  14. [22]

    Resonant metalenses for breaking the diffraction barrier,

    Fabrice Lemoult, Geoffroy Lerosey, Julien de Rosny, and Mathias Fink, “Resonant metalenses for breaking the diffraction barrier,” Phys. Rev. Lett. 104, 203901 (2010)

    2010

  15. [23]

    Spec- tral Collapse in Ensembles of Metamolecules,

    Vassili A. Fedotov, N. Papasimakis, E. Plum, A. Bitzer, M. Walther, P. Kuo, D P Tsai, and N I Zheludev, “Spec- tral Collapse in Ensembles of Metamolecules,” Phys. Rev. Lett. 104, 223901 (2010)

    2010

  16. [24]

    Controlled manipulation of light by cooperative response of atoms in an optical lattice,

    Stewart D. Jenkins and Janne Ruostekoski, “Controlled manipulation of light by cooperative response of atoms in an optical lattice,” Phys. Rev. A 86, 031602(R) (2012)

    2012

  17. [25]

    Photonic band struc- ture of two-dimensional atomic lattices,

    J. Perczel, J. Borregaard, D. E. Chang, H. Pichler, S. F. Yelin, P. Zoller, and M. D. Lukin, “Photonic band struc- ture of two-dimensional atomic lattices,” Phys. Rev. A 96, 063801 (2017)

    2017

  18. [26]

    Topological properties of a dense atomic lat- tice gas,

    R. J. Bettles, J. Min´ aˇ r, C. S. Adams, I. Lesanovsky, and B. Olmos, “Topological properties of a dense atomic lat- tice gas,” Phys. Rev. A 96, 041603 (2017)

    2017

  19. [27]

    Metamate- rial transparency induced by cooperative electromagnetic interactions,

    Stewart D. Jenkins and Janne Ruostekoski, “Metamate- rial transparency induced by cooperative electromagnetic interactions,” Phys. Rev. Lett. 111, 147401 (2013)

    2013

  20. [28]

    Cooperative ordering in lattices of interacting two-level dipoles,

    Robert J. Bettles, S. A. Gardiner, and Charles S. Adams, “Cooperative ordering in lattices of interacting two-level dipoles,” Phys. Rev. A 92, 063822 (2015)

    2015

  21. [29]

    Enhanced Optical Cross Section via Collective Coupling of Atomic Dipoles in a 2D Array,

    Robert J. Bettles, S. A. Gardiner, and Charles S. Adams, “Enhanced Optical Cross Section via Collective Coupling of Atomic Dipoles in a 2D Array,” Phys. Rev. Lett. 116, 103602 (2016)

    2016

  22. [30]

    Stor- ing light with subradiant correlations in arrays of atoms,

    G. Facchinetti, S. D. Jenkins, and J. Ruostekoski, “Stor- ing light with subradiant correlations in arrays of atoms,” Phys. Rev. Lett. 117, 243601 (2016)

    2016

  23. [31]

    All-dielectric metasurface ana- logue of electromagnetically induced transparency,

    Yuanmu Yang, Ivan I. Kravchenko, Dayrl P. Briggs, 11 and Jason Valentine, “All-dielectric metasurface ana- logue of electromagnetically induced transparency,” Na- ture Comms. 5, 5753 (2014)

    2014

  24. [32]

    Interaction of light with planar lattices of atoms: Reflection, transmis- sion, and cooperative magnetometry,

    G. Facchinetti and J. Ruostekoski, “Interaction of light with planar lattices of atoms: Reflection, transmis- sion, and cooperative magnetometry,” Phys. Rev. A 97, 023833 (2018)

    2018

  25. [33]

    Cooperative resonances in light scattering from two-dimensional atomic arrays,

    Ephraim Shahmoon, Dominik S. Wild, Mikhail D. Lukin, and Susanne F. Yelin, “Cooperative resonances in light scattering from two-dimensional atomic arrays,” Phys. Rev. Lett. 118, 113601 (2017)

    2017

  26. [34]

    Cavity Antiresonance Spec- troscopy of Dipole Coupled Subradiant Arrays,

    David Plankensteiner, Christian Sommer, Helmut Ritsch, and Claudiu Genes, “Cavity Antiresonance Spec- troscopy of Dipole Coupled Subradiant Arrays,” Phys. Rev. Lett. 119, 093601 (2017)

    2017

  27. [35]

    Exponential Improve- ment in Photon Storage Fidelities Using Subradiance and Selective Radiance in Atomic Arrays,

    Ana Asenjo-Garcia, M. Moreno-Cardoner, A. Albrecht, H. J. Kimble, and D. E. Chang, “Exponential Improve- ment in Photon Storage Fidelities Using Subradiance and Selective Radiance in Atomic Arrays,” Phys. Rev. X 7, 031024 (2017)

    2017

  28. [36]

    Phase-imprinted multiphoton subradiant states,

    H. H. Jen, “Phase-imprinted multiphoton subradiant states,” Phys. Rev. A 96, 023814 (2017)

    2017

  29. [37]

    Subradiant bell states in distant atomic arrays,

    P.-O. Guimond, A. Grankin, D. V. Vasilyev, B. Verm- ersch, and P. Zoller, “Subradiant bell states in distant atomic arrays,” Phys. Rev. Lett. 122, 093601 (2019)

    2019

  30. [38]

    Subradiance via entanglement in atoms with several independent decay channels,

    Martin Hebenstreit, Barbara Kraus, Laurin Ostermann, and Helmut Ritsch, “Subradiance via entanglement in atoms with several independent decay channels,” Phys. Rev. Lett. 118, 143602 (2017)

    2017

  31. [39]

    Free-space photonic quantum link and chiral quantum optics,

    A. Grankin, P. O. Guimond, D. V. Vasilyev, B. Vermer- sch, and P. Zoller, “Free-space photonic quantum link and chiral quantum optics,” Phys. Rev. A 98, 043825 (2018)

    2018

  32. [40]

    Long-range interacting many-body sys- tems with alkaline-earth-metal atoms,

    B. Olmos, D. Yu, Y. Singh, F. Schreck, K. Bongs, and I. Lesanovsky, “Long-range interacting many-body sys- tems with alkaline-earth-metal atoms,” Phys. Rev. Lett. 110, 143602 (2013)

    2013

  33. [41]

    Optimized geometries for future generation op- tical lattice clocks,

    Sebastian Kr¨ amer, Laurin Ostermann, and Helmut Ritsch, “Optimized geometries for future generation op- tical lattice clocks,” Europhys. Lett. 114, 14003 (2016)

    2016

  34. [42]

    Collective dipole- dipole interactions in an atomic array,

    R. T. Sutherland and F. Robicheaux, “Collective dipole- dipole interactions in an atomic array,” Phys. Rev. A94, 013847 (2016)

    2016

  35. [43]

    Cooperative optical response of 2D dense lattices with strongly correlated dipoles,

    Sung-Mi Yoo and Sun Mok Paik, “Cooperative optical response of 2D dense lattices with strongly correlated dipoles,” Opt. Express 24, 2156 (2016)

    2016

  36. [44]

    Design of metasurface polarizers based on two-dimensional cold atomic arrays,

    B X Wang, C Y Zhao, Y H Kan, and T C Huang, “Design of metasurface polarizers based on two-dimensional cold atomic arrays,” Opt. Express 25, 18760 (2017)

    2017

  37. [45]

    Many- body subradiant excitations in metamaterial arrays: Ex- periment and theory,

    Stewart D. Jenkins, Janne Ruostekoski, Nikitas Papasi- makis, Salvatore Savo, and Nikolay I. Zheludev, “Many- body subradiant excitations in metamaterial arrays: Ex- periment and theory,” Phys. Rev. Lett. 119, 053901 (2017)

    2017

  38. [46]

    Strongly coupled cold atoms in bilayer dense lattices,

    Sung-Mi Yoo, “Strongly coupled cold atoms in bilayer dense lattices,” New Journal of Physics 20, 083012 (2018)

    2018

  39. [47]

    Interaction- induced photon blockade using an atomically thin mirror embedded in a microcavity,

    Sina Zeytinoˇ glu and Atac ˙Imamoˇ glu, “Interaction- induced photon blockade using an atomically thin mirror embedded in a microcavity,” Phys. Rev. A98, 051801(R) (2018)

    2018

  40. [48]

    Optimiza- tion of photon storage fidelity in ordered atomic arrays,

    M T Manzoni, M Moreno-Cardoner, A Asenjo-Garcia, J V Porto, A V Gorshkov, and D E Chang, “Optimiza- tion of photon storage fidelity in ordered atomic arrays,” New Journal of Physics 20, 083048 (2018)

    2018

  41. [49]

    Lasing and Amplification from Two-Dimensional Atom Arrays,

    Vahagn Mkhitaryan, Lijun Meng, Andrea Marini, and F. Javier Garc´ ıa de Abajo, “Lasing and Amplification from Two-Dimensional Atom Arrays,” Phys. Rev. Lett. 121, 163602 (2018)

    2018

  42. [50]

    Coopera- tive light scattering from helical-phase-imprinted atomic rings,

    H. H. Jen, M. S. Chang, and Y. C. Chen, “Coopera- tive light scattering from helical-phase-imprinted atomic rings,” Scientific Reports 8, 9570 (2018)

    2018

  43. [51]

    Theory of subra- diant states of a one-dimensional two-level atom chain,

    Yu-Xiang Zhang and Klaus Mølmer, “Theory of subra- diant states of a one-dimensional two-level atom chain,” Phys. Rev. Lett. 122, 203605 (2019)

    2019

  44. [52]

    Critical open-system dynamics in a one-dimensional optical-lattice clock,

    Lo¨ ıc Henriet, James S. Douglas, Darrick E. Chang, and Andreas Albrecht, “Critical open-system dynamics in a one-dimensional optical-lattice clock,” Phys. Rev. A 99, 023802 (2019)

    2019

  45. [53]

    Phases of driven two- level systems with nonlocal dissipation,

    C. D. Parmee and N. R. Cooper, “Phases of driven two- level systems with nonlocal dissipation,” Phys. Rev. A 97, 053616 (2018)

    2018

  46. [54]

    Enhanced collective purcell effect of coupled quantum emitter systems,

    D. Plankensteiner, C. Sommer, M. Reitz, H. Ritsch, and C. Genes, “Enhanced collective purcell effect of coupled quantum emitter systems,” Phys. Rev. A 99, 043843 (2019)

    2019

  47. [55]

    Light propa- gation in systems involving two-dimensional atomic lat- tices,

    Juha Javanainen and Renuka Rajapakse, “Light propa- gation in systems involving two-dimensional atomic lat- tices,” Phys. Rev. A 100, 013616 (2019)

    2019

  48. [56]

    Map- ping photonic entanglement into and out of a quantum memory,

    K. S. Choi, H. Deng, J. Laurat, and H. J. Kimble, “Map- ping photonic entanglement into and out of a quantum memory,” Nature 452, 67 (2008)

    2008

  49. [57]

    Colloquium: Quantum net- works with trapped ions,

    L.-M. Duan and C. Monroe, “Colloquium: Quantum net- works with trapped ions,” Rev. Mod. Phys. 82, 1209– 1224 (2010)

    2010

  50. [58]

    Freely scalable quantum technologies using cells of 5-to-50 qubits with very lossy and noisy photonic links,

    Naomi H. Nickerson, Joseph F. Fitzsimons, and Si- mon C. Benjamin, “Freely scalable quantum technologies using cells of 5-to-50 qubits with very lossy and noisy photonic links,” Phys. Rev. X 4, 041041 (2014)

    2014

  51. [59]

    Large-scale modu- lar quantum-computer architecture with atomic memory and photonic interconnects,

    C. Monroe, R. Raussendorf, A. Ruthven, K. R. Brown, P. Maunz, L.-M. Duan, and J. Kim, “Large-scale modu- lar quantum-computer architecture with atomic memory and photonic interconnects,” Phys. Rev. A 89, 022317 (2014)

    2014

  52. [60]

    Coherence in spontaneous radiation pro- cesses,

    R. H. Dicke, “Coherence in spontaneous radiation pro- cesses,” Phys. Rev. 93, 99–110 (1954)

    1954

  53. [61]

    Observation of su- perradiant and subradiant spontaneous emission of two trapped ions,

    R. G. DeVoe and R. G. Brewer, “Observation of su- perradiant and subradiant spontaneous emission of two trapped ions,” Phys. Rev. Lett. 76, 2049–2052 (1996)

    1996

  54. [62]

    Nanometer resolution and coherent optical dipole coupling of two individual molecules,

    C. Hettich, C. Schmitt, J. Zitzmann, S. K¨ ohn, I. Ger- hardt, and V. Sandoghdar, “Nanometer resolution and coherent optical dipole coupling of two individual molecules,” Science 298, 385–389 (2002)

    2002

  55. [63]

    Precise study of asymptotic physics with subradiant ultracold molecules,

    B. H. McGuyer, M. McDonald, G. Z. Iwata, M. G. Tarallo, W. Skomorowski, R. Moszynski, and T. Zelevin- sky, “Precise study of asymptotic physics with subradiant ultracold molecules,” Nat. Phys. 11, 32–36 (2015)

    2015

  56. [64]

    Controlled production of subradiant states of a diatomic molecule in an optical lattice,

    Yosuke Takasu, Yutaka Saito, Yoshiro Takahashi, Ma- teusz Borkowski, Roman Ciury lo, and Paul S. Julienne, “Controlled production of subradiant states of a diatomic molecule in an optical lattice,” Phys. Rev. Lett. 108, 173002 (2012)

    2012

  57. [65]

    Mechanisms of fano resonances in coupled plasmonic systems,

    Andrea Lovera, Benjamin Gallinet, Peter Nordlander, and Olivier J.F. Martin, “Mechanisms of fano resonances in coupled plasmonic systems,” ACS Nano 7, 4527–4536 (2013)

    2013

  58. [66]

    Signature of a Fano Resonance in a Plasmonic Metamolecule’s Local Density of Optical States,

    Martin Frimmer, Toon Coenen, and A. Femius Koen- 12 derink, “Signature of a Fano Resonance in a Plasmonic Metamolecule’s Local Density of Optical States,” Phys. Rev. Lett. 108, 077404 (2012)

    2012

  59. [67]

    Energy trans- port in metal nanoparticle chains via sub-radiant plas- mon modes,

    Britain Willingham and Stephan Link, “Energy trans- port in metal nanoparticle chains via sub-radiant plas- mon modes,” Opt. Express 19, 6450–6461 (2011)

    2011

  60. [68]

    Non-hermitian hamiltonian approach to quan- tum transport in disordered networks with sinks: Valid- ity and effectiveness,

    Giulio G. Giusteri, Francesco Mattiotti, and G. Luca Celardo, “Non-hermitian hamiltonian approach to quan- tum transport in disordered networks with sinks: Valid- ity and effectiveness,” Phys. Rev. B 91, 094301 (2015)

    2015

  61. [69]

    Thermally ac- tivated nonlocal amplification in quantum energy trans- port,

    B. Leggio, R. Messina, and M. Antezza, “Thermally ac- tivated nonlocal amplification in quantum energy trans- port,” EPL (Europhysics Letters) 110, 40002 (2015)

    2015

  62. [70]

    Excitation injector in an atomic chain: Long-range transport and efficiency amplification,

    Pierre Doyeux, Riccardo Messina, Bruno Leggio, and Mauro Antezza, “Excitation injector in an atomic chain: Long-range transport and efficiency amplification,” Phys. Rev. A 95, 012138 (2017)

    2017

  63. [71]

    Selective transport of atomic excitations in a driven chiral-coupled atomic chain,

    H H Jen, “Selective transport of atomic excitations in a driven chiral-coupled atomic chain,” Journal of Physics B: Atomic, Molecular and Optical Physics 52, 065502 (2019)

    2019

  64. [72]

    Subradiance-enhanced excitation transfer be- tween dipole-coupled nanorings of quantum emitters,

    Maria Moreno-Cardoner, David Plankensteiner, Lau- rin Ostermann, Darrick E. Chang, and Helmut Ritsch, “Subradiance-enhanced excitation transfer be- tween dipole-coupled nanorings of quantum emitters,” Phys. Rev. A 100, 023806 (2019)

    2019

  65. [73]

    Subradiance-protected excitation transport,

    Jemma A Needham, Igor Lesanovsky, and Beatriz Ol- mos, “Subradiance-protected excitation transport,” New Journal of Physics 21, 073061 (2019)

    2019

  66. [74]

    Electron-beam-driven collective-mode metamaterial light source,

    G. Adamo, J. Y. Ou, J. K. So, S. D. Jenkins, F. De Ange- lis, K. F. MacDonald, E. Di Fabrizio, J. Ruostekoski, and N. I. Zheludev, “Electron-beam-driven collective-mode metamaterial light source,” Phys. Rev. Lett.109, 217401 (2012)

    2012

  67. [75]

    Radiation from an n-atom system. i. general formalism,

    R. H. Lehmberg, “Radiation from an n-atom system. i. general formalism,” Phys. Rev. A 2, 883–888 (1970)

    1970

  68. [76]

    (Wiley, New York, 1999)

    John David Jackson, Classical Electrodynamics, 3rd ed. (Wiley, New York, 1999)

    1999

  69. [77]

    Stochastic methods for light propagation and recurrent scattering in saturated and nonsaturated atomic ensembles,

    Mark D. Lee, Stewart D. Jenkins, and Janne Ru- ostekoski, “Stochastic methods for light propagation and recurrent scattering in saturated and nonsaturated atomic ensembles,” Phys. Rev. A 93, 063803 (2016)

    2016

  70. [78]

    Lorentz- Lorenz shift in a Bose-Einstein condensate,

    Janne Ruostekoski and Juha Javanainen, “Lorentz- Lorenz shift in a Bose-Einstein condensate,” Phys. Rev. A 56, 2056–2059 (1997)

    1997

  71. [79]

    Resonant control of spin dy- namics in ultracold quantum gases by microwave dress- ing,

    Fabrice Gerbier, Artur Widera, Simon F¨ olling, Olaf Man- del, and Immanuel Bloch, “Resonant control of spin dy- namics in ultracold quantum gases by microwave dress- ing,” Phys. Rev. A 73, 041602(R) (2006)

    2006

  72. [80]

    Cooperative spontaneous emission of n atoms: Many-body eigenstates, the effect of virtual Lamb shift processes, and analogy with radiation of n classical oscil- lators,

    Anatoly A. Svidzinsky, Jun-Tao Chang, and Marlan O. Scully, “Cooperative spontaneous emission of n atoms: Many-body eigenstates, the effect of virtual Lamb shift processes, and analogy with radiation of n classical oscil- lators,” Phys. Rev. A 81, 053821 (2010)

    2010

  73. [81]

    Deterministic free- space source of single photons using rydberg atoms,

    David Petrosyan and Klaus Mølmer, “Deterministic free- space source of single photons using rydberg atoms,” Phys. Rev. Lett. 121, 123605 (2018)

    2018

  74. [82]

    Controlled collisions for multi-particle entanglement of optically trapped atoms,

    Olaf Mandel, Markus Greiner, Artur Widera, Tim Rom, Theodor W. H¨ ansch, and Immanuel Bloch, “Controlled collisions for multi-particle entanglement of optically trapped atoms,” Nature 425, 937–940 (2003)

    2003

  75. [83]

    Collective resonance fluorescence in small and dense atom clouds: Comparison between theory and experiment,

    S. D. Jenkins, J. Ruostekoski, J. Javanainen, S. Jen- newein, R. Bourgain, J. Pellegrino, Y. R. P. Sortais, and A. Browaeys, “Collective resonance fluorescence in small and dense atom clouds: Comparison between theory and experiment,” Phys. Rev. A 94, 023842 (2016)

    2016

  76. [84]

    Electromagnetically induced transparency: Optics in coherent media,

    Michael Fleischhauer, Atac Imamoglu, and Jonathan P. Marangos, “Electromagnetically induced transparency: Optics in coherent media,” Rev. Mod. Phys. 77, 633–673 (2005)

    2005

  77. [85]

    Ob- servation of coherent optical information storage in and atomic medium using halted light pulses,

    C. Liu, Z. Dutton, C. H. Behroozi, and L. H. Hau, “Ob- servation of coherent optical information storage in and atomic medium using halted light pulses,” Nature 409, 490 (2001)

    2001

  78. [86]

    Storing and processing optical information with ultraslow light in Bose-Einstein condensates,

    Zachary Dutton and Lene Vestergaard Hau, “Storing and processing optical information with ultraslow light in Bose-Einstein condensates,” Phys. Rev. A 70, 053831 (2004)

    2004

  79. [87]

    One-dimensional mod- eling of light propagation in dense and degenerate sam- ples,

    Juha Javanainen, Janne Ruostekoski, Bjarne Vester- gaard, and Matthew R. Francis, “One-dimensional mod- eling of light propagation in dense and degenerate sam- ples,” Phys. Rev. A 59, 649–666 (1999)

    1999

  80. [88]

    Quantum information transfer using photons,

    T. E. Northup and R. Blatt, “Quantum information transfer using photons,” Nature Photonics 8, 356–363 (2014), review Article

    2014

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