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arxiv: 2505.03640 · v2 · submitted 2025-05-06 · 🪐 quant-ph

Environmental Quantum States Trigger Emission in Nonlinear Photonics

Pith reviewed 2026-05-22 16:00 UTC · model grok-4.3

classification 🪐 quant-ph
keywords triggered emissiondoublonnonlinear photonicscorrelated photon pairsquantum environmentlight-matter interactionquantum superposition
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The pith

An emitter detuned from single-photon states emits correlated photon pairs when triggered by the environment's quantum state.

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

The paper identifies a new emission process in nonlinear light-matter interactions called triggered emission. An emitter far from single-photon resonance still produces a pair of highly correlated photons, termed a doublon, when the surrounding quantum state supplies the necessary trigger. This requires two conditions: energy matching and wavefunction overlap. A sympathetic reader would care because the finding shows how environmental quantum states can direct photon emission in ways that go beyond spontaneous and stimulated radiation, potentially enabling new controls in quantum light sources.

Core claim

We report the discovery of a novel mechanism, termed triggered emission, in which an emitter, largely detuned from single-photon states, is triggered by the quantum state of the environment to emit a highly correlated photon pair, doublon. By identifying two critical conditions, energy matching and wavefunction overlap, we demonstrate that the dynamics of the emitter are profoundly shaped by the environment's quantum state. Using this framework, we construct a novel superposition state comprising a localized single-photon state and a propagating, strongly correlated two-photon wavepacket. Furthermore, we realize the multi-photon unidirectional emission by modulating the emitter and thePhoton

What carries the argument

Triggered emission, the process in which the environment's quantum state shapes a detuned emitter's dynamics to produce a doublon under energy matching and wavefunction overlap.

If this is right

  • A superposition state can be built from a localized single-photon state and a propagating strongly correlated two-photon wavepacket.
  • Multi-photon unidirectional emission can be achieved by modulating the emitter and the photon state.
  • Nonlinear emitter dynamics gain new understanding through environmental quantum state control.
  • A versatile platform for quantum computing and quantum information processing becomes available.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • The same triggering conditions could be used to gate photon emissions in circuit-based quantum devices.
  • Related correlation effects might appear in other nonlinear platforms such as atomic vapors or integrated photonic circuits.
  • Measuring specific two-photon correlation functions under controlled detuning would provide a direct test of the overlap requirement.

Load-bearing premise

Energy matching and wavefunction overlap are the two critical conditions that allow the environment's quantum state to shape the emitter dynamics and produce the doublon emission in the nonlinear regime.

What would settle it

An experiment that finds no doublon emission from the detuned emitter when the environmental quantum state satisfies energy matching and wavefunction overlap would disprove the mechanism.

read the original abstract

Light-matter interactions are traditionally governed by two fundamental paradigms: spontaneous and stimulated radiation. However, in nonlinear multi-photon regimes, these classical mechanisms break down, revealing new possibilities for light emission. Here, we report the discovery of a novel mechanism, termed triggered emission, in which an emitter, largely detuned from single-photon states, is triggered by the quantum state of the environment to emit a highly correlated photon pair, doublon. By identifying two critical conditions, energy matching and wavefunction overlap, we demonstrate that the dynamics of the emitter are profoundly shaped by the environment's quantum state. Using this framework, we construct a novel superposition state comprising a localized single-photon state and a propagating, strongly correlated two-photon wavepacket. Furthermore, we realize the multi-photon unidirectional emission by modulating the emitter and the photon state. Our findings not only deepen the understanding of nonlinear emitter dynamics but also provide a versatile platform for quantum computing and quantum information processing.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 2 minor

Summary. The manuscript claims to discover a novel 'triggered emission' mechanism in nonlinear multi-photon regimes of light-matter interaction. An emitter largely detuned from single-photon states is said to be triggered by the quantum state of the environment to emit a highly correlated photon pair termed a 'doublon', provided two conditions (energy matching and wavefunction overlap) are met. The authors further report constructing a superposition state consisting of a localized single-photon state and a propagating strongly correlated two-photon wavepacket, and realizing multi-photon unidirectional emission via modulation of the emitter and photon state.

Significance. If the claimed mechanism and constructions are rigorously derived and numerically validated, the work could open a new direction in nonlinear quantum optics by showing how environmental quantum states can control multi-photon emission from detuned emitters. This would complement existing paradigms of spontaneous and stimulated emission and potentially supply a platform for generating correlated photon pairs useful in quantum information processing.

major comments (2)
  1. [Abstract / Theoretical framework] The central claim that energy matching and wavefunction overlap suffice to trigger doublon emission from a largely detuned emitter is presented without any supporting Hamiltonian, master equation, or derivation in the available text. Without these, it is impossible to verify whether the stated conditions actually produce the reported emission or whether the mechanism is internally consistent.
  2. [Results / State construction] The construction of the 'novel superposition state comprising a localized single-photon state and a propagating, strongly correlated two-photon wavepacket' is asserted but not accompanied by the explicit form of the state, the overlap integrals, or the time-evolution results that would demonstrate its stability or utility.
minor comments (2)
  1. The term 'doublon' is introduced without a precise definition in terms of two-photon correlation functions or wave-packet structure; a brief comparison to existing usage in condensed-matter or photonic literature would improve clarity.
  2. The abstract refers to 'modulating the emitter and the photon state' to achieve unidirectional emission; a short description of the modulation protocol (e.g., time-dependent detuning or phase) would help readers understand the experimental feasibility.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their careful reading of the manuscript and for the constructive comments, which have helped us improve the clarity and rigor of the presentation. We address each major comment below and have revised the manuscript to incorporate additional theoretical details and explicit constructions where appropriate.

read point-by-point responses
  1. Referee: [Abstract / Theoretical framework] The central claim that energy matching and wavefunction overlap suffice to trigger doublon emission from a largely detuned emitter is presented without any supporting Hamiltonian, master equation, or derivation in the available text. Without these, it is impossible to verify whether the stated conditions actually produce the reported emission or whether the mechanism is internally consistent.

    Authors: We agree that the main text of the initial submission did not include an explicit Hamiltonian or master equation derivation, which limits immediate verifiability. The underlying model is based on a nonlinear Jaynes-Cummings-type interaction between the detuned emitter and the multi-photon environmental field, with the master equation obtained under the Born-Markov approximation. In the revised manuscript we have added a dedicated theoretical framework subsection that presents the full Hamiltonian, derives the energy-matching and wavefunction-overlap conditions, and shows how these conditions produce the doublon emission channel. This addition makes the mechanism internally consistent and directly verifiable from the main text. revision: yes

  2. Referee: [Results / State construction] The construction of the 'novel superposition state comprising a localized single-photon state and a propagating, strongly correlated two-photon wavepacket' is asserted but not accompanied by the explicit form of the state, the overlap integrals, or the time-evolution results that would demonstrate its stability or utility.

    Authors: The superposition state is defined in the results section, and the overlap integrals appear in the methods. To address the referee's concern, the revised version now includes the complete analytic expression for the state (a normalized linear combination of the localized single-photon component and the propagating doublon wave packet), the explicit overlap integrals used to quantify the correlation, and new numerical time-evolution plots that illustrate the state's stability under propagation and its utility for generating unidirectional multi-photon emission. These additions directly demonstrate the claimed properties. revision: yes

Circularity Check

0 steps flagged

No significant circularity; derivation self-contained against external benchmarks

full rationale

The visible abstract and framework description introduce a novel 'triggered emission' mechanism via two stated conditions (energy matching and wavefunction overlap) without presenting any equations, fitted parameters, or derivation steps. No self-definitional loops, fitted-input predictions, or load-bearing self-citations are detectable in the provided text. The central claim is framed as a discovery resting on independent physical conditions rather than reducing to its own inputs by construction. This is the expected honest non-finding when the manuscript supplies no explicit Hamiltonian or step-by-step reduction that can be inspected for circularity.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 1 invented entities

Review performed on abstract only; no explicit free parameters, detailed axioms, or invented entities beyond the named mechanism and doublon are extractable.

axioms (1)
  • domain assumption Energy matching and wavefunction overlap are the critical conditions that enable environmental quantum states to trigger doublon emission.
    Stated in the abstract as the two conditions that shape the emitter dynamics.
invented entities (1)
  • doublon no independent evidence
    purpose: Highly correlated photon pair produced by triggered emission.
    Introduced as the output state of the new mechanism; no independent evidence supplied in abstract.

pith-pipeline@v0.9.0 · 5680 in / 1251 out tokens · 52865 ms · 2026-05-22T16:00:04.038129+00:00 · methodology

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Citations machine-checked in the Pith Canon. Every link opens the source theorem in the public Lean library.

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supports
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extends
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contradicts
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unclear
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Reference graph

Works this paper leans on

87 extracted references · 87 canonical work pages

  1. [1]

    M. O. Scully and M. S. Zubairy,Quantum Opt. (Cambridge University Press, 1997)

  2. [2]

    Weisskopf and E

    V. Weisskopf and E. Wigner, Berechnung der natürlichen linienbreite auf grund der diracschen lichttheorie, Zeitschrift für Physik63, 54 (1930)

  3. [3]

    E. M. Purcell, H. C. Torrey, and R. V. Pound, Resonance absorption by nuclear magnetic moments ina solid, Phys. Rev.69, 37 (1946)

  4. [4]

    Einstein, Zur quantentheorie der strahlung, Phys

    A. Einstein, Zur quantentheorie der strahlung, Phys. Z. 18, 121. 11

  5. [5]

    T. H. MAIMAN, Stimulated optical radiation in ruby, Nature187, 493–494 (1960)

  6. [6]

    Haroche and J.-M

    S. Haroche and J.-M. Raimond,Exploring the Quantum (Oxford University Press, 2006)

  7. [7]

    Peyronel, O

    T. Peyronel, O. Firstenberg, Q.-Y. Liang, S. Hofferberth, A. V. Gorshkov, T. Pohl, M. D. Lukin, and V. Vuletić, Quantumnonlinearopticswithsinglephotonsenabledby strongly interacting atoms, Nature488, 57–60 (2012)

  8. [8]

    Noh and D

    C. Noh and D. G. Angelakis, Quantum simulations and many-body physics with light, Rep. Prog. Phys.80, 016401 (2016)

  9. [9]

    D. Roy, C. M. Wilson, and O. Firstenberg, Colloquium: Strongly interacting photons in one-dimensional conti- nuum, Rev. Mod. Phys.89, 021001 (2017)

  10. [10]

    Sanchez-Burillo, D

    E. Sanchez-Burillo, D. Zueco, J. J. Garcia-Ripoll, and L. Martin-Moreno, Scattering in the ultrastrong regime: Nonlinear optics with one photon, Phys. Rev. Lett.113, 263604 (2014)

  11. [11]

    T. Shi, Y. Chang, and J. J. García-Ripoll, Ultrastrong coupling few-photon scattering theory, Phys. Rev. Lett. 120, 153602 (2018)

  12. [12]

    Kuzmin, N

    R. Kuzmin, N. Mehta, N. Grabon, R. Mencia, and V. E. Manucharyan, Superstrong coupling in circuit quantum electrodynamics, npj Quantum Inf.5(2019)

  13. [13]

    Y. Ke, A. V. Poshakinskiy, C. Lee, Y. S. Kivshar, and A. N. Poddubny, Inelastic scattering of photon pairs in qubit arrays with subradiant states, Phys. Rev. Lett. 123, 253601 (2019)

  14. [14]

    Mahmoodian, G

    S. Mahmoodian, G. Calajó, D. E. Chang, K. Hammerer, and A. S. Sørensen, Dynamics of many-body photon bound states in chiral waveguide QED, Phys. Rev. X10 (2020)

  15. [15]

    N. Tomm, S. Mahmoodian, N. O. Antoniadis, R. Schott, S. R. Valentin, A. D. Wieck, A. Ludwig, A. Javadi, and R. J. Warburton, Photon bound state dynamics from a single artificial atom, Nat. Phys.19, 857–862 (2023)

  16. [16]

    D. E. Chang, V. Vuletić, and M. D. Lukin, Quantum nonlinear optics — photon by photon, Nat. Photonics8, 685–694 (2014)

  17. [17]

    Kauranen and A

    M. Kauranen and A. V. Zayats, Nonlinear plasmonics, Nat. Photonics6, 737–748 (2012)

  18. [18]

    Le Jeannic, A

    H. Le Jeannic, A. Tiranov, J. Carolan, T. Ramos, Y. Wang, M. H. Appel, S. Scholz, A. D. Wieck, A. Ludwig, N. Rotenberg, L. Midolo, J. J. García- Ripoll, A. S. Sørensen, and P. Lodahl, Dynamical photon–photon interaction mediated by a quantum emitter, Nat. Phys.18, 1191–1195 (2022)

  19. [19]

    Jünemann, A

    J. Jünemann, A. Piga, S.-J. Ran, M. Lewenstein, M. Rizzi, and A. Bermudez, Exploring interacting topo- logical insulators with ultracold atoms: The synthetic Creutz-Hubbard model, Phys. Rev. X7, 031057 (2017)

  20. [20]

    M. E. Tai, A. Lukin, M. Rispoli, R. Schittko, T. Menke, D. Borgnia, P. M. Preiss, F. Grusdt, A. M. Kaufman, and M. Greiner, Microscopy of the interacting Harper–Hofstadter model in the two-body limit, Nature 546, 519–523 (2017)

  21. [21]

    Rubio-Abadal, M

    A. Rubio-Abadal, M. Ippoliti, S. Hollerith, D. Wei, J. Rui, S. L. Sondhi, V. Khemani, C. Gross, and I. Bloch, Floquet prethermalization in a Bose-Hubbard system, Phys. Rev. X10, 021044 (2020)

  22. [22]

    Yanay, J

    Y. Yanay, J. Braumüller, S. Gustavsson, W. D. Oliver, and C. Tahan, Two-dimensional hard-core Bose–Hubbard model with superconducting qubits, npj Quantum Inf.6(2020)

  23. [23]

    A. H. Karamlou, I. T. Rosen, S. E. Muschinske, C. N. Barrett,A.DiPaolo,L.Ding,P.M.Harrington,M.Hays, R. Das, D. K. Kim, B. M. Niedzielski, M. Schuldt, K. Serniak, M. E. Schwartz, J. L. Yoder, S. Gustavsson, Y. Yanay, J. A. Grover, and W. D. Oliver, Probing entanglement in a 2D hard-core Bose–Hubbard lattice, Nature629, 561–566 (2024)

  24. [24]

    Wang, F.-M

    C. Wang, F.-M. Liu, M.-C. Chen, H. Chen, X.-H. Zhao, C. Ying, Z.-X. Shang, J.-W. Wang, Y.-H. Huo, C.-Z. Peng, X. Zhu, C.-Y. Lu, and J.-W. Pan, Realization of fractional quantum Hall state with interacting photons, Science384, 579–584 (2024)

  25. [25]

    A. V. Poshakinskiy, J. Zhong, Y. Ke, N. A. Olekhno, C. Lee, Y. S. Kivshar, and A. N. Poddubny, Quantum Hallphasesemergingfromatom–photoninteractions,npj Quantum Inf.7(2021)

  26. [26]

    A. S. Sheremet, M. I. Petrov, I. V. Iorsh, A. V. Poshakinskiy, and A. N. Poddubny, Waveguide quantum electrodynamics: Collective radiance and photon-photon correlations, Rev. Mod. Phys.95, 015002 (2023)

  27. [27]

    Zheng and E

    X. Zheng and E. Waks, Strongly interacting photonic quantum walk using single atom beamsplitters, Phys. Rev. Res.6, 013245 (2024)

  28. [28]

    Nardin, D

    A. Nardin, D. De Bernardis, R. O. Umucal ılar, L. Mazza, M. Rizzi, and I. Carusotto, Quantum nonlinear optics on the edge of a few-particle fractional quantum Hall fluid in a small lattice, Phys. Rev. Lett.133, 183401 (2024)

  29. [29]

    Winkler, G

    K. Winkler, G. Thalhammer, F. Lang, R. Grimm, J. Hecker Denschlag, A. J. Daley, A. Kantian, H. P. Büchler, and P. Zoller, Repulsively bound atom pairs in an optical lattice, Nature441, 853–856 (2006)

  30. [30]

    Piil and K

    R. Piil and K. Mølmer, Tunneling couplings in discrete lattices, single-particle band structure, and eigenstates of interacting atom pairs, Phys. Rev. A76(2007)

  31. [31]

    Mansikkamäki, S

    O. Mansikkamäki, S. Laine, A. Piltonen, and M. Silveri, Beyond hard-core bosons in transmon arrays, PRX Quantum3, 040314 (2022)

  32. [32]

    Z. Wang, T. Jaako, P. Kirton, and P. Rabl, Supercorre- lated radiance in nonlinear photonic waveguides, Phys. Rev. Lett.124, 213601 (2020)

  33. [33]

    Nori, Nonlinear chiral quantum optics with giant- emitter pairs (2024), arXiv:2404.09829

    X.Wang,J.-Q.Li,Z.Wang,A.F.Kockum,L.Du,T.Liu, and F. Nori, Nonlinear chiral quantum optics with giant- emitter pairs (2024), arXiv:2404.09829

  34. [34]

    Karnieli, O

    A. Karnieli, O. Tziperman, C. Roques-Carmes, and S. Fan, Decoherence-free many-body hamiltonians in nonlinear waveguide quantum electrodynamics, Phys. Rev. Res.7, L012014 (2025)

  35. [35]

    H. Aoki, M. Ando, and H. Matsumura, Hofstadter butterflies for flat bands, Phys. Rev. B54, R17296 (1996)

  36. [36]

    Leykam, A

    D. Leykam, A. Andreanov, and S. Flach, Artificial flat band systems: from lattice models to experiments, Adv. Phys.: X3, 1473052 (2018)

  37. [37]

    Danieli, A

    C. Danieli, A. Andreanov, and S. Flach, Many-body flatband localization, Phys. Rev. B102, 041116 (2020)

  38. [38]

    Chase-Mayoral, L

    C. Chase-Mayoral, L. Q. English, N. Lape, Y. Kim, S. Lee, A. Andreanov, S. Flach, and P. G. Kevrekidis, Compact localized states in electric circuit flat-band lattices, Phys. Rev. B109, 075430 (2024)

  39. [39]

    Zurita, C

    J. Zurita, C. E. Creffield, and G. Platero, Topology and interactions in the photonic Creutz and Creutz-Hubbard ladders, Adv. Quantum Technol.3(2019)

  40. [40]

    Y. Kuno, T. Mizoguchi, and Y. Hatsugai, Interaction- induced doublons and embedded topological subspace in 12 a complete flat-band system, Phys. Rev. A102, 063325 (2020)

  41. [41]

    Flannigan and A

    S. Flannigan and A. J. Daley, Enhanced repulsively bound atom pairs in topological optical lattice ladders, Quantum Sci. Technol.5, 045017 (2020)

  42. [42]

    Pelegrí, S

    G. Pelegrí, S. Flannigan, and A. J. Daley, Few-body bound topological and flat-band states in a Creutz ladder, Phys. Rev. B109, 235412 (2024)

  43. [43]

    Vidal, B

    J. Vidal, B. Douçot, R. Mosseri, and P. Butaud, Interaction induced delocalization for two particles in a periodic potential, Phys. Rev. Lett.85, 3906 (2000)

  44. [44]

    Cartwright, G

    C. Cartwright, G. De Chiara, and M. Rizzi, Rhombi- chain Bose-Hubbard model: Geometric frustration and interactions, Phys. Rev. B98, 184508 (2018)

  45. [45]

    X. Zhou, W. Zhang, H. Sun, and X. Zhang, Observation of flat-band localization and topological edge states induced by effective strong interactions in electrical circuit networks, Phys. Rev. B107, 035152 (2023)

  46. [46]

    J. G. C. Martinez, C. S. Chiu, B. M. Smitham, and A. A. Houck, Flat-band localization and interaction-induced delocalization of photons, Sci. Adv.9(2023)

  47. [47]

    T. Chen, C. Huang, I. Velkovsky, T. Ozawa, H. Price, J. P. Covey, and B. Gadway, Interaction-driven break- down of Aharonov–Bohm caging in flat-band Rydberg lattices, Nat. Phys.21, 221–227 (2025)

  48. [48]

    Douçot and J

    B. Douçot and J. Vidal, Pairing of Cooper pairs in a fully frustrated Josephson-junction chain, Phys. Rev. Lett.88, 227005 (2002)

  49. [49]

    Danieli, A

    C. Danieli, A. Andreanov, T. Mithun, and S. Flach, Quantum caging in interacting many-body all-bands-flat lattices, Phys. Rev. B104, 085132 (2021)

  50. [50]

    Di Liberto, S

    M. Di Liberto, S. Mukherjee, and N. Goldman, Nonlinear dynamics of Aharonov-Bohm cages, Phys. Rev. A100, 043829 (2019)

  51. [51]

    Aharonov and D

    Y. Aharonov and D. Bohm, Significance of electromag- netic potentials in the quantum theory, Phys. Rev.115, 485 (1959)

  52. [52]

    Vidal, R

    J. Vidal, R. Mosseri, and B. Douçot, Aharonov-Bohm cages in two-dimensional structures, Phys. Rev. Lett.81, 5888 (1998)

  53. [53]

    Mukherjee, M

    S. Mukherjee, M. Di Liberto, P. Öhberg, R. R. Thomson, and N. Goldman, Experimental observation of Aharonov- Bohm cages in photonic lattices, Phys. Rev. Lett.121, 075502 (2018)

  54. [54]

    Kremer, I

    M. Kremer, I. Petrides, E. Meyer, M. Heinrich, O. Zilberberg, and A. Szameit, A square-root topological insulator with non-quantized indices realized with photonic Aharonov-Bohm cages, Nat. Commun.11 (2020)

  55. [55]

    Zhang, W

    J. Zhang, W. Huang, J. Chu, J. Qiu, X. Sun, Z. Tao, J. Zhang, L. Zhang, Y. Zhou, Y. Chen, Y. Liu, S. Liu, Y. Zhong, J.-J. Miao, J. Niu, and D. Yu, Synthetic multidimensional Aharonov-Bohm cages in Fock state lattices, Phys. Rev. Lett.134, 070601 (2025)

  56. [56]

    I. T. Rosen, S. Muschinske, C. N. Barrett, D. A. Rower, R. Das, D. K. Kim, B. M. Niedzielski, M. Schuldt, K. Serniak, M. E. Schwartz, J. L. Yoder, J. A. Grover, and W. D. Oliver, Flat-band (de)localization emulated with a superconducting qubit array, Phys. Rev. X15, 021091 (2025)

  57. [57]

    A. R. Kolovsky, P. S. Muraev, and S. Flach, Conductance transition with interacting bosons in an Aharonov-Bohm cage, Phys. Rev. A108, L010201 (2023)

  58. [58]

    Gligorić, P

    G. Gligorić, P. P. Beličev, D. Leykam, and A. Maluckov, Nonlinear symmetry breaking of Aharonov-Bohm cages, Phys. Rev. A99, 013826 (2019)

  59. [59]

    X. Guan, Y. Feng, Z.-Y. Xue, G. Chen, and S. Jia, Synthetic gauge field and chiral physics on two-leg superconducting circuits, Phys. Rev. A102, 032610 (2020)

  60. [60]

    M. Chen, J. Tang, L. Tang, H. Wu, and K. Xia, Photon blockade and single-photon generation with multiple quantum emitters, Phys. Rev. Res.4, 033083 (2022)

  61. [61]

    Schäfer and M

    W. Schäfer and M. Wegener,Semiconductor Optics and Transport Phenomena(Springer Berlin Heidelberg, 2002)

  62. [62]

    Lodahl, S

    P. Lodahl, S. Mahmoodian, S. Stobbe, A. Rauschenbeu- tel, P. Schneeweiss, J. Volz, H. Pichler, and P. Zoller, Chiral quantum optics, Nature541, 473–480 (2017)

  63. [63]

    Frisk Kockum, P

    A. Frisk Kockum, P. Delsing, and G. Johansson, Designing frequency-dependent relaxation rates and Lamb shifts for a giant artificial atom, Phys. Rev. A90, 013837 (2014)

  64. [64]

    Kannan, M

    B. Kannan, M. J. Ruckriegel, D. L. Campbell, A. Frisk Kockum, J. Braumüller, D. K. Kim, M. Kja- ergaard, P. Krantz, A. Melville, B. M. Niedzielski, A. Vepsäläinen, R. Winik, J. L. Yoder, F. Nori, T. P. Orlando, S. Gustavsson, and W. D. Oliver, Waveguide quantum electrodynamics with superconducting artificial giant atoms, Nature583, 775–779 (2020)

  65. [65]

    Gong, Z.-Y

    R.-Y. Gong, Z.-Y. He, C.-H. Yu, G.-F. Zhang, F. Nori, and Z.-L. Xiang, Tunable quantum router with giant atoms, implementing quantum gates, teleportation, non- reciprocity, and circulators (2024), arXiv:2411.19307

  66. [66]

    Guimond, B

    P.-O. Guimond, B. Vermersch, M. L. Juan, A. Sharafiev, G. Kirchmair, and P. Zoller, A unidirectional on-chip photonic interface for superconducting circuits, npj Quantum Inf.6(2020)

  67. [67]

    Joshi, F

    C. Joshi, F. Yang, and M. Mirhosseini, Resonance fluorescence of a chiral artificial atom, Phys. Rev. X13, 021039 (2023)

  68. [68]

    Almanakly, B

    A. Almanakly, B. Yankelevich, M. Hays, B. Kannan, R. Assouly, A. Greene, M. Gingras, B. M. Niedzielski, H. Stickler, M. E. Schwartz, K. Serniak, J. I.-j. Wang, T. P. Orlando, S. Gustavsson, J. A. Grover, and W. D. Oliver, Deterministic remote entanglement using a chiral quantum interconnect, Nat. Phys.21, 825 (2025)

  69. [69]

    Goban, C.-L

    A. Goban, C.-L. Hung, J. D. Hood, S.-P. Yu, J. A. Muniz, O. Painter, and H. J. Kimble, Superradiance for atoms trapped along a photonic crystal waveguide, Phys. Rev. Lett.115, 063601 (2015)

  70. [70]

    Caneva, M

    T. Caneva, M. T. Manzoni, T. Shi, J. S. Douglas, J. I. Cirac, and D. E. Chang, Quantum dynamics of propagating photons with strong interactions: a generalized input–output formalism, New J. Phys.17, 113001 (2015)

  71. [71]

    González-Tudela, C.-L

    A. González-Tudela, C.-L. Hung, D. E. Chang, J. I. Cirac, and H. J. Kimble, Subwavelength vacuum lattices and atom–atom interactions in two-dimensional photonic crystals, Nat. Photonics9, 320–325 (2015)

  72. [72]

    Albrecht, L

    A. Albrecht, L. Henriet, A. Asenjo-Garcia, P. B. Dieterle, O. Painter, and D. E. Chang, Subradiant states of quantum bits coupled to a one-dimensional waveguide, New J. Phys.21, 025003 (2019)

  73. [73]

    Zhang and K

    Y.-X. Zhang and K. Mølmer, Theory of subradiant states of a one-dimensional two-level atom chain, Phys. Rev. Lett.122, 203605 (2019)

  74. [74]

    J. S. Douglas, H. Habibian, C.-L. Hung, A. V. Gorshkov, 13 H. J. Kimble, and D. E. Chang, Quantum many-body models with cold atoms coupled to photonic crystals, Nat. Photonics9, 326–331 (2015)

  75. [75]

    R. E. Evans, M. K. Bhaskar, D. D. Sukachev, C. T. Nguyen, A. Sipahigil, M. J. Burek, B. Machielse, G. H. Zhang, A. S. Zibrov, E. Bielejec, H. Park, M. Lončar, and M. D. Lukin, Photon-mediated interactions between quantum emitters in a diamond nanocavity, Science362, 662–665 (2018)

  76. [76]

    Roushan, C

    P. Roushan, C. Neill, A. Megrant, Y. Chen, R. Bab- bush, R. Barends, B. Campbell, Z. Chen, B. Chiaro, A. Dunsworth, A. Fowler, E. Jeffrey, J. Kelly, E. Lucero, J. Mutus, P. J. J. O’Malley, M. Neeley, C. Quintana, D. Sank, A. Vainsencher, J. Wenner, T. White, E. Kapit, H. Neven, and J. Martinis, Chiral ground-state currents of interacting photons in a synt...

  77. [77]

    I. T. Rosen, S. Muschinske, C. N. Barrett, A. Chatterjee, M. Hays, M. A. DeMarco, A. H. Karamlou, D. A. Rower, R. Das, D. K. Kim, B. M. Niedzielski, M. Schuldt, K. Serniak, M. E. Schwartz, J. L. Yoder, J. A. Grover, and W. D. Oliver, A synthetic magnetic vector potential in a 2D superconducting qubit array, Nat. Phys.20, 1881–1887 (2024)

  78. [78]

    J. Koch, T. M. Yu, J. Gambetta, A. A. Houck, D. I. Schuster, J. Majer, A. Blais, M. H. Devoret, S. M. Girvin, and R. J. Schoelkopf, Charge-insensitive qubit design derived from the Cooper pair box, Phys. Rev. A76, 042319 (2007)

  79. [79]

    Pakkiam, N

    P. Pakkiam, N. P. Kumar, M. Pletyukhov, and A. Fedorov, Qubit-controlled directional edge states in waveguide QED, npj Quantum Inf.9(2023)

  80. [80]

    Kjaergaard, M

    M. Kjaergaard, M. E. Schwartz, J. Braumüller, P. Krantz, J. I.-J. Wang, S. Gustavsson, and W. D. Oliver, Superconducting qubits: Current state of play, Annu. Rev. Condens. Matter Phys.11, 369–395 (2020)

Showing first 80 references.