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  • Letter
  • Open Access

Decoherence-free many-body Hamiltonians in nonlinear waveguide quantum electrodynamics

Aviv Karnieli1,*, Offek Tziperman2, Charles Roques-Carmes1, and Shanhui Fan1

  • *Contact author: karnieli@stanford.edu
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Phys. Rev. Research 7, L012014 – Published 21 January, 2025

DOI: https://doi.org/10.1103/PhysRevResearch.7.L012014

Abstract

Enhancing interactions in many-body quantum systems, while protecting them from environmental decoherence, is at the heart of many quantum technologies. Waveguide quantum electrodynamics is a promising platform for achieving this, as it hosts infinite-range interactions and decoherence-free subspaces of quantum emitters. However, as coherent interactions between emitters are typically washed out in the wavelength-spacing regime hosting decoherence-free states, coherent control over the latter becomes limited, and many-body Hamiltonians in this important regime remain out of reach. Here we show that by incorporating emitter arrays with nonlinear waveguides hosting parametric gain, we obtain a unique class of many-body interaction Hamiltonians with coupling strengths that increase with emitter spacing, and persist even for wavelength-spaced arrays. We then propose to use these Hamiltonians to coherently generate decoherence-free states directly from the ground state, using only global squeezing drives, without the need for local addressing of individual emitters. Interestingly, we find that the dynamics approaches a unitary evolution in the limit of weak intrawaveguide squeezing, and we discuss potential experimental realizations of this effect. Our results pave the way towards coherent control protocols in waveguide quantum electrodynamics, with applications including quantum computing, simulation, memory, and nonclassical light generation.

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References (66)

  1. C. L. Degen, F. Reinhard, and P. Cappellaro, Quantum sensing, Rev. Mod. Phys. 89, 035002 (2017).
  2. I. M. Georgescu, S. Ashhab, and F. Nori, Quantum simulation, Rev. Mod. Phys. 86, 153 (2014).
  3. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, UK, 2010).
  4. J. F. Poyatos, J. I. Cirac, and P. Zoller, Quantum reservoir engineering with laser cooled trapped ions, Phys. Rev. Lett. 77, 4728 (1996).
  5. D. Kienzler, H. Y. Lo, B. Keitch, L. De Clercq, F. Leupold, F. Lindenfelser, M. Marinelli, V. Negnevitsky, and J. P. Home, Quantum harmonic oscillator state synthesis by reservoir engineering, Science 347, 53 (2015).
  6. P. M. Harrington, E. J. Mueller, and K. W. Murch, Engineered dissipation for quantum information science, Nat. Rev. Phys. 4, 660 (2022).
  7. W. Qin, A. Miranowicz, P. B. Li, X. Y. Lü, J. Q. You, and F. Nori, Exponentially enhanced light-matter interaction, cooperativities, and steady-state entanglement using parametric amplification, Phys. Rev. Lett. 120, 093601 (2018).
  8. C. Leroux, L. C. Govia, and A. A. Clerk, Enhancing cavity quantum electrodynamics via antisqueezing: Synthetic ultrastrong coupling, Phys. Rev. Lett. 120, 093602 (2018).
  9. S. Zeytinoglu, A. Imamoglu, and S. Huber, Engineering matter interactions using squeezed vacuum, Phys. Rev. X 7, 021041 (2017).
  10. S. C. Burd, R. Srinivas, H. M. Knaack, W. Ge, A. C. Wilson, D. J. Wineland, D. Leibfried, J. J. Bollinger, D. T. Allcock, and D. H. Slichter, Quantum amplification of boson-mediated interactions, Nat. Phys. 17, 898 (2021).
  11. D. A. Lidar, I. L. Chuang, and K. B. Whaley, Decoherence-free subspaces for quantum computation, Phys. Rev. Lett. 81, 2594 (1998).
  12. P. Zanardi and M. Rasetti, Noiseless quantum codes, Phys. Rev. Lett. 79, 3306 (1997).
  13. J. T. Shen and S. Fan, Coherent photon transport from spontaneous emission in one-dimensional waveguides, Opt. Lett. 30, 2001 (2005).
  14. J. T. Shen and S. Fan, Theory of single-photon transport in a single-mode waveguide. I. Coupling to a cavity containing a two-level atom, Phys. Rev. A 79, 023837 (2009).
  15. T. Caneva, M. T. Manzoni, T. Shi, J. S. Douglas, J. Ignacio Cirac, and D. E. Chang, Quantum dynamics of propagating photons with strong interactions: A generalized input–output formalism, New J. Phys. 17, 113001 (2015).
  16. A. Asenjo-Garcia, M. Moreno-Cardoner, A. Albrecht, H. J. Kimble, and D. E. Chang, Exponential improvement in photon storage fidelities using subradiance and “selective radiance” in atomic arrays, Phys. Rev. X 7, 031024 (2017).
  17. 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).
  18. V. Paulisch, H. J. Kimble, and A. González-Tudela, Universal quantum computation in waveguide QED using decoherence free subspaces, New J. Phys. 18, 043041 (2016).
  19. D. Malz and J. I. Cirac, Nondestructive photon counting in waveguide QED, Phys. Rev. Res. 2, 033091 (2020).
  20. C. Tabares, A. Muñoz De Las Heras, L. Tagliacozzo, D. Porras, and A. González-Tudela, Variational quantum simulators based on waveguide QED, Phys. Rev. Lett. 131, 073602 (2023).
  21. 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).
  22. Y. X. Zhang and K. Mølmer, Theory of subradiant states of a one-dimensional two-level atom chain, Phys. Rev. Lett. 122, 203605 (2019).
  23. A. V. Poshakinskiy, J. Zhong, Y. Ke, N. A. Olekhno, C. Lee, Y. S. Kivshar, and A. N. Poddubny, Quantum Hall phases emerging from atom–photon interactions, npj Quantum Inf. 7, 34 (2021).
  24. O. Tziperman, G. Baranes, A. Gorlach, R. Ruimy, C. Mechel, M. Faran, N. Gutman, A. Pizzi, and I. Kaminer, The quantum state of light in collective spontaneous emission, arXiv:2306.11348.
  25. J. You, Z. Liao, S. W. Li, and M. S. Zubairy, Waveguide quantum electrodynamics in squeezed vacuum, Phys. Rev. A 97, 023810 (2018).
  26. S. Y. Bai and J. H. An, Generating stable spin squeezing by squeezed-reservoir engineering, Phys. Rev. Lett. 127, 083602 (2021).
  27. R. Gutiérrez-Jáuregui, A. Asenjo-Garcia, and G. S. Agarwal, Dissipative stabilization of dark quantum dimers via squeezed vacuum, Phys. Rev. Res. 5, 013127 (2023).
  28. 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).
  29. A. F. Kockum, G. Johansson, and F. Nori, Decoherence-free interaction between giant atoms in waveguide quantum electrodynamics, Phys. Rev. Lett. 120, 140404 (2018).
  30. H. Pichler, T. Ramos, A. J. Daley, and P. Zoller, Quantum optics of chiral spin networks, Phys. Rev. A 91, 042116 (2015).
  31. R. Holzinger, R. Gutiérrez-Jáuregui, T. Hönigl-Decrinis, G. Kirchmair, A. Asenjo-Garcia, and H. Ritsch, Control of localized single- and many-body dark states in waveguide QED, Phys. Rev. Lett. 129, 253601 (2022).
  32. M. Zanner, T. Orell, C. M. Schneider, R. Albert, S. Oleschko, M. L. Juan, M. Silveri, and G. Kirchmair, Coherent control of a multi-qubit dark state in waveguide quantum electrodynamics, Nat. Phys. 18, 538 (2022).
  33. C. Macklin, K. O'Brien, D. Hover, M. E. Schwartz, V. Bolkhovsky, X. Zhang, W. D. Oliver, and I. Siddiqi, A near-quantum-limited Josephson traveling-wave parametric amplifier, Science 350, 307 (2015).
  34. J. Y. Qiu, A. Grimsmo, K. Peng, B. Kannan, B. Lienhard, Y. Sung, P. Krantz, V. Bolkhovsky, G. Calusine, D. Kim, A. Melville, B. M. Niedzielski, J. Yoder, M. E. Schwartz, T. P. Orlando, I. Siddiqi, S. Gustavsson, K. P. O'Brien, and W. D. Oliver, Broadband squeezed microwaves and amplification with a Josephson travelling-wave parametric amplifier, Nat. Phys. 19, 706 (2023).
  35. R. Nehra, R. Sekine, L. Ledezma, Q. Guo, R. M. Gray, A. Roy, and A. Marandi, Few-cycle vacuum squeezing in nanophotonics, Science 377, 1333 (2022).
  36. A. González-Tudela, V. Paulisch, D. E. Chang, H. J. Kimble, and J. I. Cirac, Deterministic generation of arbitrary photonic states assisted by dissipation, Phys. Rev. Lett. 115, 163603 (2015).
  37. See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevResearch.7.L012014 for derivation of the formalism, discussion on decoherence-free subspaces, comparison to reservoir engineering, derivation of the emergent coherent dynamics, details on the adiabatic elimination procedure, details on the dynamics of larger systems, and derivation of the effect of thermal noise.
  38. J. Combes, J. Kerckhoff, and M. Sarovar, The SLH framework for modeling quantum input-output networks, Adv. Phys.: X 2, 784 (2017).
  39. A. Periwal, E. S. Cooper, P. Kunkel, J. F. Wienand, E. J. Davis, and M. Schleier-Smith, Programmable interactions and emergent geometry in an array of atom clouds, Nature (London) 600, 630 (2021).
  40. G. Bentsen, T. Hashizume, A. S. Buyskikh, E. J. Davis, A. J. Daley, S. S. Gubser, and M. Schleier-Smith, Treelike interactions and fast scrambling with cold atoms, Phys. Rev. Lett. 123, 130601 (2019).
  41. J. Ma, X. Wang, C. P. Sun, and F. Nori, Quantum spin squeezing, Phys. Rep. 509, 89 (2011).
  42. Y. C. Liu, Z. F. Xu, G. R. Jin, and L. You, Spin squeezing: Transforming one-axis twisting into two-axis twisting, Phys. Rev. Lett. 107, 013601 (2011).
  43. V. V. Albert and L. Jiang, Symmetries and conserved quantities in Lindblad master equations, Phys. Rev. A 89, 022118 (2014).
  44. A. V. Poshakinskiy and A. N. Poddubny, Dimerization of many-body subradiant states in waveguide quantum electrodynamics, Phys. Rev. Lett. 127, 173601 (2021).
  45. D. Finkelstein-Shapiro, D. Viennot, I. Saideh, T. Hansen, T. Pullerits, and A. Keller, Adiabatic elimination and subspace evolution of open quantum systems, Phys. Rev. A 101, 042102 (2020).
  46. A. P. Foster, D. Hallett, I. V. Iorsh, S. J. Sheldon, M. R. Godsland, B. Royall, E. Clarke, I. A. Shelykh, A. M. Fox, M. S. Skolnick, I. E. Itskevich, and L. R. Wilson, Tunable photon statistics exploiting the Fano effect in a waveguide, Phys. Rev. Lett. 122, 173603 (2019).
  47. M. Mirhosseini, E. Kim, X. Zhang, A. Sipahigil, P. B. Dieterle, A. J. Keller, A. Asenjo-Garcia, D. E. Chang, and O. Painter, Cavity quantum electrodynamics with atom-like mirrors, Nature (London) 569, 692 (2019).
  48. M. Arcari, I. Söllner, A. Javadi, S. Lindskov Hansen, S. Mahmoodian, J. Liu, H. Thyrrestrup, E. H. Lee, J. D. Song, S. Stobbe, and P. Lodahl, Near-unity coupling efficiency of a quantum emitter to a photonic crystal waveguide, Phys. Rev. Lett. 113, 093603 (2014).
  49. Z. Wang, S. Shankar, Z. K. Minev, P. Campagne-Ibarcq, A. Narla, and M. H. Devoret, Cavity attenuators for superconducting qubits, Phys. Rev. Appl. 11, 014031 (2019).
  50. A. Somoroff, Q. Ficheux, R. A. Mencia, H. Xiong, R. Kuzmin, and V. E. Manucharyan, Millisecond coherence in a superconducting qubit, Phys. Rev. Lett. 130, 267001 (2023).
  51. M. D. Hutchings, J. B. Hertzberg, Y. Liu, N. T. Bronn, G. A. Keefe, M. Brink, J. M. Chow, and B. L. T. Plourde, Tunable superconducting qubits with flux-independent coherence, Phys. Rev. Appl. 8, 044003 (2017).
  52. J. D. Brehm, A. N. Poddubny, A. Stehli, T. Wolz, H. Rotzinger, and A. V. Ustinov, Waveguide bandgap engineering with an array of superconducting qubits, npj Quantum Mater. 6, 10 (2021).
  53. A. L. Grimsmo and A. Blais, Squeezing and quantum state engineering with Josephson travelling wave amplifiers, npj Quantum Inf. 3, 20 (2017).
  54. N. Nishad, A. Keselman, T. Lahaye, A. Browaeys, and S. Tsesses, Quantum simulation of generic spin-exchange models in Floquet-engineered Rydberg-atom arrays, Phys. Rev. A 108, 053318 (2023).
  55. I. Hurvitz, A. Arie, and A. Karnieli, Frequency-domain engineering of bright squeezed vacuum for continuous-variable quantum information, Opt. Express 31, 20387 (2023).
  56. M. F. Yanik, W. Suh, Z. Wang, and S. Fan, Stopping light in a waveguide with an all-optical analog of electromagnetically induced transparency, Phys. Rev. Lett. 93, 233903 (2004).
  57. M. Zanner, R. Albert, E. I. Rosenthal, S. Casulleras, I. Yang, C. M. F. Schneider, O. Romero-Isart, and G. Kirchmair, Spatial addressing of qubits in a dispersive waveguide, arXiv:2407.10617.
  58. T. Shi and S. Fan, Two-photon transport through a waveguide coupling to a whispering-gallery resonator containing an atom and photon-blockade effect, Phys. Rev. A 87, 063818 (2013).
  59. T. Shi, Y. Chang, and J. J. García-Ripoll, Ultrastrong coupling few-photon scattering theory, Phys. Rev. Lett. 120, 153602 (2018).
  60. 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).
  61. Z. Wang, T. Jaako, P. Kirton, and P. Rabl, Supercorrelated radiance in nonlinear photonic waveguides, Phys. Rev. Lett. 124, 213601 (2020).
  62. X. Wang, J.-Q. Li, T. Liu, A. Miranowicz, and F. Nori, Long-range four-body interactions in structured nonlinear photonic waveguides, Phys. Rev. Res. 6, 043226 (2024).
  63. L. L. Wan and X. Y. Lü, Quantum-squeezing-induced point-gap topology and skin effect, Phys. Rev. Lett. 130, 203605 (2023).
  64. M. A. Perlin, C. Qu, and A. M. Rey, Spin squeezing with short-range spin-exchange interactions, Phys. Rev. Lett. 125, 223401 (2020).
  65. Y. Lu, N. Lambert, A. F. Kockum, K. Funo, A. Bengtsson, S. Gasparinetti, F. Nori, and P. Delsing, Steady-state heat transport and work with a single artificial atom coupled to a waveguide: Emission without external driving, PRX Quantum 3, 020305 (2022).
  66. J. Q. Quach and W. J. Munro, Using dark states to charge and stabilize open quantum batteries, Phys. Rev. Appl. 14, 024092 (2020).

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Phys. Rev. Research 7, L012014– Published 21 January, 2025
  • Received 12 June 2024
  • Accepted 19 November 2024
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