Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Letter
  • Open Access

Resonant enhancement of three-body loss between strongly interacting photons

Marcin Kalinowski1,2,3,*, Yidan Wang1,3,*, Przemyslaw Bienias1,4, Michael J. Gullans1,4,5, D. P. Ornelas-Huerta1, Alexander N. Craddock1, Steven L. Rolston1, J. V. Porto1, Hans Peter Büchler6 et al.

Alexey V. Gorshkov1,4

  • 1Joint Quantum Institute, NIST/University of Maryland, College Park, Maryland 20742, USA
  • 2Faculty of Physics, University of Warsaw, Pasteura 5, 02-093 Warsaw, Poland
  • 3Department of Physics, Harvard University, 17 Oxford Street Cambridge, Massachusetts 02138, USA
  • 4Joint Center for Quantum Information and Computer Science, NIST/University of Maryland, College Park, Maryland 20742, USA
  • 5Department of Physics, Princeton University, Princeton, New Jersey 08544, USA
  • 6Institute for Theoretical Physics III and Center for Integrated Quantum Science and Technology, University of Stuttgart, 70550 Stuttgart, Germany

  • *These authors contributed equally to this work.

Phys. Rev. Research 4, L022059 – Published 17 June, 2022

DOI: https://doi.org/10.1103/PhysRevResearch.4.L022059

Abstract

Rydberg polaritons provide an example of a rare type of system where three-body interactions can be as strong as or even stronger than two-body interactions. The three-body interactions can be either dispersive or dissipative, with both types possibly giving rise to exotic, strongly interacting, and topological phases of matter. Despite past theoretical and experimental studies of the regime with dispersive interaction, the dissipative regime is still mostly unexplored. Using a renormalization group technique to solve the quantum three-body problem, we show how the shape and strength of dissipative three-body forces can be universally enhanced for Rydberg polaritons. We demonstrate how these interactions relate to the transmission through a single-mode cavity, which can be used as a probe of the three-body physics in current experiments.

View figure in article

Physics Subject Headings (PhySH)

Article Text

Supplemental Material

References (67)

  1. D. E. Chang, V. Vuletić, and M. D. Lukin, Quantum nonlinear optics—photon by photon, Nat. Photonics 8, 685 (2014).
  2. H. J. Kimble, The quantum internet, Nature (London) 453, 1023 (2008).
  3. I. Carusotto and C. Ciuti, Quantum fluids of light, Rev. Mod. Phys. 85, 299 (2013).
  4. M. F. Maghrebi, N. Y. Yao, M. Hafezi, T. Pohl, O. Firstenberg, and A. V. Gorshkov, Fractional quantum Hall states of Rydberg polaritons, Phys. Rev. A 91, 033838 (2015).
  5. J. Otterbach, M. Moos, D. Muth, and M. Fleischhauer, Wigner Crystallization of Single Photons in Cold Rydberg Ensembles, Phys. Rev. Lett. 111, 113001 (2013).
  6. V. Efimov, Energy levels arising from resonant two-body forces in a three-body system, Phys. Lett. B 33, 563 (1970).
  7. G. Brown and A. Green, Three-body forces in nuclear matter, Nucl. Phys. A 137, 1 (1969).
  8. A. W. Steiner and S. Gandolfi, Connecting Neutron Star Observations to Three-Body Forces in Neutron Matter and to the Nuclear Symmetry Energy, Phys. Rev. Lett. 108, 081102 (2012).
  9. G. Moore and N. Read, Nonabelions in the fractional quantum Hall effect, Nucl. Phys. B 360, 362 (1991).
  10. M. Fleischhauer, A. Imamoglu, and J. P. Marangos, Electromagnetically induced transparency: Optics in coherent media, Rev. Mod. Phys. 77, 633 (2005).
  11. Y. O. Dudin and A. Kuzmich, Strongly interacting Rydberg excitations of a cold atomic gas, Science 336, 887 (2012).
  12. T. Peyronel, O. Firstenberg, Q. Y. Liang, S. Hofferberth, A. V. Gorshkov, T. Pohl, M. D. Lukin, and V. Vuletić, Quantum nonlinear optics with single photons enabled by strongly interacting atoms, Nature (London) 488, 57 (2012).
  13. D. Maxwell, D. J. Szwer, D. Paredes-Barato, H. Busche, J. D. Pritchard, A. Gauguet, K. J. Weatherill, M. P. A. Jones, and C. S. Adams, Storage and Control of Optical Photons Using Rydberg Polaritons, Phys. Rev. Lett. 110, 103001 (2013).
  14. J. Stanojevic, V. Parigi, E. Bimbard, A. Ourjoumtsev, and P. Grangier, Dispersive optical nonlinearities in a Rydberg electromagnetically-induced-transparency medium, Phys. Rev. A 88, 053845 (2013).
  15. L. Li, J. C. Snyder, I. M. Pelaschier, J. Huang, U. N. Niranjan, P. Duncan, M. Rupp, K. R. Müller, and K. Burke, Understanding machine-learned density functionals, Int. J. Quantum Chem. 116, 819 (2016).
  16. H. Gorniaczyk, C. Tresp, J. Schmidt, H. Fedder, and S. Hofferberth, Single-Photon Transistor Mediated by Interstate Rydberg Interactions, Phys. Rev. Lett. 113, 053601 (2014).
  17. D. Tiarks, S. Baur, K. Schneider, S. Dürr, and G. Rempe, Single-Photon Transistor Using a Förster Resonance, Phys. Rev. Lett. 113, 053602 (2014).
  18. H. Gorniaczyk, C. Tresp, P. Bienias, A. Paris-Mandoki, W. Li, I. Mirgorodskiy, H. P. Büchler, I. Lesanovsky, and S. Hofferberth, Enhancement of Rydberg-mediated single-photon nonlinearities by electrically tuned Förster resonances, Nat. Commun. 7, 12480 (2016).
  19. D. Tiarks, S. Schmidt, G. Rempe, and S. Dürr, Optical π phase shift created with a single-photon pulse, Sci. Adv. 2, e1600036 (2016).
  20. J. D. Thompson, T. L. Nicholson, Q. Y. Liang, S. H. Cantu, A. V. Venkatramani, S. Choi, I. A. Fedorov, D. Viscor, T. Pohl, M. D. Lukin, and V. Vuletic, Symmetry-protected collisions between strongly interacting photons, Nature (London) 542, 206 (2017).
  21. D. Tiarks, S. Schmidt-Eberle, T. Stolz, G. Rempe, and S. Dürr, A photon-photon quantum gate based on Rydberg interactions, Nat. Phys. 15, 124 (2019).
  22. O. Firstenberg, T. Peyronel, Q. Y. Liang, A. V. Gorshkov, M. D. Lukin, and V. Vuletić, Attractive photons in a quantum nonlinear medium, Nature (London) 502, 71 (2013).
  23. Q.-Y. Liang, A. V. Venkatramani, S. H. Cantu, T. L. Nicholson, M. J. Gullans, A. V. Gorshkov, J. D. Thompson, C. Chin, M. D. Lukin, and V. Vuletić, Observation of three-photon bound states in a quantum nonlinear medium, Science 359, 783 (2018).
  24. N. Stiesdal, J. Kumlin, K. Kleinbeck, P. Lunt, C. Braun, A. Paris-Mandoki, C. Tresp, H. P. Büchler, and S. Hofferberth, Observation of Three-Body Correlations for Photons Coupled to a Rydberg Superatom, Phys. Rev. Lett. 121, 103601 (2018).
  25. A. Sommer and J. Simon, Engineering photonic Floquet Hamiltonians through Fabry-Pérot resonators, New J. Phys. 18, 035008 (2016).
  26. N. Schine, A. Ryou, A. Gromov, A. Sommer, and J. Simon, Synthetic Landau levels for photons, Nature (London) 534, 671 (2016).
  27. N. Jia, N. Schine, A. Georgakopoulos, A. Ryou, L. W. Clark, A. Sommer, and J. Simon, A strongly interacting polaritonic quantum dot, Nat. Phys. 14, 550 (2018).
  28. L. W. Clark, N. Jia, N. Schine, C. Baum, A. Georgakopoulos, and J. Simon, Interacting Floquet polaritons, Nature 571, 532 (2019).
  29. S. H. Cantu, A. V. Venkatramani, W. Xu, L. Zhou, B. Jelenković, M. D. Lukin, and V. Vuletić, Repulsive photons in a quantum nonlinear medium, Nat. Phys. 16, 921 (2020).
  30. K. Jachymski, P. Bienias, and H. P. Büchler, Three-Body Interaction of Rydberg Slow-Light Polaritons, Phys. Rev. Lett. 117, 053601 (2016).
  31. M. J. Gullans, J. D. Thompson, Y. Wang, Q. Y. Liang, V. Vuletić, M. D. Lukin, and A. V. Gorshkov, Effective Field Theory for Rydberg Polaritons, Phys. Rev. Lett. 117, 113601 (2016).
  32. M. J. Gullans, S. Diehl, S. T. Rittenhouse, B. P. Ruzic, J. P. D'Incao, P. Julienne, A. V. Gorshkov, and J. M. Taylor, Efimov States of Strongly Interacting Photons, Phys. Rev. Lett. 119, 233601 (2017).
  33. P. Bienias, M. J. Gullans, M. Kalinowski, A. N. Craddock, D. P. Ornelas-Huerta, S. L. Rolston, J. V. Porto, and A. V. Gorshkov, Exotic Photonic Molecules via Lennard-Jones-like Potentials, Phys. Rev. Lett. 125, 093601 (2020).
  34. F. M. Gambetta, W. Li, F. Schmidt-Kaler, and I. Lesanovsky, Engineering NonBinary Rydberg Interactions via Phonons in an Optical Lattice, Phys. Rev. Lett. 124, 043402 (2020).
  35. H. P. Büchler, A. Micheli, and P. Zoller, Three-body interactions with cold polar molecules, Nat. Phys. 3, 726 (2007).
  36. A. J. Daley, J. M. Taylor, S. Diehl, M. Baranov, and P. Zoller, Atomic Three-Body Loss as a Dynamical Three-Body Interaction, Phys. Rev. Lett. 102, 040402 (2009).
  37. P. R. Johnson, E. Tiesinga, J. V. Porto, and C. J. Williams, Effective three-body interactions of neutral bosons in optical lattices, New J. Phys. 11, 093022 (2009).
  38. L. Mazza, M. Rizzi, M. Lewenstein, and J. I. Cirac, Emerging bosons with three-body interactions from spin-1 atoms in optical lattices, Phys. Rev. A 82, 043629 (2010).
  39. Concurrently with this work, Ref. [45] studies an enhanced three-body loss feature in free space that occurs in a similar parameter regime, but with a richer physical origin.
  40. A. V. Gorshkov, R. Nath, and T. Pohl, Dissipative Many-Body Quantum Optics in Rydberg Media, Phys. Rev. Lett. 110, 153601 (2013).
  41. C. Tresp, P. Bienias, S. Weber, H. Gorniaczyk, I. Mirgorodskiy, H. P. Büchler, and S. Hofferberth, Dipolar dephasing of Rydberg D-State Polaritons, Phys. Rev. Lett. 115, 083602 (2015).
  42. E. Zeuthen, M. J. Gullans, M. F. Maghrebi, and A. V. Gorshkov, Correlated Photon Dynamics in Dissipative Rydberg Media, Phys. Rev. Lett. 119, 043602 (2017).
  43. P. Bienias, J. Douglas, A. Paris-Mandoki, P. Titum, I. Mirgorodskiy, C. Tresp, E. Zeuthen, M. J. Gullans, M. Manzoni, S. Hofferberth, D. Chang, and A. V. Gorshkov, Photon propagation through dissipative Rydberg media at large input rates, Phys. Rev. Research 2, 033049 (2020).
  44. M. Roncaglia, M. Rizzi, and J. I. Cirac, Pfaffian State Generation by Strong Three-Body Dissipation, Phys. Rev. Lett. 104, 096803 (2010).
  45. D. P. Ornelas-Huerta, P. Bienias, A. N. Craddock, M. J. Gullans, A. J. Hachtel, M. Kalinowski, M. E. Lyon, A. V. Gorshkov, S. L. Rolston, and J. V. Porto, Tunable Three-Body Loss in a Nonlinear Rydberg Medium, Phys. Rev. Lett. 126, 173401 (2021).
  46. M. D. Lukin, M. Fleischhauer, R. Cote, L. M. Duan, D. Jaksch, J. I. Cirac, and P. Zoller, Dipole Blockade and Quantum Information Processing in Mesoscopic Atomic Ensembles, Phys. Rev. Lett. 87, 037901 (2001).
  47. M. Lewenstein, A. Sanpera, V. Ahufinger, B. Damski, A. Sen, and U. Sen, Ultracold atomic gases in optical lattices: Mimicking condensed matter physics and beyond, Adv. Phys. 56, 243 (2007).
  48. A. Sommer, H. P. Büchler, and J. Simon, Quantum crystals and Laughlin droplets of cavity Rydberg polaritons, arXiv:1506.00341.
  49. V. Parigi, E. Bimbard, J. Stanojevic, A. J. Hilliard, F. Nogrette, R. Tualle-Brouri, A. Ourjoumtsev, and P. Grangier, Observation and Measurement of Interaction-Induced Dispersive Optical Nonlinearities in an Ensemble of Cold Rydberg Atoms, Phys. Rev. Lett. 109, 233602 (2012).
  50. A. Georgakopoulos, A. Sommer, and J. Simon, Theory of interacting cavity Rydberg polaritons, Quantum Sci. Technol. 4, 014005 (2018).
  51. M. Litinskaya, E. Tignone, and G. Pupillo, Cavity polaritons with Rydberg blockade and long-range interactions, J. Phys. B 49, 164006 (2016).
  52. A. Grankin, E. Brion, E. Bimbard, R. Boddeda, I. Usmani, A. Ourjoumtsev, and P. Grangier, Quantum statistics of light transmitted through an intracavity Rydberg medium, New J. Phys. 16, 043020 (2014).
  53. See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevResearch.4.L022059 for detailed derivations of energy shifts and transmission properties.
  54. M. Kalinowski et al. (unpublished).
  55. P. Bienias, S. Choi, O. Firstenberg, M. F. Maghrebi, M. Gullans, M. D. Lukin, A. V. Gorshkov, and H. P. Büchler, Scattering resonances and bound states for strongly interacting Rydberg polaritons, Phys. Rev. A 90, 053804 (2014).
  56. A. V. Gorshkov, J. Otterbach, M. Fleischhauer, T. Pohl, and M. D. Lukin, Photon-Photon Interactions via Rydberg Blockade, Phys. Rev. Lett. 107, 133602 (2011).
  57. P. Bienias and H. P. Büchler, Two photon conditional phase gate based on Rydberg slow light polaritons, J. Phys. B: At., Mol. Opt. Phys. 53, 054003 (2020).
  58. H. Carmichael, An Open Systems Approach to Quantum Optics: Lectures Presented at the Université Libre de Bruxelles, October 28 to November 4, 1991 (Springer-Verlag, Berlin, 1993).
  59. P. Bienias and H. P. Büchler, Quantum theory of Kerr nonlinearity with Rydberg slow light polaritons, New J. Phys. 18, 123026 (2016).
  60. P. Bienias, Few-body quantum physics with strongly interacting Rydberg polaritons, Eur. Phys. J. Spec. Top. 225, 2957 (2016).
  61. L. D. Faddeev, Scattering theory for a three-particle system, Sov. Phys. JETP 12, 1014 (1961).
  62. There is a second three-body resonance at δ=−Ω/2 corresponding to the resonance with two upper and one lower polariton. We avoid the use of this resonance due to singularities that arise in the two-body potential at negative detunings [55, 67].
  63. This treatment neglects higher-order corrections to the waveguide-DSP coupling in rb/L, as well as corrections to u2,3 in the bare waveguide-cavity coupling.
  64. Y. Wang et al. (unpublished).
  65. C. Murray and T. Pohl, Quantum and nonlinear optics in strongly interacting atomic ensembles, Adv. At., Mol., Opt. Phys. 65, 321 (2016).
  66. T. Graß, P. Bienias, M. J. Gullans, R. Lundgren, J. Maciejko, and A. V. Gorshkov, Fractional Quantum Hall Phases of Bosons with Tunable Interactions: From the Laughlin Liquid to a Fractional Wigner Crystal, Phys. Rev. Lett. 121, 253403 (2018).
  67. M. F. Maghrebi, M. J. Gullans, P. Bienias, S. Choi, I. Martin, O. Firstenberg, M. D. Lukin, H. P. Büchler, and A. V. Gorshkov, Coulomb Bound States of Strongly Interacting Photons, Phys. Rev. Lett. 115, 123601 (2015).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation