- Physical Review Journals
All JournalsPhysics Magazine

Physical Review Research

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

Photon-mediated correlated hopping in a synthetic ladder

Anjun Chu1,2,*, Asier Piñeiro Orioli1,2, Diego Barberena1,2, James K. Thompson1, and Ana Maria Rey1,2

  • 1JILA, NIST and Department of Physics, University of Colorado, Boulder, Colorado 80309, USA
  • 2Center for Theory of Quantum Matter, University of Colorado, Boulder, Colorado 80309, USA

  • *anjun.chu@colorado.edu
PDF

Phys. Rev. Research 5, L022034 – Published 17 May, 2023

DOI: https://doi.org/10.1103/PhysRevResearch.5.L022034

Abstract

We propose a different direction in quantum simulation that uses multilevel atoms in an optical cavity as a toolbox to engineer different types of bosonic models featuring correlated hopping processes in a synthetic ladder spanned by atomic ground states. The underlying mechanisms responsible for correlated hopping are collective cavity-mediated interactions that dress a manifold of excited levels in the far-detuned limit. By weakly coupling the ground-state levels to these dressed states using two laser drives with appropriate detunings, one can engineer correlated hopping processes while suppressing undesired single-particle and collective shifts of the ground-state levels. We discuss the rich many-body dynamics that can be realized in the synthetic ladder including pair production processes, chiral transport, and light-cone correlation spreading. The latter illustrates that an effective notion of locality can be engineered in a system with fully collective interactions.

View figure in article

Physics Subject Headings (PhySH)

Article Text

Supplemental Material

References (46)

  1. O. Dutta, M. Gajda, P. Hauke, M. Lewenstein, D.-S. Lühmann, B. A. Malomed, T. Sowiński, and J. Zakrzewski, Non-standard hubbard models in optical lattices: A review, Rep. Prog. Phys. 78, 066001 (2015).
  2. G. I. Japaridze and A. P. Kampf, Weak-coupling phase diagram of the extended hubbard model with correlated-hopping interaction, Phys. Rev. B 59, 12822 (1999).
  3. T. J. Elliott and I. B. Mekhov, Engineering many-body dynamics with quantum light potentials and measurements, Phys. Rev. A 94, 013614 (2016).
  4. F. Görg, K. Sandholzer, J. Minguzzi, R. Desbuquois, M. Messer, and T. Esslinger, Realization of density-dependent peierls phases to engineer quantized gauge fields coupled to ultracold matter, Nat. Phys. 15, 1161 (2019).
  5. C. Schweizer, F. Grusdt, M. Berngruber, L. Barbiero, E. Demler, N. Goldman, I. Bloch, and M. Aidelsburger, Floquet approach to Z2 lattice gauge theories with ultracold atoms in optical lattices, Nat. Phys. 15, 1168 (2019).
  6. C. V. Kraus, M. Dalmonte, M. A. Baranov, A. M. Läuchli, and P. Zoller, Majorana Edge States in Atomic Wires Coupled by Pair Hopping, Phys. Rev. Lett. 111, 173004 (2013).
  7. T. Chanda, R. Kraus, G. Morigi, and J. Zakrzewski, Self-organized topological insulator due to cavity-mediated correlated tunneling, Quantum 5, 501 (2021).
  8. R. Ma, M. E. Tai, P. M. Preiss, W. S. Bakr, J. Simon, and M. Greiner, Photon-Assisted Tunneling in a Biased Strongly Correlated Bose Gas, Phys. Rev. Lett. 107, 095301 (2011).
  9. F. Meinert, M. J. Mark, K. Lauber, A. J. Daley, and H.-C. Nägerl, Floquet Engineering of Correlated Tunneling in the Bose-Hubbard Model with Ultracold Atoms, Phys. Rev. Lett. 116, 205301 (2016).
  10. W. Xu, W. Morong, H.-Y. Hui, V. W. Scarola, and B. DeMarco, Correlated spin-flip tunneling in a fermi lattice gas, Phys. Rev. A 98, 023623 (2018).
  11. L. W. Clark, B. M. Anderson, L. Feng, A. Gaj, K. Levin, and C. Chin, Observation of Density-Dependent Gauge Fields in a Bose-Einstein Condensate Based on Micromotion Control in a Shaken Two-Dimensional Lattice, Phys. Rev. Lett. 121, 030402 (2018).
  12. S. Baier, M. J. Mark, D. Petter, K. Aikawa, L. Chomaz, Z. Cai, M. Baranov, P. Zoller, and F. Ferlaino, Extended bose-hubbard models with ultracold magnetic atoms, Science 352, 201 (2016).
  13. F. Mivehvar, F. Piazza, T. Donner, and H. Ritsch, Cavity qed with quantum gases: New paradigms in many-body physics, Adv. Phys. 70, 1 (2021).
  14. K. Baumann, C. Guerlin, F. Brennecke, and T. Esslinger, Dicke quantum phase transition with a superfluid gas in an optical cavity, Nature (London) 464, 1301 (2010).
  15. J. Klinder, H. Keßler, M. R. Bakhtiari, M. Thorwart, and A. Hemmerich, Observation of a Superradiant Mott Insulator in the Dicke-Hubbard Model, Phys. Rev. Lett. 115, 230403 (2015).
  16. M. A. Norcia, R. J. Lewis-Swan, J. R. Cline, B. Zhu, A. M. Rey, and J. K. Thompson, Cavity-mediated collective spin-exchange interactions in a strontium superradiant laser, Science 361, 259 (2018).
  17. E. J. Davis, G. Bentsen, L. Homeier, T. Li, and M. H. Schleier-Smith, Photon-Mediated Spin-Exchange Dynamics of Spin-1 Atoms, Phys. Rev. Lett. 122, 010405 (2019).
  18. J. A. Muniz, D. Barberena, R. J. Lewis-Swan, D. J. Young, J. R. K. Cline, A. M. Rey, and J. K. Thompson, Exploring dynamical phase transitions with cold atoms in an optical cavity, Nature (London) 580, 602 (2020).
  19. S. C. Schuster, P. Wolf, S. Ostermann, S. Slama, and C. Zimmermann, Supersolid Properties of a Bose-Einstein Condensate in a Ring Resonator, Phys. Rev. Lett. 124, 143602 (2020).
  20. X. Zhang, Y. Chen, Z. Wu, J. Wang, J. Fan, S. Deng, and H. Wu, Observation of a superradiant quantum phase transition in an intracavity degenerate fermi gas, Science 373, 1359 (2021).
  21. Y. Guo, R. M. Kroeze, B. P. Marsh, S. Gopalakrishnan, J. Keeling, and B. L. Lev, An optical lattice with sound, Nature (London) 599, 211 (2021).
  22. 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).
  23. H. Konishi, K. Roux, V. Helson, and J.-P. Brantut, Universal pair polaritons in a strongly interacting fermi gas, Nature (London) 596, 509 (2021).
  24. R. Rosa-Medina, F. Ferri, F. Finger, N. Dogra, K. Kroeger, R. Lin, R. Chitra, T. Donner, and T. Esslinger, Observing Dynamical Currents in a Non-Hermitian Momentum Lattice, Phys. Rev. Lett. 128, 143602 (2022).
  25. A. Sondberg Sørensen and K. Mølmer, Entangling atoms in bad cavities, Phys. Rev. A 66, 022314 (2002).
  26. A. N. Pyrkov and T. Byrnes, Entanglement generation in quantum networks of bose–einstein condensates, New J. Phys. 15, 093019 (2013).
  27. A. Celi, P. Massignan, J. Ruseckas, N. Goldman, I. B. Spielman, G. Juzeliūnas, and M. Lewenstein, Synthetic Gauge Fields in Synthetic Dimensions, Phys. Rev. Lett. 112, 043001 (2014).
  28. T. Ozawa and H. M. Price, Topological quantum matter in synthetic dimensions, Nat. Rev. Phys. 1, 349 (2019).
  29. M. Mancini, G. Pagano, G. Cappellini, L. Livi, M. Rider, J. Catani, C. Sias, P. Zoller, M. Inguscio, M. Dalmonte, and L. Fallani, Observation of chiral edge states with neutral fermions in synthetic hall ribbons, Science 349, 1510 (2015).
  30. B. K. Stuhl, H.-I. Lu, L. M. Aycock, D. Genkina, and I. B. Spielman, Visualizing edge states with an atomic bose gas in the quantum hall regime, Science 349, 1514 (2015).
  31. S. Kolkowitz, S. L. Bromley, T. Bothwell, M. L. Wall, G. E. Marti, A. P. Koller, X. Zhang, A. M. Rey, and J. Ye, Spin–orbit-coupled fermions in an optical lattice clock, Nature (London) 542, 66 (2017).
  32. T. Chalopin, T. Satoor, A. Evrard, V. Makhalov, J. Dalibard, R. Lopes, and S. Nascimbene, Probing chiral edge dynamics and bulk topology of a synthetic hall system, Nat. Phys. 16, 1017 (2020).
  33. T.-W. Zhou, G. Cappellini, D. Tusi, L. Franchi, J. Parravicini, C. Repellin, S. Greschner, M. Inguscio, T. Giamarchi, M. Filippone, J. Catani, and L. Fallani, Observation of universal hall response in strongly interacting fermions, arXiv:2205.13567.
  34. See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevResearch.5.L022034 for details of adiabatic elimination, undepleted pump approximation, numerical results for dynamical phase transition and experimental considerations (includes Refs. [16, 18, 35, 44, 46]).
  35. A. Piñeiro Orioli, J. K. Thompson, and A. M. Rey, Emergent Dark States from Superradiant Dynamics in Multilevel Atoms in a Cavity, Phys. Rev. X 12, 011054 (2022).
  36. L. Pezzè, A. Smerzi, M. K. Oberthaler, R. Schmied, and P. Treutlein, Quantum metrology with nonclassical states of atomic ensembles, Rev. Mod. Phys. 90, 035005 (2018).
  37. O. Katz, M. Cetina, and C. Monroe, n-Body Interactions Between Trapped Ion Qubits Via Spin-Dependent Squeezing, Phys. Rev. Lett. 129, 063603 (2022).
  38. H.-X. Yang, T. Tian, Y.-B. Yang, L.-Y. Qiu, H.-Y. Liang, A.-J. Chu, C. B. Dağ, Y. Xu, Y. Liu, and L.-M. Duan, Observation of dynamical quantum phase transitions in a spinor condensate, Phys. Rev. A 100, 013622 (2019).
  39. M. O. Scully and M. S. Zubairy, Quantum Optics (Cambridge University Press, Cambridge, 1997).
  40. J. Kitzinger, M. Chaudhary, M. Kondappan, V. Ivannikov, and T. Byrnes, Two-axis two-spin squeezed states, Phys. Rev. Res. 2, 033504 (2020).
  41. M. Cheneau, P. Barmettler, D. Poletti, M. Endres, P. Schauß, T. Fukuhara, C. Gross, I. Bloch, C. Kollath, and S. Kuhr, Light-cone-like spreading of correlations in a quantum many-body system, Nature (London) 481, 484 (2012).
  42. P. Jurcevic, B. P. Lanyon, P. Hauke, C. Hempel, P. Zoller, R. Blatt, and C. F. Roos, Quasiparticle engineering and entanglement propagation in a quantum many-body system, Nature (London) 511, 202 (2014).
  43. P. Richerme, Z.-X. Gong, A. Lee, C. Senko, J. Smith, M. Foss-Feig, S. Michalakis, A. V. Gorshkov, and C. Monroe, Non-local propagation of correlations in quantum systems with long-range interactions, Nature (London) 511, 198 (2014).
  44. M. A. Norcia, J. R. K. Cline, J. A. Muniz, J. M. Robinson, R. B. Hutson, A. Goban, G. E. Marti, J. Ye, and J. K. Thompson, Frequency Measurements of Superradiance from the Strontium Clock Transition, Phys. Rev. X 8, 021036 (2018).
  45. R. Belyansky, P. Bienias, Y. A. Kharkov, A. V. Gorshkov, and B. Swingle, Minimal Model for Fast Scrambling, Phys. Rev. Lett. 125, 130601 (2020).
  46. M. M. Boyd, T. Zelevinsky, A. D. Ludlow, S. Blatt, T. Zanon-Willette, S. M. Foreman, and J. Ye, Nuclear spin effects in optical lattice clocks, Phys. Rev. A 76, 022510 (2007).

Outline

Information

Phys. Rev. Research 5, L022034– Published 17 May, 2023
  • Received 5 August 2022
  • Revised 9 February 2023
  • Accepted 5 May 2023
Crossmark - Check for updates button
Creative Commons Logo

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

Published by the American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation