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  • Letter
  • Open Access

Characterizing the dynamical phase diagram of the Dicke model via classical and quantum probes

R. J. Lewis-Swan1,2, S. R. Muleady3,4,*, D. Barberena3,4,*, J. J. Bollinger5, and A. M. Rey3,4

  • 1Homer L. Dodge Department of Physics and Astronomy, The University of Oklahoma, Norman, Oklahoma 73019, USA
  • 2Center for Quantum Research and Technology, The University of Oklahoma, Norman, Oklahoma 73019, USA
  • 3JILA, NIST, Department of Physics, University of Colorado, Boulder, Colorado 80309, USA
  • 4Center for Theory of Quantum Matter, University of Colorado, Boulder, Colorado 80309, USA
  • 5National Institute of Standards and Technology, Boulder, Colorado 80305, USA

  • *These two authors contributed equally.
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Phys. Rev. Research 3, L022020 – Published 4 June, 2021

DOI: https://doi.org/10.1103/PhysRevResearch.3.L022020

Abstract

We theoretically study the dynamical phase diagram of the Dicke model in both classical and quantum limits using large, experimentally relevant system sizes. Our analysis elucidates that the model features dynamical critical points that are strongly influenced by features of chaos and emergent integrability in the model. Moreover, our numerical calculations demonstrate that mean-field features of the dynamics remain valid in the exact quantum dynamics, but we also find that in regimes where quantum effects dominate signatures of the dynamical phases and chaos can persist in purely quantum metrics such as entanglement and correlations. Our predictions can be verified in current quantum simulators of the Dicke model including arrays of trapped ions.

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Phys. Rev. Research 3, L022020– Published 4 June, 2021
  • Received 8 February 2021
  • Accepted 11 May 2021
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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.

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