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  • Letter
  • Open Access

Atom-only theories for U(1) symmetric cavity-QED models

Roberta Palacino and Jonathan Keeling

  • SUPA, School of Physics and Astronomy, University of St Andrews, St Andrews KY16 9SS, United Kingdom

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Phys. Rev. Research 3, L032016 – Published 19 July, 2021

DOI: https://doi.org/10.1103/PhysRevResearch.3.L032016

Abstract

We consider a generalized Dicke model with U(1) symmetry, which can undergo a transition to a superradiant state that spontaneously breaks this symmetry. By exploiting the difference in timescale between atomic and cavity dynamics, one may eliminate the cavity dynamics, providing an atom-only theory. We show that the standard Redfield theory cannot describe the transition to the superradiant state, but including higher-order corrections does recover the transition. Our work reveals how the forms of effective theories must vary for models with continuous symmetry, and provides a template to develop effective theories of more complex models.

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Phys. Rev. Research 3, L032016– Published 19 July, 2021
  • Received 26 November 2020
  • Accepted 29 June 2021
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