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

Roberta Palacino, Jonathan Keeling

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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.
Original languageEnglish
Article numberL032016
Number of pages6
JournalPhysical Review Research
Issue number3
Publication statusPublished - 19 Jul 2021


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