Dissipative Dicke time crystals: an atoms' point of view

• URL: http://arxiv.org/abs/2310.00046v2
• Date: Mon, 8 Jul 2024 10:41:37 GMT
• Title: Dissipative Dicke time crystals: an atoms' point of view
• Authors: Simon B. Jäger, Jan Mathis Giesen, Imke Schneider, Sebastian Eggert,
• Abstract summary: We develop and study an atom-only description of the Dicke model with time-periodic couplings between atoms and a dissipative cavity mode. The cavity mode is eliminated giving rise to effective atom-atom interactions and dissipation. We show that the atom-only theory can describe the relaxation into such a dissipative time crystal and that the damping rate can be understood in terms of a cooling mechanism.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We develop and study an atom-only description of the Dicke model with time-periodic couplings between atoms and a dissipative cavity mode. The cavity mode is eliminated giving rise to effective atom-atom interactions and dissipation. We use this effective description to analyze the dynamics of the atoms that undergo a transition to a dynamical superradiant phase with macroscopic coherences in the atomic medium and the light field. Using Floquet theory in combination with the atom-only description we provide a precise determination of the phase boundaries and of the dynamical response of the atoms. From this we can predict the existence of dissipative time crystals that show a subharmonic response with respect to the driving frequency. We show that the atom-only theory can describe the relaxation into such a dissipative time crystal and that the damping rate can be understood in terms of a cooling mechanism.

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