Topological chirality of dissipative limit cycles in an open Dicke model

• URL: http://arxiv.org/abs/2609.12126v1
• Date: Thu, 10 Sep 2026 18:54:55 GMT
• Title: Topological chirality of dissipative limit cycles in an open Dicke model
• Abstract summary: We show that dissipation drives two limit-cycle phases of opposite chirality in the thermodynamic limit, obtaining exact analytical solutions.<n>Our results establish dissipation as a resource for inducing chiral dynamical order in light-matter coupled systems.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: In an open, $U(1)$-symmetric Dicke model with chiral atom-cavity couplings, we show that dissipation drives two limit-cycle phases of opposite chirality in the thermodynamic limit, obtaining exact analytical solutions. These phases are separated by a $U(1)$-broken superradiant state, lending the phase diagram a topological character, and persist under $U(1)$-preserving perturbations, making them candidates for chiral continuous time crystals. In addition to stable normal and inverted steady states, the model also exhibits multistability, where the long-time dynamics is set by the initial state. Our results establish dissipation as a resource for inducing chiral dynamical order in light-matter coupled systems.

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