PreprintCC BY 4.0arXiv
Topological chirality of dissipative limit cycles in an open Dicke model
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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BibTeX
@misc{yegovtsev2026topological,
title = {{Topological chirality of dissipative limit cycles in an open Dicke model}},
author = {Nikolay Yegovtsev and Sayan Choudhury and W. Vincent Liu},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.12126},
eprint = {2609.12126},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.12126},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Topological chirality of dissipative limit cycles in an open Dicke model
AU - Nikolay Yegovtsev
AU - Sayan Choudhury
AU - W. Vincent Liu
PY - 2026
DA - 2026/09/10
PB - arXiv
DO - 10.48550/arxiv.2609.12126
UR - https://arxiv.org/abs/2609.12126
AB - 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.
ER -