Dynamical Tipping in a Quantum Limit Cycle
Abstract
Nonequilibrium systems maintain spatiotemporal order through energy dissipation and entropy production. Here, we demonstrate this principle by engineering a quantum limit cycle that emerges from the interplay between a first-order absorbing-state phase transition and feedback mechanism coupling order and control parameters. The quantum limit cycle manifests dynamical correlations driven by multiplicative quantum noise and periodic traverses through tipping points, which act as a robust early-warning signal for state transitions. This periodic crossing results in the enhanced dynamical susceptibility and transient rise of long-range correlations near each tipping event and their subsequent disappearance away from it. These critical transitions are accompanied by a sharp increase in the energy dissipation rate, leading to a stepwise accumulation of dynamical entropy production over time. Our results provide a way for realizing dynamical fluctuations and long-range correlations in strongly interacting driven-dissipative open quantum systems.
Versions
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BibTeX
@misc{xiang2026dynamical,
title = {{Dynamical Tipping in a Quantum Limit Cycle}},
author = {Ya-Xin Xiang and Zhengyang Bai and Yu-Qiang Ma},
howpublished = {arXiv},
year = {2026},
month = jun,
doi = {10.48550/arxiv.2606.21849},
eprint = {2606.21849},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.21849},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Dynamical Tipping in a Quantum Limit Cycle
AU - Ya-Xin Xiang
AU - Zhengyang Bai
AU - Yu-Qiang Ma
PY - 2026
DA - 2026/06/20
PB - arXiv
DO - 10.48550/arxiv.2606.21849
UR - https://arxiv.org/abs/2606.21849
AB - Nonequilibrium systems maintain spatiotemporal order through energy dissipation and entropy production. Here, we demonstrate this principle by engineering a quantum limit cycle that emerges from the interplay between a first-order absorbing-state phase transition and feedback mechanism coupling order and control parameters. The quantum limit cycle manifests dynamical correlations driven by multiplicative quantum noise and periodic traverses through tipping points, which act as a robust early-warning signal for state transitions. This periodic crossing results in the enhanced dynamical susceptibility and transient rise of long-range correlations near each tipping event and their subsequent disappearance away from it. These critical transitions are accompanied by a sharp increase in the energy dissipation rate, leading to a stepwise accumulation of dynamical entropy production over time. Our results provide a way for realizing dynamical fluctuations and long-range correlations in strongly interacting driven-dissipative open quantum systems.
ER -