Time Crystal in a Single-mode Nonlinear Cavity
Abstract
Time crystal is a class of non-equilibrium phases with broken time-translational symmetry. Here we demonstrate the time crystal in a single-mode nonlinear cavity. The time crystal originates from the self-oscillation induced by a linear gain and is stabilized by a nonlinear damping. We show in the time crystal phase there are sharp dissipative gap closing and pure imaginary eigenvalues of the Liouvillian spectrum in the thermodynamic limit. Dynamically, we observe a metastable regime with the emergence of quantum oscillation, followed by a dissipative evolution with a time scale much smaller than the oscillating period. Moreover, we show there is a dissipative phase transition at the Hopf bifurcation of the model, which can be characterized by the photon number fluctuation in the steady state. These results pave a new promising way for further experiments and deepen our understanding of time crystals.
Cite
@article{arxiv.2310.05854,
title = {Time Crystal in a Single-mode Nonlinear Cavity},
author = {Yaohua Li and Chenyang Wang and Yuanjiang Tang and Yong-Chun Liu},
journal= {arXiv preprint arXiv:2310.05854},
year = {2024}
}