Time Crystal in a Single-mode Nonlinear Cavity
- URL: http://arxiv.org/abs/2310.05854v2
- Date: Fri, 19 Jan 2024 04:55:49 GMT
- Title: Time Crystal in a Single-mode Nonlinear Cavity
- Authors: Yaohua Li, Chenyang Wang, Yuanjiang Tang, Yong-Chun Liu
- Abstract summary: Time crystal is a class of non-equilibrium phases with broken time-translational symmetry.
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.
- Score: 2.1692609084102505
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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.
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