Time Crystal in a Single-mode Nonlinear Cavity
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866913595959279616 |
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| author | Li, Yaohua Wang, Chenyang Tang, Yuanjiang Liu, Yong-Chun |
| author_facet | Li, Yaohua Wang, Chenyang Tang, Yuanjiang Liu, Yong-Chun |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_05854 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Time Crystal in a Single-mode Nonlinear Cavity Li, Yaohua Wang, Chenyang Tang, Yuanjiang Liu, Yong-Chun Quantum Physics Optics 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. |
| title | Time Crystal in a Single-mode Nonlinear Cavity |
| topic | Quantum Physics Optics |
| url | https://arxiv.org/abs/2310.05854 |