Noise-Resilient Phase Transitions and Limit-Cycles in Coupled Kerr
Oscillators
- URL: http://arxiv.org/abs/2106.04045v1
- Date: Tue, 8 Jun 2021 01:46:01 GMT
- Title: Noise-Resilient Phase Transitions and Limit-Cycles in Coupled Kerr
Oscillators
- Authors: H. Alaeian and M. Soriente and K. Najafi and S. F. Yelin
- Abstract summary: Driven-dissipative quantum many-body systems have been the subject of many studies in recent years.
We investigate the Green's function and correlation of the cavity modes in different regions.
Our results shed light on the emergence of dissipative phase transitions in open quantum systems.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Driven-dissipative quantum many-body systems have been the subject of many
studies in recent years. They possess unique, novel classes of
dissipation-stabilized quantum many-body phases including the limit cycle. For
a long time it has been speculated if such a behavior, a recurring phenomenon
in non-linear classical and quantum many-body systems, can be classified as a
time crystal. However, the robustness of these periodic dynamics, against
quantum fluctuations is an open question. In this work we seek the answer to
this question in a canonical yet important system, i.e., a multi-mode cavity
with self and cross-Kerr non-linearity, including the fluctuation effects via
higher order correlations. Employing the Keldysh path integral, we investigate
the Green's function and correlation of the cavity modes in different regions.
Furthermore, we extend our analysis beyond the mean-field by explicitly
including the effect of two-body correlations via the 2nd-cumulant expansion.
Our results shed light on the emergence of dissipative phase transitions in
open quantum systems and clearly indicate the robustness of limit-cycle
oscillations in the presence of the quantum fluctuations.
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