Optomechanical dynamics in the $\mathcal{PT}$- and broken-$\mathcal{PT}$-symmetric regimes

• URL: http://arxiv.org/abs/2107.13891v1
• Date: Thu, 29 Jul 2021 10:54:00 GMT
• Title: Optomechanical dynamics in the $\mathcal{PT}$- and broken-$\mathcal{PT}$-symmetric regimes
• Authors: Hai Xu, Deng-Gao Lai, Yi-Bing Qian, Bang-Pin Hou, Adam Miranowicz, and Franco Nori
• Abstract summary: We study the dynamics of typical optomechanical systems in $mathcalPT$- and broken-$mathcalPT$-symmetric regimes. We find that by appropriately tuning either mechanical gain or optomechanical coupling, both phase transitions of the $mathcalPT$-symmetry and stability of the system can be flexibly controlled.
• Score: 0.36944296923226316
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We theoretically study the dynamics of typical optomechanical systems, consisting of a passive optical mode and an active mechanical mode, in the $\mathcal{PT}$- and broken-$\mathcal{PT}$-symmetric regimes. By fully analytical treatments for the dynamics of the average displacement and particle numbers, we reveal the phase diagram under different conditions and the various regimes of both $\mathcal{PT}$-symmetry and stability of the system. We find that by appropriately tuning either mechanical gain or optomechanical coupling, both phase transitions of the $\mathcal{PT}$-symmetry and stability of the system can be flexibly controlled. As a result, the dynamical behaviors of the average displacement, photons, and phonons are radically changed in different regimes. Our study shows that $\mathcal{PT}$-symmetric optomechanical devices can serve as a powerful tool for the manipulation of mechanical motion, photons, and phonons.

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