We investigate thermophonon transports and its nontrivial Berry-phase-like effect in an optomechanical system with squeezed vacuum injection. By taking the cumulant generating function approach that allows for analytical derivations of the thermophonon flux and the Berry curvature. Further, the quantum master equation approach is invoked to verify the analytical results of the transport properties. It is shown that the steady-state thermophonon flux can be modulated by varying optically the nonequilibrium characteristics of the system via the squeezed vacuum. In particular, an adiabatic modulation of squeezing parameters induces an optomechanical Berry-phase-like effect and as a result provides an additional geometric phonon response across the macroscopic mechanical motion near the quantum regime, which can also be seen as a consequence of the asymmetric jumping probability between transition associated with phonon absorption and emission in thermal bath. The present method and results are general and can be straightforwardly extended to any multi-mode oscillator systems and therefore pave the way to the thermal noise energy harvesting and rectification in coupled oscillator systems with inertial terms.

中文翻译：

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量子光机械贝里相效应

我们在挤压真空注入的光机械系统中研究热声子的运输及其非平凡的贝里相效应。通过采用累积量生成函数方法，可以分析热声子通量和贝里曲率。此外，调用了量子主方程方法来验证传输特性的分析结果。结果表明，可以通过压缩真空通过光学方式改变系统的非平衡特性来调节稳态热声子通量。特别是，挤压参数的绝热调制会引起光机械贝里相效应，从而在量子态附近的宏观机械运动中提供额外的几何声子响应，这也可以看作是热浴中与声子吸收和发射相关的跃迁之间不对称跳跃概率的结果。本发明的方法和结果是通用的，可以直接扩展到任何多模振荡器系统，因此为具有惯性项的耦合振荡器系统中的热噪声能量收集和整流铺平了道路。