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arXiv · 2501.07678

Non-Markovian two-time correlation functions for optomechanical systems

Yusui Chen·Kaiqi Xiong
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Abstract

In this paper, we focus on the two-time correlation function (TTCF) of the cavity optomechanical system, which serves as the most popular tool in precision detection technologies. We utilize the stochastic Schrodinger equation approach to study TTCF for the cavity optomechanical system in the long-time steady state TTCF and time-dependent case. Our numerical simulations support two major conclusions: (1) long-time steady states in Markovian and non-Markovian regimes are different, resulting in the distinct TTCF, and (2) the time-dependent TTCF can reveal more information about the environment, rather than the traditional spectral function method.

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Yusui Chen, Kaiqi Xiong. 2025-01-13. Non-Markovian two-time correlation functions for optomechanical systems. https://arxiv.org/abs/2501.07678

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