Impact of the Central Frequency of Environment on Non-Markovian Dynamics in Piezoelectric Optomechanical Devices

TL;DR

This paper investigates how the central frequency of a noisy environment influences non-Markovian dynamics and entanglement in piezoelectric optomechanical devices, revealing environment-induced enhancements and transfer of quantum correlations.

Contribution

It introduces a semi-classical and full-quantum model for piezoelectric optomechanical systems in non-Markovian regimes, highlighting environment frequency effects on entanglement.

Findings

Environment frequency can enhance entanglement between optical and LC circuits.

Critical points in coefficient functions lead to different system behaviors.

Memory effects enable entanglement transfer between macroscopic objects.

Abstract

The piezoelectric optomechanical devices supply a promising experimental platform to realize the coherent and effective control and measurement of optical circuits working in Terahertz (THz) frequencies via superconducting electron devices typically working in Radio (MHz) frequencies. However, quantum fluctuations are unavoidable when the size of mechanical oscillators enters into the nanoscale. The consequences of the noisy environment are still challenging due to the lack of analytical tools. In this paper, a semi-classical and full-quantum model of piezoelectric optomechanical systems coupled to a noisy bosonic quantum environment are introduced and solved in terms of quantum-state diffusion (QSD) trajectories in the non-Markovian regime. We show that the noisy environment, particularly the central frequency of the environment, can enhance the entanglement generation between optical cavities and LC circuits in some parameter regimes. Moreover, we observe the critical points in the coefficient functions, which can lead the different behaviors in the system. Besides, we also witness the entanglement transfers between macroscopic objects due to the memory effect of the environment. Our work can be applied in the fields of electric/ optical switches, and long-distance distribution in a large-scale quantum network.