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

The piezoelectric optomechanical devices supply a promising experimental platform to realize the coherent and effective control and measurement on 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 the mechanical oscillators enter 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 is introduced and solved in terms of quantum-state diffusion (QSD) trajectories in the non-Markovianregime. 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 transfer between macroscopic objects due to the memory effect of the environment.