Impact of the central frequency of environment on non-Markovian dynamics in piezoelectric optomechanical devices

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 enter 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.

Noise assisted quantum coherence protection in hierarchical environment

“…Markovian noise corresponding to a larger γ 2 is more powerful to destroy the atomcavity entanglement generation thus the coherence is protected (region "A"). In contrast, non-Markovian noise corresponding to a smaller γ 2 is often considered to be good to the entanglement generation [35,36,[94][95][96][97][98][99], so that the coherence is destroyed (region "B"). The interesting phenomenon arises in region "C" in Fig.…”

Stochastic Schrödinger equation derivation of non-Markovian two-time correlation functions

“…By comparing the results of Eqs. ( 10 ) and ( 12 ), the initial condition of O operator must satisfy SSE approach can be used to solve many OQS models, including discrete qubit systems, continuous variable systems, and multi-layer mixes systems in the presence of non-Markovian environments 44 , 45 . It can also be extended to deal with both zero-temperature and finite temperature environments.…”