Effects of non-Markovian squeezed bath on the dynamics of open systems

Arapat Ablimit, Feng-Hua Ren, Run-Hong He, Yang-Yang Xie and Zhao-Ming Wang

Physica A: Statistical Mechanics and its Applications, 2023, vol. 630, issue C

Abstract: Control of the dynamics of an open quantum system is crucial in quantum information processing. Basically there are two ways: one is the control on the system and the other is tuning the bath parameters. In this paper, we use the latter to analyze the non-Markovian dynamics of the open system. The model is that the system is immersed in non-Markovian squeezed baths. For the dynamics, a non-Markovian master equation is obtained using the quantum state diffusion (QSD) equation technique for the weak system–bath couplings. We take the adiabatic evolution or quantum state transmission as examples to analyze the effects of the bath parameters: non-Markovianity γ, the squeezed direction θ and squeezed strength r. For the adiabatic or state transmission fidelity, the calculation results show that they both can be enhanced by a smaller γ or bigger p-quadrature. Interestingly, when 0<θ<π/2, the squeezed quadrature is determined by the combination of r and θ, and by numerical simulation we find that the fidelity peak occurs at r=1−2θ/π. The fidelities increase with increasing r when r∈(0,1−2θ/π]. When θ≥π/2, lower fidelities are obtained due to the squeezed baths. Our results show that the dynamics of the open systems can be effectively controlled by reservoir engineering.

Keywords: Open quantum system; Non-Markovian; Squeezed bath (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:630:y:2023:i:c:s0378437123008063

DOI: 10.1016/j.physa.2023.129251

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