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

• Published in: arXiv.org
• Main Authors: Ablimit, Arapat, Feng-Hua, Ren, Run-Hong He, Yang-Yang, Xie, Zhao-Ming, Wang
• Format: Paper Journal Article
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 09.04.2023
• Subjects: Accuracy; Adiabatic flow; Couplings; Data processing; Dynamics; Mathematical models; Open systems; Parameters; Physics - Quantum Physics; Quadratures; Quantum phenomena; Quantum theory; System effectiveness
• ISSN: 2331-8422
• DOI: 10.48550/arxiv.2304.04223

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 eqation is obtained using the quantum state diffusion (QSD) equation technique for the weak system-bath couplings. We use the adiabatic evolution or quantum state transmission as examples to analyze the effects of the bath parameters: non-Markovianity \(\gamma\), the squeezed direction \(\theta\) and squeezed strength \(r\). For the adiabatic or state transmission fidelity, the calculation results show that they both can be enhanced by a smaller \(\gamma\) or bigger \(p\)-quadrature. Interestingly, when \(0<\theta<\pi/2\), the squeezed quadrature is determined by the combination of \(r\) and \(\theta\), and by numerical simulation we find that the fidelity peak occurs at \(r=1-2\theta/\pi\). The fidelities increase with increasing \(r\) when \(r\in (0,1-2\theta/\pi]\). When \(\theta\ge\pi/2\), lower fidelities are obtained due to the squeezed bath. Our results show that the dynamics of the open systems can be effectively controlled by reservoir enginerring.