Characteristics Analysis and State Transfer for non-Markovian Open Quantum Systems

TL;DR

This paper investigates the dynamics of non-Markovian open quantum systems, analyzing how parameters affect system performance and proposing Lyapunov-based control laws for effective state transfer, validated through numerical simulations.

Contribution

It introduces a Lyapunov control method tailored for non-Markovian quantum systems and analyzes parameter effects on system performance.

Findings

Control laws effectively transfer states in non-Markovian systems

System parameters significantly influence decay and coherence

Lyapunov control improves state transfer success

Abstract

The weak-coupled two-level open quantum system described by non-Markovian Time-convolution-less master equation is investigated in this paper. The cut-off frequency, coupling constant and transition frequency, which impact on the system's decay rate, coherence factor and purity, are investigated. The appropriate parameters used in system simulation experiments are determined by comparing analysis results of different values of parameters for the effects of system performance. The control laws used to transfer the system states are designed on the basis of the Lyapunov stability theorem. Numerical simulation experiments are implemented under the MATLAB environment. The features of the free evolution trajectory of the non-Markovian systems and the states transfer from a pure state to a desired pure state under the action of the proposed control laws are studied, respectively. By comparing the experimental results, the effectiveness of the proposed quantum Lyapunov control method applied to the state transfer in non-Markovian open quantum systems is verified. Meanwhile, the influences of different control parameters and cut-off frequencies on the system performance are analyzed.