Dynamics of quantum entanglement in the reservoir with memory effects

TL;DR

This paper investigates how quantum entanglement evolves in environments with memory effects, showing that non-Markovian reservoirs can slow entanglement decay and alter entanglement dynamics.

Contribution

It introduces a detailed analysis of non-Markovian quantum entanglement dynamics using the Shabani-Lidar master equation, highlighting the impact of memory effects on entanglement decay and sudden death/birth phenomena.

Findings

Entanglement decays more slowly in non-Markovian environments.

Memory kernels can significantly extend decoherence times.

Entanglement sudden death and birth occur at different times.

Abstract

The non-Markovian dynamics of quantum entanglement is studied by the Shabani-Lidar master equation when one of entangled quantum systems is coupled to a local reservoir with memory effects. The completely positive reduced dynamical map can be constructed in the Kraus representation. Quantum entanglement decays more slowly in the non-Markovian environment. The decoherence time for quantum entanglement can be markedly increased by the change of the memory kernel. It is found out that the entanglement sudden death between quantum systems and entanglement sudden birth between the system and reservoir occur at different instants.