Non-Markovian Entanglement Sudden Death and Rebirth of a Two-Qubit System in the Presence of System-Bath Coherence

TL;DR

This paper investigates how entanglement between two qubits evolves, including sudden death and rebirth, in non-Markovian environments using hierarchy equations that account for system-bath correlations.

Contribution

It introduces a detailed analysis of entanglement dynamics considering initial system-bath correlations and employs hierarchy equations for non-Markovian problems.

Findings

Identifies conditions for entanglement sudden death and rebirth.

Analyzes effects of coupling strength, noise frequency, and temperature on entanglement.

Provides a comprehensive view of concurrence evolution in non-Markovian settings.

Abstract

We present a detailed study of the entanglement dynamics of a two-qubit system coupled to independent non-Markovian environments, employing hierarchy equations. This recently developed theoretical treatment can conveniently solve non-Markovian problems and take into consideration the correlation between the system and bath in an initial state. We concentrate on calculating the death and rebirth time points of the entanglement to obtain a general view of the concurrence curve and explore the behavior of entanglement dynamics with respect to the coupling strength, the characteristic frequency of the noise bath and the environment temperature.