Entanglement dynamics of two interacting qubits under the influence of local dissipation

TL;DR

This paper studies how entanglement between two interacting qubits evolves under local dissipation in a non-Markovian environment, revealing that dissipation can generate entanglement and that non-Markovian effects significantly alter decay rates.

Contribution

It derives a quantum master equation for non-Markovian two-qubit systems and provides a closed-form solution for concurrence evolution, highlighting the creation of entanglement from unentangled states.

Findings

Dissipation can generate entanglement in initially unentangled states.

Non-Markovian effects modify the decay rate of entanglement.

A closed-form formula for concurrence evolution is obtained.

Abstract

We investigate the dynamics of entanglement given by the concurrence of a two-qubit system in the non-Markovian setting. A quantum master equation is derived which is solved in the eigen basis of the system Hamiltonian for X-type initial states. A closed formula for time evolution of concurrence is presented for a pure state. It is shown that under the influence of dissipation that non-zero entanglement is created in unentangled two qubit states which decay in the same way as pure entangled states. We also show that under real circumstances, the decay rate of concurrence is strongly modified by the non-Markovinity of the evolution.