Crossovers in the non-Markovian dynamics of two-qubit entanglements

TL;DR

This paper investigates how two non-interacting qubits' entanglement evolves under local non-Markovian noise, revealing oscillations and crossovers between different dynamical regimes influenced by coupling bandwidth and detuning.

Contribution

It provides an exact analysis of entanglement dynamics in non-Markovian environments, highlighting the effects of bandwidth and detuning on entanglement behavior.

Findings

Entanglement oscillations occur under both amplitude and phase damping.

Changing coupling bandwidth causes a crossover between dissipative and non-dissipative dynamics.

Detuning controls the transition between strong and weak coupling regimes.

Abstract

We study the entanglement dynamics of two non-interacting, spatially separated qubits subject to local environment noises. Based on exactly solvable models for non-Markovian amplitude damping and phase damping noises, we are able to analyze the entanglement dynamics of the two qubits for different coupling bandwidths and different detunings. We show that entanglement oscillations can occur for both amplitude and phase damping noises. Moreover, we demonstrate that changing the coupling bandwidth can lead to crossover between dissipative and non-dissipative entanglement dynamics, while varying the detuning controls the crossover between strong and weak coupling limits. Our findings can help provide a synthesized picture for the entanglement dynamics of two qubits subject to local environment noises.