Entanglement from dissipative dynamics into overlapping environments

TL;DR

This paper analyzes how bipartite entanglement evolves between two qubit ensembles sharing overlapping environments, revealing optimal initial states and scaling behaviors of stationary entanglement.

Contribution

It provides analytical solutions for entanglement dynamics in overlapping dissipative environments with arbitrary qubit numbers, highlighting optimal initial states and entanglement scaling.

Findings

Maximum entanglement occurs when excitations are in side qubits.

Stationary entanglement scales monotonically with common qubits.

Stationary entanglement scales non-monotonically with side qubits.

Abstract

We consider two ensembles of qubit dissipating into two overlapping environments, that is with a certain number of qubit in common that dissipate into both environments. We then study the dynamics of bipartite entanglement between the two ensembles by excluding the common qubit. To get analytical solutions for an arbitrary number of qubit we consider initial states with a single excitation and show that the largest amount of entanglement can be created when excitations are initially located among side (non common) qubit. Moreover, the stationary entanglement exhibits a monotonic (resp. non-monotonic) scaling versus the number of common (resp. side) qubit.