The entangling power of a "glocal" dissipative map

TL;DR

This paper analyzes a model of two qubits experiencing both local and global dissipation, revealing that entanglement can be generated under certain conditions, notably when the local environment is at non-zero temperature.

Contribution

It introduces a detailed characterization of a dissipative map combining local and global environments and identifies conditions for entanglement generation in this setting.

Findings

Entanglement can be induced by the dissipative map.

Non-zero temperature local environments are necessary for entanglement.

The model interpolates between purely local and purely global dissipation.

Abstract

We consider a model of two qubits dissipating into both local and global environments (generally at non-zero temperatures), with the possibility of interpolating between purely local dissipation and purely global one. The corresponding dissipative dynamical map is characterized in terms of its Kraus operators focusing on the stationary regime. We then determine conditions under which entanglement can be induced by the action of such a map. It results (rather counterintuitively) that in order to have entanglement in the presence of local environment, this latter must be at nonzero temperature.