Entanglement dynamics for qubits dissipating into a common environment

TL;DR

This paper analytically studies how entanglement evolves among multiple qubits dissipating into a shared environment, identifying conditions for entanglement generation, persistence, and how it scales with system size.

Contribution

It provides a novel analytical framework for understanding entanglement dynamics in multi-qubit systems coupled to a common environment, including steady-state properties.

Findings

Entanglement can be generated between specific qubit pairs.

Steady-state entanglement persists under certain conditions.

Entanglement distribution scales with the number of qubits.

Abstract

We provide an analytical investigation of the entanglement dynamics for a system composed of an arbitrary number of qubits dissipating into a common environment. Specifically we consider initial states whose evolution remains confined on low dimensional subspaces of the operators space. We then find for which pairs of qubits entanglement can be generated and can persist at steady state. Finally, we determine the stationary distribution of entanglement as well as its scaling versus the total number of qubits in the system.