Equilibrium entanglement vanishes at finite temperature

TL;DR

This paper demonstrates that in finite quantum systems, equilibrium entanglement disappears at a specific finite temperature regardless of the interactions involved.

Contribution

It proves that equilibrium entanglement in finite systems always vanishes at finite temperature, regardless of interaction types.

Findings

Entanglement vanishes at finite temperature in finite systems

Independence from interaction types

Universal behavior in quantum thermodynamics

Abstract

We show that the equilibrium entanglement of a bipartite system having a finite number of quantum states vanishes at finite temperature, for arbitrary interactions between its constituents and with the environment.