Entanglement crossover close to a quantum critical point

TL;DR

This paper investigates how thermal entanglement behaves near a quantum critical point in one-dimensional models, revealing universal scaling and crossover behaviors that connect quantum and thermal fluctuations.

Contribution

It demonstrates the universal $T eq 0$--scaling of entanglement sensitivity and uncovers a peculiar crossover behavior near quantum critical points.

Findings

Entanglement exhibits universal $T eq 0$--scaling near quantum critical points.

Thermal entanglement shows a crossover behavior influenced by quantum criticality.

Entanglement sensitivity to fluctuations obeys universal scaling laws.

Abstract

We discuss the thermal entanglement close to a quantum phase transition by analyzing the concurrence for one dimensional models in the quantum Ising universality class. We demonstrate that the entanglement sensitivity to thermal and to quantum fluctuations obeys universal $T\neq 0$--scaling behaviour. We show that the entanglement, together with its criticality, exhibits a peculiar universal crossover behaviour.