Entanglement-assisted local operations and classical communications conversion in the quantum critical systems

TL;DR

This paper investigates how entanglement-assisted local operations can convert ground states in quantum critical systems, revealing phase transition points through changes in convertibility.

Contribution

It introduces a new method to detect quantum phase transitions by analyzing local convertibility in various quantum models.

Findings

eLOCC convertibility changes at phase transition points

Distinct convertibility between excited and ground states in different phases

Relation established between quantum phase transition order and local convertibility

Abstract

Conversions between the ground states in quantum critical systems via entanglement-assisted local operations and classical communications (eLOCC) are studied. We propose a new method to reveal the different convertibility by local operations when a quantum phase transition occurs. We have studied the ground state local convertibility in the one dimensional transverse field Ising model, XY model and XXZ model. It is found that the eLOCC convertibility sudden changes at the phase transition points. In transverse field Ising model the eLOCC convertibility between the first excited state and the ground state are also distinct for different phases. The relation between the order of quantum phase transitions and the local convertibility is discussed.