Einstein-Podolsky-Rosen Steering in Quantum Phase Transition

TL;DR

This paper studies how EPR steering signals quantum phase transitions in spin chains, revealing nonanalytic behavior at critical points and demonstrating universality of these phenomena.

Contribution

It introduces the analysis of EPR steering as a critical indicator in quantum phase transitions, showing its nonanalytic behavior and universality.

Findings

EPR steerability function diverges at critical point

EPR steering exhibits nonanalytic features near phase transition

Universal behavior of EPR steering in quantum critical systems

Abstract

We investigate the Einstein-Podolsky-Rosen (EPR) steering and its criticality in quantum phase transition. It is found that the EPR steerability function of the ground state of XY spin chain exhibits nonanalytic feature in the vicinity of a quantum phase transition by showing that its derivative with respect to anisotropy parameter diverges at the critical point. We then verify the universality of the critical phenomena of the EPR steerability function in the system. We also use two-qubit EPR-steering inequality to explore the relation between EPR steering and quantum phase transition.