Einstein-Podolsky-Rosen Steering and Quantum Phase Transition in Spin Chains

We study the Einstein-Podolsky-Rosen steering and quantum phase transitions of the transverse Ising and antiferromagnetic XXZ spin-1/2 chains. By making use of steerable weight, we calculate the steerability for the bipartite subsystems of the models. It is shown that steerability vanishes abruptly...

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Bibliographic Details
Published inInternational journal of theoretical physics Vol. 57; no. 10; pp. 2978 - 2988
Main Authors Zhang, Ye-Qi, Sun, Yong-Tao, He, Qi-Liang
Format Journal Article
LanguageEnglish
Published New York Springer US 01.10.2018
Springer Nature B.V
Subjects
Antiferromagnetism
Chain entanglement
Chains
Critical point
Elementary Particles
Ising model
Mathematical and Computational Physics
Phase transitions
Physics
Physics and Astronomy
Quantum entanglement
Quantum Field Theory
Quantum Physics
Steering
Theoretical
Weight
Quantum correlations
Quantum phase transition
Einstein-Podolsky-Rosen steering
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Summary:We study the Einstein-Podolsky-Rosen steering and quantum phase transitions of the transverse Ising and antiferromagnetic XXZ spin-1/2 chains. By making use of steerable weight, we calculate the steerability for the bipartite subsystems of the models. It is shown that steerability vanishes abruptly and its value maintains zero in a region close to the critical point for the Ising chain. This result is quite different from the information provided by entanglement and quantum discord. While for the XXZ chain, steerability increases and reaches maximal at the critical point, indicating the occurrence of quantum phase transition.
ISSN:0020-7748
1572-9575
DOI:10.1007/s10773-018-3817-0