One-Way Deficit and Quantum Phase Transitions in XX Model

Quantum correlations including entanglement and quantum discord have drawn much attention in characterizing quantum phase transitions. Quantum deficit originates in questions regarding work extraction from quantum systems coupled to a heat bath (Oppenheim et al. Phys. Rev. Lett. 89 , 180402, 2002 )....

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Bibliographic Details
Published inInternational journal of theoretical physics Vol. 57; no. 2; pp. 363 - 370
Main Authors Wang, Yao-Kun, Zhang, Yu-Ran
Format Journal Article
LanguageEnglish
Published New York Springer US 01.02.2018
Springer Nature B.V
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Summary:Quantum correlations including entanglement and quantum discord have drawn much attention in characterizing quantum phase transitions. Quantum deficit originates in questions regarding work extraction from quantum systems coupled to a heat bath (Oppenheim et al. Phys. Rev. Lett. 89 , 180402, 2002 ). It links quantum thermodynamics with quantum correlations and provides a new standpoint for understanding quantum non-locality. In this paper, we evaluate the one-way deficit of two adjacent spins in the bulk for the XX model. In the thermodynamic limit, the XX model undergoes a first order transition from fully polarized to a critical phase with quasi-long-range order with decrease of quantum parameter. We find that the one-way deficit becomes nonzero after the critical point. Therefore, the one-way deficit characterizes the quantum phase transition in the XX model.
ISSN:0020-7748
1572-9575
DOI:10.1007/s10773-017-3568-3