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One-Way Deficit and Quantum Phase Transitions in XX Model

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Abstract

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.

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Acknowledgments

We are thankful to Jin-Jun Chen for fruitful discussions. This work was supported by the Science and Technology Research Plan Project of the Department of Education of Jilin Province in the Twelfth Five-Year Plan, the National Natural Science Foundation of China under grant Nos. 11175248, 11275131, 11305105.

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Authors and Affiliations

  1. College of Mathematics, Tonghua Normal University, Tonghua, Jilin, 134001, People’s Republic of China

    Yao-Kun Wang

  2. Institute of Physics, Chinese Academy of Sciences, Beijing, 100190, People’s Republic of China

    Yao-Kun Wang & Yu-Ran Zhang

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  1. Yao-Kun Wang
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  2. Yu-Ran Zhang
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Correspondence to Yao-Kun Wang.

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Wang, YK., Zhang, YR. One-Way Deficit and Quantum Phase Transitions in XX Model. Int J Theor Phys 57, 363–370 (2018). https://doi.org/10.1007/s10773-017-3568-3

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  • DOI: https://doi.org/10.1007/s10773-017-3568-3

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