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Quantum phase transitions and scaling behaviors of extended 1D compass spin-chain model

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Abstract

We use multipartite entanglement and trace distance to detect the quantum phase transitions of the extended one-dimensional compass spin-chain model by applying the density matrix renormalization group method which is represented by the matrix product state. It is shown that singular behaviors of the first-order derivative of the multipartite entanglement and trace distance occur at the critical point of the system. The scaling behaviors of trace distance and multipartite entanglement are also discussed, and we show that the universal finite-size scaling law is valid for the multipartite entanglement and trace distance around the critical point. Moreover, we explore the quantum coherence for this model and find that the first-order derivative of the quantum coherence also displays discontinuity and exhibits singular critical behaviors that are the same as the trace distance and multipartite entanglement.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (NSFC) (Grant No. 11975198) and the Fundamental Research Funds for the Central Universities (Grant No. 2020FZA3005 and 2019FZA3005).

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Authors and Affiliations

  1. Zhejiang Institute of Modern Physics and Department of Physics, Zhejiang University, Hangzhou, 310027, People’s Republic of China

    Qi Chen & Jing-Bo Xu

  2. Guangdong Provincial Key Laboratory of Quantum Engineering and Quantum Materials, GPETR Center for Quantum Precision Measurement, Frontier Research Institute for Physics and SPTE, South China Normal University, Guangzhou, 510006, People’s Republic of China

    Guo-Qing Zhang

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  1. Qi Chen
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Correspondence to Jing-Bo Xu.

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Chen, Q., Zhang, GQ. & Xu, JB. Quantum phase transitions and scaling behaviors of extended 1D compass spin-chain model. Quantum Inf Process 19, 275 (2020). https://doi.org/10.1007/s11128-020-02780-9

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