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Quantum Information Processing

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

  • 01-08-2020
Published in:
Authors
Qi Chen
Guo-Qing Zhang
Jing-Bo Xu
Published in
Quantum Information Processing | Issue 8/2020

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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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previous article Constructions of quasi-twisted quantum codes
next article Tighter monogamy and polygamy relations of multiparty quantum entanglement
Title
Quantum phase transitions and scaling behaviors of extended 1D compass spin-chain model
Authors
Qi Chen
Guo-Qing Zhang
Jing-Bo Xu
Publication date
01-08-2020
Publisher
Springer US
Published in
Quantum Information Processing / Issue 8/2020
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-020-02780-9
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