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Average quantum coherence and its use in probing quantum phase transitions

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  • Liu, Xin-Yu
  • Hu, Ming-Liang

Abstract

We investigate the average quantum coherence (AQC) defined to be the coherence of a state averaged over all reference bases. This is a basis-independent measure and for any single-qubit state, it is solely determined by the length of the Bloch vector of that state. Concerning its use for probing quantum phase transitions (QPTs), it has the merit of being free of a careful choice of specific spins. We validate this through quantum renormalization of the AQC in the spin-chain models. The scaling analysis shows that the position of the extremum of the AQC susceptibility for each block approaches the QPT point exponentially with the increasing system size, and the AQC susceptibility at the QPT point becomes singular in the thermodynamic limit.

Suggested Citation

  • Liu, Xin-Yu & Hu, Ming-Liang, 2023. "Average quantum coherence and its use in probing quantum phase transitions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 609(C).
    • Handle: RePEc:eee:phsmap:v:609:y:2023:i:c:s0378437122008664
    DOI: 10.1016/j.physa.2022.128308
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