Average quantum coherence and its use in probing quantum phase transitions

Xin-Yu Liu and Ming-Liang Hu

Physica A: Statistical Mechanics and its Applications, 2023, vol. 609, issue C

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.

Keywords: Average quantum coherence; Scaling exponent; Quantum phase transitions (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:609:y:2023:i:c:s0378437122008664

DOI: 10.1016/j.physa.2022.128308

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