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arXiv · 2109.00425

Physics of PT-Symmetric Quantum Systems at Finite Temperature

Qian Du·Kui Cao·Su-Peng Kou
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Abstract

We study parity-time-symmetric non-Hermitian quantum systems at finite temperature, where the Boltzmann distribution law fails to hold. To characterize their abnormal physical properties, a new quantum statistics theory (the so-called quantum Liouvillian statistics theory) was developed, in which the Boltzmann distribution law was replaced by the Liouvillian-Boltzmann distribution law. Using it, we derived analytical results of thermodynamic properties for thermal PT systems and found that a "continuous" thermodynamic phase transition occurs at the exceptional point, where a zero-temperature anomaly exists.

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Qian Du, Kui Cao, Su-Peng Kou. 2021-09-01. Physics of PT-Symmetric Quantum Systems at Finite Temperature. https://doi.org/10.1103/physreva.106.032206

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