Physics of PT-Symmetric Quantum Systems at Finite Temperature

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.

References in corpus (8)

• Making Sense of Non-Hermitian Hamiltonians
• PT-symmetry breaking and laser-absorber modes in optical scattering systems
• Selective enhancement of topologically induced interface states in a dielectric resonator chain
• Observation of parity-time symmetry breaking in a single spin system
• Observation of Bloch oscillations in complex PT-symmetric photonic lattices
• PT Symmetry on the Lattice: The Quantum Group Invariant XXZ Spin-Chain
• Spontaneous PT symmetry breaking and quantum phase transitions in dimerized spin chains
• Quantum Entanglement of Non-Hermitian Quasicrystals

Cited by in corpus (6)

• Statistical mechanics for non-Hermitian quantum systems
• Many-body Non-Hermitian Skin Effect At Finite Temperatures
• Diagnosing thermalization dynamics of non-Hermitian quantum systems via GKSL master equations
• Dynamical non-Hermitian systems: Fingerprints and pure dephasing induced protection effect
• Physical constraints on effective non-Hermitian systems
• Anatomy of Non-Hermitian Dynamical Quantum Phase Transitions