Non-Hermitian Ising model at finite temperature

DOI10.1088/1572-9494/acbd94zbMath1519.82010MaRDI QIDQ6161705

Qian Du, Kui Cao, Supeng Kou

Publication date: 27 June 2023

Published in: Communications in Theoretical Physics (Search for Journal in Brave)

zbMATH Keywords

thermodynamicsIsing modelquantum statistical mechanicsnon-Hermitian quantum system

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Quantum equilibrium statistical mechanics (general) (82B10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10)

Cites Work

• Two soluble models of an antiferromagnetic chain
• Complex Extension of Quantum Mechanics
• The exactly solvable quasi-Hermitian transverse Ising model
• Exceptional points of non-Hermitian operators
• Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry
• Pseudo-Hermiticity versus PT-symmetry III: Equivalence of pseudo-Hermiticity and the presence of antilinear symmetries
• The physics of exceptional points
• Observation of parity-time symmetry breaking in a single-spin system
• Biorthogonal quantum mechanics
• On the Theory of the Ising Model of Ferromagnetism
• Pseudo-Hermiticity of Hamiltonians under gauge-like transformation: real spectrum of non-Hermitian Hamiltonians

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