Quantum phase transitions in non-Hermitian \(\mathcal{PT}\)-symmetric transverse-field Ising spin chains

DOI10.1016/J.AOP.2023.169268arXiv2211.00679OpenAlexW4322753459MaRDI QIDQ6074306

Mikhail V. Fistul, Ilya M. Eremin, Grigory A. Starkov

Publication date: 12 October 2023

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2211.00679

zbMATH Keywords

quantum phase transitionspin polarizationIsing spin chainspatial correlation functionnon-Hermitian \(\mathcal{PT}\)-symmetric Hamiltonian

Mathematics Subject Classification ID

Quantum theory (81-XX) Statistical mechanics, structure of matter (82-XX)

Cites Work

• Expanded Bethe-Peierls approximation for the Blume-Capel model
• Scaling behavior and phase diagram of a \(\mathcal {PT}\)-symmetric non-Hermitian Bose-Hubbard system
• Critical dynamics of transverse-field quantum Ising model using finite-size scaling and matrix product states
• 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
• 𝓟𝓣-symmetric quantum mechanics
• Observation of parity-time symmetry breaking in a single-spin system
• Statistical theory of superlattices
• Statistical theory of superlattices with unequal concentrations of the components
• The Application of the Bethe-Peierls Method to Ferromagnetism
• The principle of minimized iterations in the solution of the matrix eigenvalue problem

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