\( \mathcal{PT}\)-symmetry in compact phase space for a linear Hamiltonian

DOI10.1007/s10773-021-04905-xOpenAlexW3133693822WikidataQ114226201 ScholiaQ114226201MaRDI QIDQ2239738

Adrian Ortega, Ivan F. Valtierra, T. Gorin, Mario B. Gaeta

Publication date: 5 November 2021

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.15732

zbMATH Keywords

phase space\( \mathcal{PT}\)-symmetry

Mathematics Subject Classification ID

Groups and algebras in quantum theory (81Rxx) Lie groups (22Exx) General mathematical topics and methods in quantum theory (81Qxx)

Cites Work

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• The Moyal representation for spin
• Perturbation theory for linear operators.
• A non-Hermitian \mathcal{P}\mathcal{T} symmetric Bose–Hubbard model: eigenvalue rings from unfolding higher-order exceptional points
• Baker - Campbell - Hausdorff relation for special unitary groups
• 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
• Exact evolution equations for SU(2) quasidistribution functions
• The physics of exceptional points
• Exceptional points in optics and photonics
• Classical limit of non-Hermitian quantum dynamics—a generalized canonical structure
• Coherent and Incoherent States of the Radiation Field
• Equivalence of Semiclassical and Quantum Mechanical Descriptions of Statistical Light Beams
• Spectral and transport properties of a $\mathcal{P}\mathcal{T}$-symmetric tight-binding chain with gain and loss

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