Time-Reversal Symmetry in Non-Hermitian Systems

DOI10.1143/PTP.127.937zbMath1254.81043arXiv1106.1806OpenAlexW3101220807MaRDI QIDQ2919499

Kazuki Hasebe, Kenta Esaki, Mahito Kohmoto, Masatoshi Sato

Publication date: 2 October 2012

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

Full work available at URL: https://arxiv.org/abs/1106.1806

Mathematics Subject Classification ID

Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

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Pseudo-Hermitian systems with \(\mathcal {PT}\)-symmetry: degeneracy and Krein space ⋮ Pseudo-Hermitian systems, involutive symmetries and pseudofermions ⋮ Constraints on the energy spectrum of non-Hermitian models in open environments ⋮ Non-compact Hopf maps and fuzzy ultra-hyperboloids ⋮ Effects of Disorder on Non-unitary <i>PT</i> Symmetric Quantum Walks ⋮ On the K-theoretic classification of dynamically stable systems ⋮ $Sp(4; \mathbb{R})$ squeezing for Bloch four-hyperboloid via the non-compact Hopf map ⋮ Spin-entangled squeezed state on a Bloch four-hyperboloid

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