An investigation of PT -symmetry breaking in tight-binding chains

DOI10.1088/1742-5468/ac42ceOpenAlexW4206302587MaRDI QIDQ5032059

Jean-Marc Luck

Publication date: 16 February 2022

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.10968

zbMATH Keywords

mesoscopic systemsquantum dissipative systemsquantum transport in one dimension

Mathematics Subject Classification ID

Statistical mechanics, structure of matter (82-XX)

Cites Work

• Unnamed Item
• Fluctuations of random matrix products and 1D Dirac equation with random mass
• Substitution dynamical systems. Spectral analysis
• Products of random matrices in statistical physics
• Exponential number of equilibria and depinning threshold for a directed polymer in a random potential
• The Lyapunov exponent of products of random \(2\times 2\) matrices close to the identity
• Complex Extension of Quantum Mechanics
• Lyapunov exponents, one-dimensional Anderson localization and products of random matrices
• An investigation of equilibration in small quantum systems: the example of a particle in a 1D random potential
• Imaginary cubic perturbation: numerical and analytic study
• Electron Levels in a One-Dimensional Random Lattice
• Interacting quantum walkers: two-body bosonic and fermionic bound states
• Classical representation of the one-dimensional Anderson model
• 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
• Impurity models and products of random matrices
• Exponentially Fragile<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">P</mml:mi><mml:mi mathvariant="script">T</mml:mi></mml:math>Symmetry in Lattices with Localized Eigenmodes
• Bipartite concurrence and localized coherence
• Spectral and transport properties of a $\mathcal{P}\mathcal{T}$-symmetric tight-binding chain with gain and loss

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