Singular mapping for a \(PT\)-symmetric sinusoidal optical lattice at the symmetry-breaking threshold

DOI10.1007/s10773-014-2432-yzbMath1329.81438arXiv1411.6451OpenAlexW3125443398MaRDI QIDQ905182

Hugh F. Jones

Publication date: 14 January 2016

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

Full work available at URL: https://arxiv.org/abs/1411.6451

Mathematics Subject Classification ID

Quantum optics (81V80) Symmetry breaking in quantum theory (81R40) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Cites Work

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• A note on the \(\mathcal PT\) invariant periodic potential \(V(x) = 4\cos^2x + 4iV_0\sin2x\)
• Spectral equivalences, Bethe ansatz equations, and reality properties in 𝒫𝒯-symmetric quantum mechanics
• Use of equivalent Hermitian Hamiltonian forPT-symmetric sinusoidal optical lattices
• Invisibility in $\mathcal {PT}$-symmetric complex crystals
• 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: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
• Unbounded $\mathcal {C}$-symmetries and their nonuniqueness
• Analytic results for aPT-symmetric optical structure

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