Perpetual emulation threshold of $\mathcal{PT}$ -symmetric Hamiltonians

DOI10.1088/1751-8121/aacc5ezbMath1397.81066arXiv1803.06548OpenAlexW3118848943WikidataQ93166396 ScholiaQ93166396MaRDI QIDQ4689479

Clive Emary, I. B. Spielman, D. Trypogeorgos, A. Valdés-Curiel

Publication date: 16 October 2018

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.06548

zbMATH Keywords

\(\mathcal{PT}\)-symmetrynon-Hermitianpseudospins

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

Cites Work

• Spectral equivalences, Bethe ansatz equations, and reality properties in 𝒫𝒯-symmetric quantum mechanics
• A Bose-Einstein condensate in a 𝒫𝒯 symmetric double well
• Complex Extension of Quantum Mechanics
• Must a Hamiltonian be Hermitian?
• Realizing ${\mathcal{P}}{\mathcal{T}}$-symmetric BEC subsystems in closed Hermitian systems
• The ODE/IM correspondence

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