Complexified coherent states and quantum evolution with non-Hermitian Hamiltonians

DOI10.1088/1751-8113/45/24/244033zbMath1248.81078arXiv1111.1877OpenAlexW3099932207MaRDI QIDQ2896243

Eva-Maria Graefe, Roman Schubert

Publication date: 13 July 2012

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

Full work available at URL: https://arxiv.org/abs/1111.1877

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Coherent states (81R30) Geometry and quantization, symplectic methods (81S10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

Related Items (11)

The norm of the non-self-adjoint harmonic oscillator semigroup ⋮ An invariant class of wave packets for the Wigner transform ⋮ Non-Hermitian propagation of Hagedorn wavepackets ⋮ Pseudo-fermionic coherent states with time-dependent metric ⋮ Segal-Bargmann transforms from hyperbolic Hamiltonians ⋮ Lindblad dynamics of Gaussian states and their superpositions in the semiclassical limit ⋮ A new approximation method for geodesics on the space of Kähler metrics ⋮ A Squeezed Review on Coherent States and Nonclassicality for Non-Hermitian Systems with Minimal Length ⋮ Ladder invariants and coherent states for time-dependent non-Hermitian Hamiltonians ⋮ Construction of quasimodes for non-selfadjoint operators via propagation of Hagedorn wave-packets ⋮ Quantum-jump vs stochastic Schrödinger dynamics for Gaussian states with quadratic Hamiltonians and linear Lindbladians

Uses Software

• Eigtool

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