Non-Hermitian Swanson model with a time-dependent metric
- 26 October 2016
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 94 (4) , 042128
Abstract
We provide further nontrivial solutions to the recently proposed time-dependent Dyson and quasi-Hermiticity relation. Here, we solve them for the generalized version of the non-Hermitian Swanson Hamiltonian with time-dependent coefficients. We construct time-dependent solutions by employing the Lewis-Riesenfeld method of invariants and discuss concrete physical applications of our results.Keywords
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Funding Information
- Coordenação de Aperfeiçoamento de Pessoal de Nível Superior
- City University London
This publication has 41 references indexed in Scilit:
- Jarzynski Equality in-Symmetric Quantum MechanicsPhysical Review Letters, 2015
- -Symmetric Phonon LaserPhysical Review Letters, 2014
- Parity–time-symmetric whispering-gallery microcavitiesNature Physics, 2014
- Observation of Defect States in-Symmetric Optical LatticesPhysical Review Letters, 2013
- Beam Dynamics inSymmetric Optical LatticesPhysical Review Letters, 2008
- Pseudo-Hermiticity versus PT-symmetry III: Equivalence of pseudo-Hermiticity and the presence of antilinear symmetriesJournal of Mathematical Physics, 2002
- Pseudo-Hermiticity versus PT-symmetry. II. A complete characterization of non-Hermitian Hamiltonians with a real spectrumJournal of Mathematical Physics, 2002
- Pseudo-Hermiticity versus PT symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian HamiltonianJournal of Mathematical Physics, 2002
- Real Spectra in Non-Hermitian Hamiltonians HavingSymmetryPhysical Review Letters, 1998
- Quasi-Hermitian operators in quantum mechanics and the variational principleAnnals of Physics, 1992