BIORTHOGONAL QUANTUM MECHANICS FOR NON-HERMITIAN MULTIMODE AND MULTIPHOTON JAYNES–CUMMINGS MODELS

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AuteurHOUNGUEVOU, JEAN V
AuteurDOSSA, FINAGNON ANSELME
AuteurAVOSSEVOU, GABRIEL YVES HUGUES
Date d'ajout2026-06-02T16:06:57Z
Date de disponibilite2026-06-02T16:06:57Z
Date de publication2017
ResumeWe develop a biorthogonal formalism for non-Hermitian multimode and multiphoton Jaynes–Cummings models. For these models, we define supersymmetric generators, which are especially convenient for diagonalizing the Hamiltonians. The Hamiltonian and its adjoint are expressed in terms of supersymmetric generators having the Lie superalgebra properties. The method consists in using a similarity dressing operator that maps onto spaces suitable for diagonalizing Hamiltonians even in an infinite-dimensional Hilbert space. We then successfully solve the eigenproblems related to the Hamiltonian and its adjoint. For each model, the eigenvalues are real, while the eigenstates do not form a set of orthogonal vectors. We then introduce the biorthogonality formalism to construct a consistent theory.
DOI10.1134/S0040577917100051
Autre identifiantBECDB-6647
URIhttps://dspace.uac.bj/handle/123456789/6042
Languefr
Fait partie deTheoretical and Mathematical Physics
Sujetnon-Hermitian multimode Jaynes–Cummings Hamiltonians
Sujetnon-Hermitian multiphoton
SujetJaynes–Cummings Hamiltonians
SujetLie superalgebra
Sujetsimilarity transformation
Sujetbiorthogonal quantum mechanics
TitreBIORTHOGONAL QUANTUM MECHANICS FOR NON-HERMITIAN MULTIMODE AND MULTIPHOTON JAYNES–CUMMINGS MODELS
TypeArticle

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