Quantization of some generalized Jaynes-Cummings models in a Kerr-like medium

DOI10.1134/S0040577920060082zbMath1445.81075MaRDI QIDQ2193746

A. J. Adanmitonde, F. A. Dossa, Gabriel Y. H. Avossevou

Publication date: 20 August 2020

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

zbMATH Keywords

quantum mechanicsconfluent hypergeometric functionconstant of motioncommuting operatorJaynes-Cummings Hamiltonian

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Quantum optics (81V80) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Supersymmetry and quantum mechanics (81Q60) Superalgebras (17A70) Lasers, masers, optical bistability, nonlinear optics (78A60) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15) Canonical quantization (81S08)

Related Items (1)

Динамика точно решаемой нелинейной модели квантовой электродинамики резонаторов;Dynamics of an exactly solvable model of cavity quantum electrodynamics

Cites Work

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• Multi-photon Rabi model: generalized parity and its applications
• Biorthogonal quantum mechanics for non-Hermitian multimode and multiphoton Jaynes-Cummings models
• Manipulating quantum entanglement with atoms and photons in a cavity
• The supersymmetric Jaynes–Cummings model and its solutions
• Quantum algebra as the dynamical symmetry of the deformed Jaynes-Cummings model
• Factorization: little or great algorithm?
• Darboux transformations of the Jaynes–Cummings Hamiltonian
• Nonlinear supersymmetric quantum mechanics: concepts and realizations
• The exact solution of generalized Dicke models via Susskind–Glogower operators
• Coherence in Spontaneous Radiation Processes

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