Pseudo invariant eigenoperator method for some generalized Jaynes-Cummings models

DOI10.1007/s10773-009-0104-0zbMath1187.81226OpenAlexW2127423075MaRDI QIDQ849096

Heng-Mei Li, Hong-Yi Fan

Publication date: 24 February 2010

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-009-0104-0

zbMATH Keywords

energy gapJaynes-Cummings modelpseudo invariant eigenoperator

Mathematics Subject Classification ID

Quantum optics (81V80) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Lasers, masers, optical bistability, nonlinear optics (78A60)

Related Items (4)

The generalized thermo Jaynes-Cummings model and its energy spectrum ⋮ Energy formulas for three quantum Brownian motion models obtained with the IEO method ⋮ Exact solution for a multiphoton generalized Jaynes-Cummings model with inverse operators ⋮ Jaynes-Cummings Hamiltonian describing an atomic four-level double \(\Lambda \) configuration diagonalized by virtue of supersymmetric transformation

Cites Work

• Invariant `eigen-operator' of the square of Schrödinger operator for deriving energy-level gap
• PSEUDO-INVARIANT EIGEN-OPERATOR METHOD FOR TWO GENERALIZED JAYNES–CUMMINGS MODELS
• A two-parameter deformation of the Jaynes-Cummings model: path integral representation
• Solving a coupled-channel cavity QED model using supersymmetric unitary transformation
• Invariant eigenoperators and energy gap for some Hamiltonians describing photonic nonlinear interaction

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