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Extended Jaynes-Cummings models and (quasi)-exact solvability

Y. Brihaye·A. Nininahazwe
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Abstract

The original Jaynes-Cummings model is described by a Hamiltonian which is exactly solvable. Here we extend this model by several types of interactions leading to a nonhermitian operator which doesn't satisfy the physical condition of space-time reflection symmetry (PT symmetry). However the new Hamiltonians are either exactly solvable admitting an entirely real spectrum or quasi exactly solvable with a real algebraic part of their spectrum.

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Y. Brihaye, A. Nininahazwe. 2006-03-16. Extended Jaynes-Cummings models and (quasi)-exact solvability. https://doi.org/10.1088/0305-4470/39/31/011

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