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

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

2005-06-29

arxiv.org/abs/quant-ph/0506249v2

Physics

Quantum Physics

16 pages, 3 figures, discussion extended, one section added

Scientific paper

10.1088/0305-4470/39/31/011

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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