Extended Jaynes–Cummings models and (quasi)-exact solvability
Yves Brihaye, Ancilla Nininahazwe
The original Jaynes–Cummings model is described by a Hamiltonian which is Hermitian and exactly solvable. Here, we extend this model by several types of interactions leading to a non-Hermitian operator which does not satisfy the physical condition of spacetime reflection symmetry ( PT symmetry). The new Hamiltonians are either exactly solvable admitting an entirely real spectrum or quasi-exactly solvable with a real algebraic part of their spectrum.
arXiv:quant-ph/0506249•Journal of Physics A Mathematical and General•Jul 19, 2006•10 citations