Extended Jaynes-Cummings models and (quasi)-exact solvability
نویسنده
چکیده
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. [email protected] [email protected]
منابع مشابه
Semiclassical Dynamics of the Jaynes-Cummings Model
The semiclassical approximation of coherent state path integrals is employed to study the dynamics of the Jaynes-Cummings model. Decomposing the Hilbert space into subspaces of given excitation quanta above the ground state, the semiclassical propagator is shown to describe the exact quantum dynamics of the model. We also present a semiclassical approximation that does not exploit the special p...
متن کاملDetuning and dipole-dipole interaction effects on the entanglement of two qubits interacting with quantum fields of resonators
We investigate the entanglement dynamics between two dipole-coupled qubits interacting with vacuum or thermal fields of lossless resonators. Double Jaynes-Cummings model and two-atom Jaynes-Cummings model are considered taking into account detuning and direct dipole-dipole interaction. Using the dressed-states technique we derive the exact solutions for models under consideration. The computer ...
متن کاملExactly solvable approximating models for Rabi Hamiltonian dynamics.
The interaction between an atom and a one mode external driving field is an ubiquitous problem in many branches of physics and is often modeled using the Rabi Hamiltonian. In this paper we present a series of analytically solvable Hamiltonians that approximate the Rabi Hamiltonian and compare our results to the Jaynes-Cummings model which neglects the so-called counter-rotating term in the Rabi...
متن کاملη-pseudo-Hermiticity quasi-generators per quasi-exact solvability
Exact solvability of some non-Hermitian η-pseudo-Hermitian Hamiltonians is explored as a byproduct of η-pseudo-Hermiticity generators. A class of Veff (x) = V (x)+iW (x) potentials is considered, where the imaginary part W (x) is used as an η-pseudo-Hermiticity ”quasi-generator” to obtain quasiexactly solvable η-pseudo-Hermitian Hamiltonian models. PACS numbers: 03.65.Ge, 03.65.Fd,03.65.Ca
متن کاملQuantum Inozemtsev model , quasi - exact solvability and N - fold supersymmetry
Inozemtsev models are classically integrable multi-particle dynamical systems related to Calogero-Moser models. Because of the additional q6 (rational models) or sin 2q (trigonometric models) potentials, their quantum versions are not exactly solvable in contrast with Calogero-Moser models. We show that quantum Inozemtsev models can be deformed to be a widest class of partly solvable (or quasi-...
متن کامل