Approximate evolution for a system composed by two coupled Jaynes–Cummings Hamiltonians

  title={Approximate evolution for a system composed by two coupled Jaynes–Cummings Hamiltonians},
  author={I. Ramos-Prieto and Angel Eduardo Liga Paredes and J. R'ecamier and H{\'e}ctor Manuel Moya-Cessa},
  journal={Physica Scripta},
In this work we construct an approximate time evolution operator for a system composed by two coupled Jaynes–Cummings Hamiltonians. We express the full time evolution operator as a product of exponentials and we analyze the validity of our approximations contrasting our analytical results with those obtained by purely numerical methods. 
Approximate Evolution for A Hybrid System—An Optomechanical Jaynes-Cummings Model
This work starts from a phenomenological Hamiltonian built from two known systems: the Hamiltonian of a pumped optomechanical system and the Jaynes-Cummings Hamiltonian, which can be linearized and whose time evolution operator is written in a product form.


Algebraic treatment of the time-dependent Jaynes–Cummings Hamiltonian including nonlinear terms
A generalization of the time-dependent Jaynes–Cummings Hamiltonian is considered including nonlinear terms in the field and/or an intensity-dependent coupling term. Using algebraic methods we find
Effective Hamiltonian theory and its applications in quantum information
This paper presents a useful compact formula for deriving an effective Hamiltonian describing the time-averaged dynamics of detuned quantum systems. The formalism also works for ensemble-averaged
Selective transition and complete revivals of a single two-level atom in the Jaynes–Cummings Hamiltonian with an additional Kerr medium
The Jaynes–Cummings Hamiltonian with deformed operators of the field is considered; as a particular case the Kerr-like medium is obtained via an appropriate deformation function. We find that, for an
Dynamical Casimir Effect in two-atom cavity QED
We study analytically and numerically the dynamical Casimir effect in a cavity containing two stationary 2-level atoms that interact with the resonance field mode via the Tavis-Cummings Hamiltonian.
Single‐Atom Entanglement for a System of Directly Linked Two Cavities in the Presence of an External Classical Field: Effect of Atomic Coherence
The Hamiltonian of a system composed of two standard Jaynes‐Cummings cells connected by the overlap of evanescent cavity fields, which allows photons to hop from the first cavity to the second and
Adiabatic preparation of squeezed states of oscillators and large spin systems coupled to a two-level system
We study a single two-level system coupled resonantly to an oscillator mode or a large spin. By adiabatically turning on a linear driving term on the oscillator or the spin, the eigenstates of the
The Jaynes-Cummings Model
Abstract The Jaynes-Cummings model (JCM), a soluble fully quantum mechanical model of an atom in a field, was first used (in 1963) to examine the classical aspects of spontaneous emission and to
Integrability of the Rabi model.
  • D. Braak
  • Physics
    Physical review letters
  • 2011
A criterion for quantum integrability is proposed which shows that the Rabi model is integrable due to the presence of a discrete symmetry; a generalization with no symmetries is introduced, which is the first example of a nonintegrable but exactly solvable system.
Nonlinear coherent states.
A class of nonlinear coherent states are considered, which are right-hand eigenstates of the product of the boson annihilation operator and a nonlinear function of the number operator, which exhibit nonclassical features such as amplitude squeezing and self-splitting.