Nonlinear coherent state generation in the two-photon Jaynes-Cummings model

@inproceedings{Prieto2014NonlinearCS,
  title={Nonlinear coherent state generation in the two-photon Jaynes-Cummings model},
  author={Iv{\'a}n Prieto and B. M. Rodr'iguez-Lara and H{\'e}ctor Manuel Moya-Cessa},
  year={2014}
}
Jaynes-Cummings model I. Ramos Prieto, B. M. Rodŕıguez-Lara, ∗ and H. M. Moya-Cessa Instituto Nacional de Astrof́ısica, Óptica y Electrónica Calle Luis Enrique Erro No. 1, Sta. Ma. Tonantzintla, Pue. CP 72840, México Abstract We show that the two-photon Jaynes-Cummings model, feasible of experimental realization in cavity or ion-trap quantum electrodynamics, can approximately produce nonlinear coherent states of the field. We introduce these nonlinear coherent states of the field as 2m-photon… 
5 Citations

Figures from this paper

Photon-added coherent states using the continuous-mode formalism
The addition of a photon into the same mode as a coherent state produces a nonclassical state that has interesting features, including quadrature squeezing and a sub-Poissonian photon-number
Construction of deformed photon-added nonlinear coherent states with negative m for the one-mode field in a Kerr medium
ABSTRACT In this paper, based on the nonlinear coherent states formalism and using the Hamiltonian for a single mode field in a Kerr medium, the deformed photon-added nonlinear coherent states with
Exact analysis of the spectral properties of the anisotropic two-bosons Rabi model
We introduce the anisotropic two-photon Rabi model in which the rotating and counter rotating terms enters along with two different coupling constants. Eigenvalues and eigenvectors are studied with
Approximate Evolution for A Hybrid System—An Optomechanical Jaynes-Cummings Model
TLDR
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.

References

SHOWING 1-10 OF 33 REFERENCES
Periodicity, phase, and entropy in models of two-photonresonance
The excitation of Rydberg atom transitions by submillimeter-wavelength radiation in high-Q cavities forms the basis of the micromaser. The excitation dynamics of a micromaser is known to be dependent
Photon-added nonlinear coherent states for a one-mode field in a Kerr medium
We construct deformed photon-added nonlinear coherent states (DPANCSs) by application of the deformed creation operator upon the nonlinear coherent states obtained as eigenstates of the deformed
Dynamical squeezing of photon-added coherent states
We study the dynamical squeezing of the photon-added coherent state ~PACS! due to a time dependence of the frequency of the electromagnetic field oscillator in a cavity or a vibrational frequency of
Nonclassical properties of states generated by the excitations on a coherent state.
  • Agarwal, Tara
  • Medicine
    Physical review. A, Atomic, molecular, and optical physics
  • 1991
Adding and subtracting energy quanta of the harmonic oscillator
We propose a scheme to add/subtract excitations to/from an arbitrary quantum state or the harmonic oscillator. The method displaces the photon-number distribution and leaves its shape unchanged for a
Photon-added state preparation via conditional measurement on a beam splitter
We show that conditional output measurement on a beam splitter may be used to produce photon-added states for a large class of signal-mode quantum states, such as thermal states, coherent states,
Single-photon excitation of a coherent state: Catching the elementary step of stimulated light emission
When a single quantum of electromagnetic field excitation is added to the same spatiotemporal mode of a coherent state, a new field state is generated that exhibits intermediate properties between
Non-Gaussianity of quantum states: An experimental test on single-photon-added coherent states
(Received 18 October 2010; published 28 December 2010)Non-Gaussian states and processes are useful resources in quantum information with continuous variables.An experimentally accessible criterion
Quantum-to-Classical Transition with Single-Photon-Added Coherent States of Light
TLDR
The experimental generation of single-photon–added coherent states and their complete characterization by quantum tomography are reported and allow one to witness the gradual change from the spontaneous to the stimulated regimes of light emission.
Optical Coherence and Quantum Optics
Preface 1. Elements of probability theory 2. Random (or stochastic) processes 3. Some useful mathematical techniques 4. Second-order coherence theory of scalar wavefields 5. Radiation from sources of
...
...