Coherent Photon Decay in a Nonlinear Medium

Ramón López–Peña, Vladimir I. Man’ko, Giuseppe Marmo +2 more

Amitabh Joshi, Ravinder Rupchand Puri

The collapse-and-revival phenomenon in the population inversion and the time evolution of the quasiprobability Q function of an atom undergoing a two-photon process are investigated when the cavity is supposed to be filled with a Kerr-like medium. An exact expression for the atomic population inversion has been given for a field initially in the coherent state. The closed form of this expression as well as that of the Q function are obtained under the high-field approximation. Also, the tendency toward inhibited decay of the excited state has been explicitly shown. This study reveals how the simultaneous occurrence of two nonlinear processes affects the atomic dynamics.

A. V. Sharypov, A. D. Wilson‐Gordon

We study the generation of paired photons due to the effect of four-wave mixing in an ensemble of pumped two-level systems that decay via an intermediate metastable state. The slow population relaxation of the metastable state creates long-lived coherent population oscillations, leading to a narrowband nonlinear response of the medium which determines the narrow spectral width and long coherence time of the biphotons.

Sergio Cantu, Aditya V. Venkatramani, Wenchao Xu +4 more

Thibault Peyronel

Farshid Jahanbakhsh, Gholamreza Honarasa

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 negative m corresponding to the nonharmonic oscillators are constructed. In addition, some of the nonclassical properties associated with these states such as the Mandel parameter, quadrature squeezing and second-order correlation function are investigated. It is found that the deformed photon-added nonlinear coherent states with negative m for the one-mode field in a Kerr medium are nonclassical states.