A theoretical scheme for generation of Gazeau-Klauder coherent states via intensity-dependent degenerate Raman interaction

TL;DR

This paper proposes a theoretical method to generate Gazeau-Klauder coherent states using intensity-dependent degenerate Raman interactions, transforming initially unstable nonlinear states into stable GKCSs.

Contribution

It introduces a novel theoretical scheme that generalizes degenerate Raman interactions to produce Gazeau-Klauder coherent states from nonlinear initial states.

Findings

Successfully generates GKCS from nonlinear initial states.

Shows that the effective Hamiltonian can replace the original Hamiltonian under certain conditions.

Demonstrates the stability of the generated GKCSs.

Abstract

A theoretical scheme is presented for generating Gazeau-Klauder coherent states(GKCSs) via the generalization of degenerate Raman interaction with coupling constant to intensity-dependent coupling. Firstly, we prove that in the intensity-dependent degenerate Raman interaction, under particular conditions, the modified efective Hamiltonian can be used instead of Hamiltonian in the interaction picture, for describing the atom-field interaction. We suppose that the cavity field is initially prepared in a nonlinear CS, which is not temporally stable. As we will observe, after the occurrence of the interaction between atom and field, the generated state involves a superposition of GKCSs which are temporally stable and initial nonlinear CS. Under specific conditions which may be prepared, the generated state just includes GKCS. So, in this way we produced the GKCS, successfully.