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

TL;DR

This paper demonstrates how the two-photon Jaynes-Cummings model can generate nonlinear coherent states of the field, which are relevant for quantum optics and quantum information processing.

Contribution

It introduces a method to produce nonlinear coherent states via the two-photon Jaynes-Cummings model, expanding the toolkit for quantum state engineering.

Findings

Feasible experimental realization in cavity or ion-trap QED.

Approximate generation of nonlinear coherent states.

Connection to photon-added and subtracted coherent states.

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 added or subtracted coherent states in terms of raising and lowering field operators, also known as London phase operators or Susskind-Glogower operators.