On the evolution of superposition of squeezed displaced number states with the multiphoton Jaynes-Cummings model

TL;DR

This paper explores the quantum properties and dynamics of superpositions of squeezed displaced number states within the multiphoton Jaynes-Cummings model, revealing phenomena like revivals, state connections, and generation of cat states.

Contribution

It provides new insights into the evolution of nonclassical states and their properties in the multiphoton JCM, including connections between atomic inversion and Wigner function dynamics.

Findings

Quadrature squeezing exhibits revivals and collapses in three-photon absorption.

Connection between atomic inversion and Wigner function at the origin for odd absorption parameters.

Generation of various cat states through the system.

Abstract

In this paper we discuss the quantum properties for superposition of squeezed displaced number states against multiphoton Jaynes-Cummings model (JCM). In particular, we investigate atomic inversion, photon-number distribution, purity, quadrature squeezing, Mandel $Q$ parameter and Wigner function. We show that the quadrature squeezing for three-photon absorption case can exhibit revivals and collapses typical to those occurring in the atomic inversion for one-photon absorption case. Also we prove that for odd number absorption parameter there is a connection between the evolution of the atomic inversion and the evolution of the Wigner function at the origin in phase space. Furthermore, we show that the nonclassical states whose the Wigner functions values at the origins are negative will be always nonclassical when they are evolving through the JCM with even absorption parameter. Also we demonstrate that various types of cat states can be generated via this system.