Anti-Jaynes-Cummings interaction of a two-level atom with squeezed light: A comparison with the Jaynes-Cummings interaction

TL;DR

This study compares the anti-Jaynes-Cummings and Jaynes-Cummings interactions of a two-level atom with squeezed light, analyzing entanglement, photon statistics, and atomic population dynamics at various squeezing levels.

Contribution

It provides a detailed comparison of AJC and JC interactions with squeezed light, highlighting how squeezing affects entanglement and photon statistics.

Findings

Photon statistics become super-Poissonian at high squeeze parameter r.

Enhanced atomic population revivals occur at high r.

Higher r leads to more rapid oscillations and increased entanglement.

Abstract

We considered the anti-Jaynes-Cummings (AJC) interaction of a two-level atom in an initial ground state interacting with a field mode in an initial squeezed coherent state at arbitrary values of squeeze parameter r and provided the Jaynes-Cummings (JC) interaction as a comparison. We analysed the degree of entanglement (DEM) measured by the von Neumann entropy and the nature of the field quantified by the Mandel Q parameter in relation to the atomic population inversion during the AJC interaction and separately the corresponding JC interaction. We noted in our examples that at r>1.4, photon statistics evolved to super-Poissonian from sub-Poissonian during the respective AJC, JC interactions. Further, for high values of r, the form of the time evolution of atomic population inversion depicted enhanced ringing revivals at the collapse region in comparison to the case of an initial coherent state. What is more, at higher values of r the time evolution of DEM showed more rapid oscillations and recorded higher values, concurrently, an increase in the degree of mixedness.