Effect of Squeezing on the Atomic and the Entanglement Dynamics in the Jaynes-Cummings Model

TL;DR

This paper studies how mild squeezing of the radiation field affects the atom-field dynamics in the Jaynes-Cummings model, revealing enhanced localization, prolonged atomic coherence, and sub-Poissonian photon statistics.

Contribution

It demonstrates the impact of mild squeezing on atomic and entanglement dynamics, highlighting unique properties absent in coherent or highly squeezed states.

Findings

Photon number distribution becomes localized with mild squeezing

Atomic inversion persists longer under mild squeezing

Mild squeezing induces sub-Poissonian photon statistics

Abstract

The dynamics of the Jaynes-Cummings interaction of a two-level atom interacting with a single mode of the radiation field is investigated, as the state of the field is gradually changed from a coherent state to a squeezed coherent state. The effect of mild squeezing on the coherent light is shown to be striking: the photon number distribution gets localized and it peaks maximally for a particular value of squeezing. The atomic inversion retains its structure for a longer time. The mean linear entropy shows that the atom has a tendency to get disentangled from field within the collapse region and also in the revival region, for mild squeezing. These properties are absent for the case of a coherent state or for an excessively squeezed coherent state. We also elucidate a connection between these properties and the photon statistics of the mildly squeezed coherent state; these states have the minimum variance and are also maximally sub-Poissonian.