Dynamics of entanglement in a two-mode nonlinear Jaynes-Cummings mode

TL;DR

This paper investigates the time evolution of entanglement between a two-level atom and a quantized electromagnetic field in a nonlinear Kerr medium, revealing how nonlinearity and initial states influence quantum dynamics.

Contribution

It provides an exact analytical solution for a deformed Jaynes-Cummings model with intensity-dependent interaction in a Kerr medium, extending analysis to two-mode fields.

Findings

Entanglement dynamics depend on initial field states and nonlinearity.

Exact solutions reveal the influence of detuning and nonlinearity on population inversion.

Two-mode interactions show distinct entanglement behavior compared to single-mode cases.

Abstract

Dynamics of entanglement due to intensity-dependent interaction between a two-level atom and a single-mode electromagnetic field in a Kerr medium is studied. The form of the interaction is such that the Hamiltonian evolution is exactly solvable. The Hamiltonian is shown to be a deformed Jaynes-Cummings model admitting a closed, symmetric algebra. Dynamics of population inversion and atom-field entanglement are studied taking the initial state of the field to be either a coherent state or a squeezed vacuum. Analysis is extended to the case of a two-mode cavity field interacting with a two-level atom. For the two-mode case, the initial field is a pair coherent state or a two-mode squeezed vacuum. Effects due to nonlinearity, intensity-dependent interaction and detuning on the dynamics are discussed and compared with those of the single-mode case.