Tripartite entanglement dynamics for atom in a two-mode nonlinear cavity

TL;DR

This paper introduces a new model for atom interacting with two nonlinear cavity modes, analyzing tripartite entanglement dynamics and revealing abrupt entanglement termination at specific conditions.

Contribution

The study presents a generalized model incorporating nonlinear couplers and provides analytical insights into entanglement behavior in a tripartite atom-field system.

Findings

Entanglement can abruptly terminate at finite times.

Model generalizes several known atom-field interaction models.

Analytical results agree with numerical simulations for short times.

Abstract

In this communication we introduce a new model which represents the interaction between an atom and two fields injected simultaneously within a cavity including the nonlinear couplers. By using the canonical transformation the model can be regarded as a generalization of several well-known models. We calculate and discuss entanglement between the tripartite system of one atom and the two cavity modes. For a short interaction time, similarities between the behavior based on our solution compared with the other simulation based on a numerical linear algebra solution of the original Hamiltonian with truncated Fock bases for each mode, is shown. For a specific value of the Kerr-like medium defined in this letter, we find that the entanglement, as measured by concurrence, may terminate abruptly in a finite time.