Entanglement for a Bimodal Cavity Field Interacting with a Two-Level Atom

TL;DR

This paper investigates how a two-level atom interacts with a bimodal cavity field, focusing on entanglement influenced by initial states, photon numbers, and Kerr effects, with implications for quantum information processing.

Contribution

It demonstrates the conditions for entanglement generation in a bimodal cavity system, highlighting the roles of initial superposition states, photon number equality, and Kerr medium effects.

Findings

Entanglement requires the atom to be initially in a superposed state.

Equal photon numbers in both cavity modes enhance entanglement.

Kerr medium interaction negatively impacts the entanglement.

Abstract

Negativity has been adopted to investigate the entanglement in a system composed of a two-level atom and a two-mode cavity field. Effects of Kerr-like medium and the number of photon inside the cavity on the entanglement are studied. Our results show that atomic initial state must be superposed, so that the two cavity field modes can be entangled. Moreover, we also conclude that the number of photon in the two cavity mode should be equal. The interaction between modes, namely, the Kerr effect, has a significant negative contribution. Note that the atom frequency and the cavity frequency have an indistinguishable effect, so a corresponding approximation has been made in this article. These results may be useful for quantum information in optics systems.