Atom-mediated effective interactions between modes of a bimodal cavity

TL;DR

This paper presents a method to engineer effective interactions between two modes in a bimodal cavity using atoms and classical fields, enabling entangled state preparation and enhanced nonlinear interactions.

Contribution

The authors introduce a procedure to generate effective beam-splitter and quadratic interactions in a bimodal cavity system with atoms, and demonstrate entangled state preparation with enhanced nonlinearities.

Findings

Effective beam-splitter and quadratic interactions achieved.

Entangled coherent states can be prepared using nonlinear Hamiltonians.

Nonlinear interaction strength can be increased with multiple atoms.

Abstract

We show a procedure for engineering effective interactions between two modes in a bimodal cavity. Our system consists of one or more two-level atoms, excited by a classical field, interacting with both modes. The two effective Hamiltonians have a similar form of a beam-splitter and quadratic beam-splitter interactions, respectively. We also demonstrate that the nonlinear Hamiltonian can be used to prepare an entangled coherent state, also known as multidimensional entangled coherent state, which has been pointed out as an important entanglement resource. We show that the nonlinear interaction parameter can be enhanced considering N independent atoms trapped inside a high-finesse optical cavity.