Hamiltonian chaos in a coupled BEC -- optomechanical cavity system

TL;DR

This paper investigates a hybrid optomechanical system with a BEC in a cavity, revealing Hamiltonian chaos arising from the nonlinear interactions among the optical field, mirror, and condensate side-mode.

Contribution

It demonstrates the emergence of Hamiltonian chaos in a coupled BEC-optomechanical cavity system under bistable conditions, highlighting complex nonlinear dynamics.

Findings

System exhibits bistability in optical, mechanical, and condensate modes.

Hamiltonian chaos occurs for specific initial conditions.

The interplay leads to complex nonlinear behavior in the system.

Abstract

We study a hybrid optomechanical system consisting of a Bose-Einstein condensate (BEC) trapped inside a single-mode optical cavity with a moving end-mirror. The intracavity light field has a dual role: it excites a momentum side-mode of the condensate, and acts as a nonlinear spring that couples the vibrating mirror to that collective density excitation. We present the dynamics in a regime where the intracavity optical field, the mirror, and the side-mode excitation all display bistable behavior. In this regime we find that the dynamics of the system exhibits Hamiltonian chaos for appropriate initial conditions.