Cavity Optomechanics with a Bose-Einstein Condensate: Normal Mode Splitting

TL;DR

This paper investigates the phenomenon of normal mode splitting in a cavity optomechanical system with a Bose-Einstein condensate, analyzing how the coupling affects the hybridization of optical and condensate modes.

Contribution

It provides a detailed analysis of normal mode splitting in BEC-cavity systems, highlighting the dependence on coupling strength and its manifestation in the transmission spectrum.

Findings

Normal mode splitting occurs only at strong coupling.

Splitting vanishes with weak coupling.

Transmission spectrum reveals hybridization effects.

Abstract

We study the normal mode splitting in a system consisting of a Bose Einstein condensates (BECs) trapped inside a Fabry Perot cavity driven by a single mode laser field. We analyze the variations in frequency and damping rate of the collective density excitation of a BEC imparted by the optical field. We study the occurrence of normal mode splitting which appears as consequences of the hybridization of the fluctuations of the intracavity field and the condensate mode. It is shown that normal mode splitting vanishes for weak coupling between the condensate mode and the intracavity field. Moreover, we investigate the normal mode splitting in the transmission spectrum of the cavity field.