Goos-Hanchen Shift and Slow Light Enhancement in a Fixed Cavity: Bose-Einstein Condensate Bogoliubov Modes as Mechanical Oscillators

TL;DR

This paper investigates how a Bose-Einstein condensate within a fixed cavity influences slow and fast light phenomena, revealing the effects of OPA gain and coupling on transmission, group delay, and Goos-Hanchen shift.

Contribution

It introduces a novel analysis of BEC Bogoliubov modes as mechanical oscillators affecting light propagation in a cavity with an optical parametric amplifier.

Findings

Increased OPA gain induces Fano-like resonances and enhances transparency.

GHS is sensitive to incident angle and BEC-cavity coupling.

System dynamics significantly affected by coupling strength and OPA gain.

Abstract

In this study, we explore the dynamics of slow and fast light propagation in a system consisting of a Bose-Einstein condensate (BEC) acting as a mechanical oscillator coupled to an optical parametric amplifier (OPA) within a fixed-mirror cavity. The system's response is investigated through a comprehensive analysis of the transmission spectrum, output probe field characteristics (real and imaginary components), group delay, and Goos-H\"anchen shift (GHS). Our findings reveal that variations in the effective coupling strength and the OPA gain have a profound impact on the system's behavior. Specifically, as the OPA gain increases, a Fano-like resonance emerges, enhancing the transparency window and altering the dispersion, which in turn influences the group delay. The GHS is shown to be sensitive to both the incident angle and the BEC-cavity coupling strength. These results offer valuable insights into the intricate interplay between the probe field, the mechanical oscillator, and the amplified modes of the OPA, highlighting the role of these interactions in shaping the propagation of light in such systems.