Electromagnetically Induced Transparencies with Two Transverse Bose-Einstein Condensates in a Four-Mirror Cavity

TL;DR

This paper explores electromagnetically induced transparency phenomena in a system with two transverse Bose-Einstein condensates within a four-mirror optical cavity, revealing novel transparency windows, Fano resonances, and slow light dynamics influenced by atom-cavity interactions.

Contribution

It introduces a new setup with two transverse BECs in a four-mirror cavity to study EIT, Fano resonances, and slow light, demonstrating enhanced effects through increased atom-cavity coupling.

Findings

Two EIT windows appear only when both atomic states are coupled with the cavity.

Increasing atom-cavity coupling enhances the transparency windows and Fano resonances.

The system allows control over slow light dynamics through atomic and cavity interactions.

Abstract

We investigate electromagnetically induced transparencies with two transverse Bose-Einstein condensates in four-mirror optical cavity, driven by a strong pump laser and a weak probe laser. The cavity mode, after getting split from beam splitter, interacts with two independent Bose-Einstein Condensates transversely trapped in the arms of the cavity along $x$-axis and $y$-axis. The interaction of intra-cavity optical mode excites momentum side modes in Bose-Einstein Condensates, which then mimic as two atomic mirrors coupled through cavity field. We show that the probe field photons transition through the atomic mirrors yields to two coupled electromagnetically induced transparency windows, which only exist when both atomic states are coupled with the cavity. Further, the strength of these novel electromagnetically induced transparencies gets increased with an increase in atom-cavity coupling. Furthermore, we investigate the behavior of Fano resonances and dynamics of fast and slow light. We illustrate that the Fano line shapes and dynamics of slow light can be enhanced by strengthening the interaction between atomic states and cavity mode. Our findings not only contribute to the quantum nonlinear optics of complex systems but also provide a platform to test multi-dimensional atomic states in a single system.