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Main Authors: Din, Ghaisud, Badshah, Fazal, Abbas, Muqaddar, Wang, Yunlong, Wang, Feiran, Zhang, Pei
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2505.02799
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author Din, Ghaisud
Badshah, Fazal
Abbas, Muqaddar
Wang, Yunlong
Wang, Feiran
Zhang, Pei
author_facet Din, Ghaisud
Badshah, Fazal
Abbas, Muqaddar
Wang, Yunlong
Wang, Feiran
Zhang, Pei
contents 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-Hänchen 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.
format Preprint
id arxiv_https___arxiv_org_abs_2505_02799
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Goos-Hanchen Shift and Slow Light Enhancement in a Fixed Cavity: Bose-Einstein Condensate Bogoliubov Modes as Mechanical Oscillators
Din, Ghaisud
Badshah, Fazal
Abbas, Muqaddar
Wang, Yunlong
Wang, Feiran
Zhang, Pei
Optics
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-Hänchen 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.
title Goos-Hanchen Shift and Slow Light Enhancement in a Fixed Cavity: Bose-Einstein Condensate Bogoliubov Modes as Mechanical Oscillators
topic Optics
url https://arxiv.org/abs/2505.02799