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Physical Review A

Optomechanically induced transparency in a Laguerre-Gaussian vortex cavity system assisted by a four-wave-mixing atomic ensemble

Yue-Tong Hao, Yi-Mou Liu

Published Aug 15, 2025• 1 citation
Publisher

Abstract

We investigate the steady-state optical response of a Laguerre-Gaussian vortex cavity system integrated with cold atoms featuring a double-$\mathrm{\ensuremath{\Lambda}}$ energy level structure. Within this hybrid system, the atoms are driven by a cavity mode and three coherent vortex beams, each carrying independent orbital angular momentum. We first check the steady-state output spectrum of the hybrid system in the passive (active) case [without (with) external cavity driving]. Our findings reveal that the optomechanically induced transparency spectrum is modulated by the orbital angular momentum difference $(\mathrm{\ensuremath{\Delta}}\ensuremath{\ell}\ensuremath{\hbar})$ from the atomic component throughout the four-wave-mixing process. The resulting loop phase (${\ensuremath{\ell}}_{\mathrm{\ensuremath{\Theta}}}\ensuremath{\theta}$) can achieve a switching effect on the absorption and gain behavior of the hybrid system for the probe beam. Additionally, the group delay, indicative of fast or slow light phenomena, is also tuned by $\mathrm{\ensuremath{\Delta}}\ensuremath{\ell}$. We further display how the atomic orbital angular momentum modulates the periodicity of the output spot pattern in the hybrid system. This research provides valuable insights into the modulation of optical responses in Laguerre-Gaussian vortex cavity systems.

DOI
10.1103/5ngk-lkqm

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We investigate the steady-state optical response of a Laguerre-Gaussian vortex cavity system integrated with cold atoms featuring a double-ΛΛΛ energy level structure. Within this hybrid system, the atoms are driven by cavity mode and three coherent vortex beams, each carrying independent orbital angular momentum (OAM). We first check the steady-state output spectrum of the hybrid system in the passive/active case (without/with external cavity driving). Our findings reveal that the optomechanically induced transparency (OMIT) spectrum is modulated by the OAM difference (Δℓℏ)(Δ\ell\hbar)(Δℓℏ) from the atomic component throughout the four-wave mixing (FWM) process. The resulting loop phase (ΔℓθΔ\ellθΔℓθ) can achieve a switching effect on the absorption and gain behavior of the hybrid system for the probe beam. Additionally, the group delay, indicative of fast/slow light phenomena, is also tuned by ΔℓΔ\ellΔℓ. We further display how the atomic OAM modulates the periodicity of the output spot pattern in the hybrid system. This research provides valuable insights into the modulation of optical responses in Laguerre-Gaussian vortex cavity systems.
Abstract The theoretical investigation into spatially coherent control over electromagnetically induced transparency is carried out within a hybrid cavity system comprising a three-level atomic configuration, a mechanical resonator, and an optical cavity. The interaction involves driving a composite vortex light (CVL) with a three-level medium. Our findings reveal that the input-output cavity field can be systematically adjusted, resulting in changes to the transmission spectrum of the weak probe light. The transmission spectrum of the output light can be spatially controlled by manipulating the orbital angular momentum of the CVL and through parametric modulation of the system. Our simulations present a flexible approach for managing light-matter interactions in a hybrid optomechanical system.
Abstract We investigate the optical-response properties of a coherent-mechanical pumped optomechanical system (OMS) coupled to a Λ-type three-level atomic ensemble. Due to the optomechanical and the cavity-atom couplings, the optomechanically induced transparency (OMIT) and electromagnetically induced transparency (EIT) phenomena could both be observed from our proposal. In the presence of a coherent mechanical pump, we show that the OMIT behavior of the probe field exhibits a phase-dependent effect, leading to the switch from OMIT to optomechanically induced absorption or amplification, while the feature of EIT remains unchanged. The distinctly different effects of the mechanical pump on OMIT and EIT behavior assure us that the absorption (amplification) and transparency of the output probe field can be simultaneously observed. Moreover, a tunable switch from slow to fast light can also be realized by tuning the phase and amplitude of the mechanical pump. In particular, the presence of the atomic ensemble can further adjust the group delay, providing additional flexibility for achieving the tunable switch.
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Recently, the generation and detection of structured light field have drawn a great deal of attention, due to their importance in high-capacity optical data storage and quantum technology. In this letter, we explore the azimuthal modulation of optical transparency in a four-level double-V type quantum system near a plasmonic nanostructure. A Laguerre-Gaussian beam and the interaction of the system with free-space vacuum modes have been employed to create the phase-dependent absorption of a non-vortex probe field. First, we demonstrate how to identify the azimuthal index associated with the conventional LG beam via measuring the probe absorption so that the phase information of such a beam gets encoded on the spatially-dependent absorption profile with angularly-distributed lobes. Also, a spatially-varying optical transparency can be formed, due to the periodic variation of the absorption spectrum. Then, asymmetrical Laguerre-Gaussian beams are used to extend the selective spatial transparency mechanism to asymmetric spatially-structured windows, allowing for optical manipulation of spatial modes at arbitrary positions. Moreover, we investigate the influence of the asymmetric parameter on the features of the spatial inhomogeneities and show how the beams enable us to imprint the phase information of the orbital angular momentum at a desired position.
Abstract We investigate the phenomenon of optomechanically induced transparency assisted by a hybrid two-cavity optomechanical system. The system consists of two optical cavities and four mechanical resonators, and each optical cavity is filled with two-level atomic ensembles. Our study demonstrates that the characteristics of optomechanically induced transparency vary with different coupling parameters. Specifically, the number of transparent windows increases with the introduction of atomic ensembles and Coulomb interaction. Furthermore, the positions of the transparent points can be manipulated by the coupling parameters. It is found that increasing the Coulomb coupling between mechanical oscillators shifts the transparent points further apart. Furthermore, we also explore the slow/fast light effect by analyzing the phase and group delay of the probe field. Our approach enables the control of multiple optomechanically induced transparency and provides potential applications in quantum information processing.