Abstract This study conducts a theoretical analysis to examine the characteristics of the output weak probe field in a hybrid Laguerre–Gaussian rovibrational cavity optomechanical system that includes a Λ-type three-level atom. Specifically, this optomechanical system comprises two mirrors: one is stationary, while the other vibrates and rotates simultaneously. The rovibrational mirror, equipped with an external plate, generates the Casimir force (CF). The presence of atom and CFs have effects on the output probe field, and we also investigate how adjusting system parameters can achieve the switching of the number of transparent windows and reveal an interesting finding of multiple (4) transparency windows within a single-cavity system. We believe that our work may have potential for applications in quantum communication systems and multi-channel quantum information processing.
We investigate the steady-state optical response of a Laguerre-Gaussian vortex cavity system integrated with cold atoms featuring a double-
Λ 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) from the atomic component throughout the four-wave mixing (FWM) process. The resulting loop phase (
Δℓθ) 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
Δℓ. 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.
The orbital angular momentum of optical fields, besides the amplitude, frequency, and phase, offers a new degree of freedom to manipulate the light-matter interactions. Here, Fano resonance and slow-to-fast light conversion in a Laguerre-Gaussian rovibrational cavity are investigated. The system consists of a Fabry–Pérot cavity with two spiral phase elements acting as the cavity mirrors, in which one of the spiral phase elements is fixed while the other can vibrate as well as rotate. Fano resonances are observed by adjusting the frequency detuning between the cavity and the driving fields. Double Fano resonances are observed for the Laguerre-Gaussian rovibrational cavity with different vibrational and rotational frequencies. Both the slow and fast light can be achieved with the same setup, which is controlled by the topological charge value and the frequency detuning between the probe and driving fields, thus providing a flexible and effective way to manipulate the slow-to-fast light conversion.