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arXiv:2502.10806

Optomechanically induced transparency in Four-wave mixing atomic ensemble assisted Laguerre-Gaussian vortex cavity system

Yue Hao, Yi-Mou Liu

Published Feb 15, 2025• 0 citations
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Abstract

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 $(Δ\ell\hbar)$ from the atomic component throughout the four-wave mixing (FWM) process. The resulting loop phase ($Δ\ellθ$) 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 $Δ\ell$. 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.

DOI
10.48550/arxiv.2502.10806

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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.
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.
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.
In recent years, due to the rapid development of nano science and advanced semiconductor technology, one is able to observe more significant quantum optomechanical effects as optomechanical system turns smaller in size. Optomechanically induced transparency, fast and slow light, optical storage as well as other quantum optical and nonlinear optical effects have become the focus of research. On the other hand, the optomechanical systems coupled to other small subsystems (such as atoms, quantum dots, single electron transistors, etc.) also attract great attention in research. This is because the coupling system has not only provided more degrees of freedom for quantum manipulation, but also opened up more channels for classical and quantum information transfer. In this paper we study the optomechanically induced transparency and fast/slow light phase control in atom-assisted optomechanical cavity. Unlike the traditional systems, in this model the mechanical resonator is directly driven by a weak auxiliary driving field. We therefore find that with the change of amplitude ratio and phase difference between the auxiliary driving field and the probe field, the absorption and dispersion properties of the whole system and the group delay time vary accordingly. In the absence of auxiliary field, we observe the spectral features of the hybrid electromagnetically induced transparency and optomechanically induced transparency (OMIT) in an atom-cavity-oscillator tripartite optomechanical system. When there exists no phase difference between the auxiliary field and the probe field, we find that the membrane resonance absorption is enhanced with the increase of auxiliary field strength at resonance, causing the the optomechanically induced transparency to be suppressed, and therefore we can modify the amplitude of auxiliary field to control the depth of the OMIT window. When keeping amplitude ratio between the auxiliary field and the probe field unchanged, the modification of the phase difference between the auxiliary field and the probe field directly affects the we can not only realize the manipulation of OMIT window depth, but also control the transformation of tunable optical switch among "absorption", "transparent" and "gain" of the system. Therefore, through changing the phase of auxiliary field and probe field, we can not only realize the manipulation of OMIT window depth, but also control the transformation of tunable optical switch among "absorption" , "transparent" and "gain". In the meantime, we find that the system’s group delay time varies periodically with the change of phase difference. It is worth noting that by adjusting the phase difference and the atomic number, we can not only change the magnitude of the group delay, but also realize the conversion between slow light and fast light effect.
Abstract We study the reflected and transmitted output properties of a weak probe field incident upon an optomechanical cavity separated by a membrane oscillator and filled with two-level cold atoms. We find that electromagnetically induced transparency (EIT) and optomechanically induced transparency (OMIT) may simultaneously exist owing to separate cavity–atom coupling and cavity-oscillator coupling, respectively. It is more interesting that the hybrid EIT and OMIT phenomena can be manipulated on demand to exhibit various spectral features on dispersion, transmission, and reflection. In particular, we discover the new hybrid double transparency window (a narrow OMIT dip appearing inside the wide EIT window), analogous to double EIT for a four-level atomic system in inverted-Y configuration. Meanwhile, we can reduce the hybrid EIT–OMIT to a single EIT or OMIT shape by changing the magnitude of the driving field power or the atomic number as desired. Furthermore, by changing the system’s detuning it is possible to change the location and the profile of the EIT, therefore switching the shape of the hybrid EIT–OMIT from symmetric to asymmetric, as well as for the profile to change from a absorption dip-like EIT to dispersion-like EIT in both real and imaginary parts of the output probe field. Also, by modifying system’s detuning we have control over the distribution of the output energy, something difficult to achieve with only one of the sub-systems available.
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.
We theoretically investigate the optomechanically induced transparency (OMIT) phenomenon and the fast and slow light effects of a four-mode optomechanical system with the Kerr medium. The optomechanical system is composed of an array of three single-mode cavities and a mechanical oscillator. The three cavities are a passive cavity, a no-loss-gain cavity and a gain optical cavity, respectively. A Kerr medium is inserted in the passive cavity. We study the influence of the Kerr medium on the stability of the optomechanical system, and find that the stable regime of the optomechanical system can be adjusted by changing the Kerr coefficient. We demonstrate that the phenomenon of optomechanically induced transparency will appear when the Kerr medium exists in the optomechanical system and find that the frequency position of the absorption peak on the left increases linearly with the Kerr coefficient. In addition, we also investigate the fast and slow light effects in this system. The results show that we can control the fast and slow light by adjusting the Kerr coefficient, tunneling strength, and driving field strength. This study has potential application prospects in the fields of quantum optical devices and quantum information processing.