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arXiv:2411.17256 · Optics Express

Coherent control of photonic spin Hall effect in a cavity

Muzamil Shah, Shahid Qamar, Muhammad Waseem

Published Aug 28, 2025• 9 citations
arXivHTMLPDF

Abstract

This paper theoretically investigates the manipulation of the photonic spin Hall effect (photonic SHE) using a four-level closed coherent control coupling scheme in a cavity. The atomic system is configured to function as a combined Tripod and Lambda (CTL), Lambda Λ, and N-level model by properly adjusting the control field strengths and their relative phases. The system demonstrates multiple transparency windows in the CTL configuration, allowing the tunable photonic SHE to be used over a wider range of probe field detuning. At probe field resonance under the condition of electromagnetic induced transparency (EIT), the Λ-type system exhibits photonic SHE similar to the CTL system, showing a maximum upper limit of photonic SHE equal to half of the incident beam waist. This upper limit arises due to zero absorption and dispersion. Control field strengths and atomic density do not influence photonic SHE at resonance for both atomic configurations. Our findings reveal that atomic density and strength of control fields significantly influence photonic SHE in the N-type model at resonance, offering additional control parameters for tuning photonic SHE. Finally, the results are equally valid and applicable to conventional Λ-type and N-type atomic systems, making the findings broadly relevant in cavity atomic systems. The results of angular photonic SHE are also discussed.

DOI
10.1364/oe.569158

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This paper theoretically investigates the manipulation of the photonic spin Hall effect (photonic SHE) using a four-level closed coherent control coupling scheme in a cavity. The atomic system is configured to function as a combined Tripod and Lambda (CTL), Lambda Λ, and N-level model by properly adjusting the control field strengths and their relative phases. The system demonstrates multiple transparency windows in the CTL configuration, allowing the tunable photonic SHE to be used over a wider range of probe field detuning. At probe field resonance under the condition of electromagnetic induced transparency (EIT), the Λ-type system exhibits photonic SHE similar to the CTL system, showing a maximum upper limit of photonic SHE equal to half of the incident beam waist. This upper limit arises due to zero absorption and dispersion. Control field strengths and atomic density do not influence photonic SHE at resonance for both atomic configurations. Our findings reveal that atomic density and strength of control fields significantly influence photonic SHE in the N-type model at resonance, offering additional control parameters for tuning photonic SHE. Finally, the results are equally valid and applicable to conventional Λ-type and N-type atomic systems, making the findings broadly relevant in cavity atomic systems. The results of angular photonic SHE are also discussed.
We theoretically investigate the transverse photonic spin Hall effect (PSHE) in a cavity structure containing a double-tripod (DT) atomic medium. We show that the internal topology of the double-tripod system can be coherently reconfigured through the relative phase of the control fields and the two-photon detuning, leading to qualitatively distinct effective configurations. These structural transformations reshape the transparency bandwidth, absorption spectrum, and dispersive slope, which in turn govern the spin-dependent reflection phase responsible for the PSHE. We demonstrate that large transverse shifts emerge in low-loss dispersive windows and are strongly enhanced near the Brewster angle due to the sensitive dependence of the reflection phase on the optical response. The magnitude, spectral range, and even sign of the spin-dependent displacement can be reversibly tuned by adjusting the phase, detuning, and atomic density. Our results reveal that cavity-assisted DT media provide a reconfigurable platform in which internal quantum interference directly maps to controllable spin–orbit photonic transport.
We propose a four-level tripod atom-light coupling scheme to manipulate the photonic spin Hall effect (PSHE) in the reflected probe light. Our study demonstrates that the tripod configuration enables enhanced PSHE near the Brewster angle upon reflection for the probe field, with significantly stronger transverse shifts at resonance compared to off-resonance conditions. The PSHE shift is maximized when all fields are resonant, aligning with the transparency point of the system, and is notably weaker under off-resonant conditions, where gain effects dominate. Additionally, the tripod scheme enables an enhanced transverse shift for the signal field at resonance, resulting in dual-field PSHE enhancement. This combined enhancement of transverse shift for both probe and signal fields underscores the superiority of the tripod configuration in achieving maximized PSHE shifts, surpassing prior schemes and opening new possibilities for advanced applications in spin-photonic devices.
This paper theoretically investigates the coherent manipulation of the photonic spin hall shift in a four-level dielectric medium. The light beam interacts with cavity having four-level dielectric medium under the Doppler broadening effect. The Doppler broadening effect influences the spin hall shift in atomic media, refers to the enhancement of spin-dependent transverse shifts of light due to the thermal motion of atoms, which broadens the atomic resonance response. The photonic spin hall shift is modified to exhibit either positive or negative values, depending on the applied driving fields. The maximum spin hall shift lies in − 20 λ ≤ S p L , R ≤ 20 λ with an angle of incidence ( θ i = 0.6 radian). The minimum spin hall shift lies in the range ± 9.410 λ ≤ S p L , R ≤ ± 9.435 λ versus control field detuning ( δ 1 = 0 Γ and δ 1 = 1 Γ ). The results are especially valuable in fields like sensing technology, quantum computing and optical communication.
The photonic Spin Hall Effect (SHE) causes a polarization dependent transverse shift of light at an interface. In this paper, we theoretically investigate the microwave controlled photonic SHE and microwave electrometry in a closed-loop ΛΛΛ-type atomic system. At zero probe detuning (Δp=0Δ_p = 0Δp​=0) and relative phase φ=0,πφ=0,πφ=0,π, the photonic SHE magnitude remains at the intrinsic finite beam saturation limit w0/2w_0/2w0​/2, whereas the microwave field shifts its angular position linearly with opposite slopes (signs) for the two phases, enabling differential microwave electric field sensing. At φ=π/2φ=π/2φ=π/2, the photonic SHE magnitude decays exponentially with ΩμΩ_μΩμ​, providing weak microwave electric field sensing. In contrast, at Δp=±ΩcΔ_p = \pm Ω_cΔp​=±Ωc​ (control field coupling), the photonic SHE reaches a maximum of half the incident beam waist when Ωμ≥ΩpΩ_μ \geq Ω_pΩμ​≥Ωp​ and the phase φφφ is optimized. Interestingly, we observed microwave controlled switching of photonic SHE by tuning the relative phase φφφ at an optimized value of ΩμΩ_μΩμ​ and ΩcΩ_{c}Ωc​. Our results may have potential applications in microwave quantum sensing and quantum optical switches based on the photonic SHE.
This study explores the coherent control of the photonic spin hall shift through a configuration involving a four-levels dielectric medium. The probe beam engages with a cavity containing a four-level dielectric medium. By adjusting the parameters of the driving fields, the photonic spin shift can be controlled to exhibit either positive or negative values. The maximum values of the spin hall shift is in the range of [Formula: see text] with the incidence angle ([Formula: see text]= 1.2 radian and 3 radian ) and the minimum values is reported as [Formula: see text] against the probe field detuning ([Formula: see text] and [Formula: see text]). The results hold significant potential for use in fields like sensing devices, spin-based electronics, magnetic storage and quantum information processing.
We study optical bistable behavior of a Rydberg electromagnetically-induced transparency (EIT) atomic medium in a unidirectional optical ring-cavity. Due to strong van del Waal (vdW) interactions between the atoms, both optical nonlinear dispersion and nonlinear absorption coefficients are enhanced substantially. Under the condition of two-photon on resonance, we show that probe one-photon detuning can change the phase of the third order nonlinearity coefficient, which tunes the character of the optical bistability within different ratios of dispersive and absorptive types. This enables the single-photon control over photonic devices for further manipulation of light other than switches and transistors. More interestingly, we predict appearance of a scaling phenomena for optical bistabilities with the factors of coupling Rabi frequency and atomic density. Additionally, we also discuss the influence of the cavity detuning and the mirror transmission coefficient on the optical bistable behavior. The strong bistable feature provides a good ingredient for realizing all-optical logic gate devices in optical computing.