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Chaos Solitons & Fractals

Harnessing Doppler broadening for giant photonic spin Hall shifts in an atomic cavity

Fazal Badshah, Dong‐Yan Lü, Yuan Zhou, Anwar Ali Khan, Zeeshan Ali, Ziauddin Ziauddin

Published Oct 9, 2025• 7 citations
Publisher
DOI
10.1016/j.chaos.2025.117392

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•Oct 24, 2017•1 citation
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.
Abstract The magnitude enhancement of the Goos–Hänchen shift (GHS) in reflected light (RL) is investigated. We consider a cavity in which a four-level atomic medium with a double lambda ( )-type configuration is contained. By changing the relative phase of optical fields in the four-level atomic configuration, we obtain normal and anomalous dispersions. Similarly, the manipulation of the positive and negative GHS in the RL is explored via the control of the relative phase. In addition, we investigated the GHS in the RL with and without the Doppler broadening (DB) effect. Interestingly, giant GHS in the RL is revealed for the DB medium. The role of the Doppler width on the magnitude of the GHS in RL is also studied. We find that the magnitude of the negative and positive GHS in the RL increased via increasing the Doppler width.
For realizing optimal performance, knowing the photon absorption cross-section of alkali atoms is significant in a wide range of fields, such as atomic clock, atomic magnetometer and atomic spin gyroscope. By analyzing the pressure broadening and shift, natural broadening and Doppler broadening of the absorption line of 87Rb D1 line, the numerical simulation of photon absorption cross-section of 87Rb D1 line is conducted. Based on the results of numerical simulation, natural broadening is found to be much smaller than pressure broadening and Doppler broadening in general. The pressure broadening becomes the dominant factor of broadening for high pressure of buffer and quenching gases, while the Doppler broadening is dominant for low pressure of buffer and quenching gases. The results of numerical simulation demonstrate that, with the increasing broadening of absorption line, the number of peaks of the photon absorption cross-section decreases from four to one gradually, and the amplitudes of these peaks decline in the meantime.