<p>In this paper a method is proposed in which the photonic spin hall shift is enhanced by the surface-plasmon resonance. The enhancement of the PSHS through surface plasmon resonance has been extensively examined in a four-level dielectric medium. By coating the silver metal with a high-refractive-index prism and placing a four level dielectric medium on metal surface, the PSHS can be significantly amplified. This results in a substantial transverse displacement of the horizontal polarization state, attributed to the intensified evanescent field at the interface between the dielectric medium and the silver metal surface. 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 are in the range of <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$\pm 34.070\lambda \le Shift_{(L,R)}\le \pm 34.082\lambda $</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo>±</mo> <mn>34.070</mn> <mi>λ</mi> <mo>≤</mo> <mi>S</mi> <mi>h</mi> <mi>i</mi> <mi>f</mi> <msub> <mi>t</mi> <mrow> <mo stretchy="false">(</mo> <mi>L</mi> <mo>,</mo> <mi>R</mi> <mo stretchy="false">)</mo> </mrow> </msub> <mo>≤</mo> <mo>±</mo> <mn>34.082</mn> <mi>λ</mi> </mrow> </math></EquationSource> </InlineEquation> with probe field detuning (<InlineEquation ID="IEq2"> <EquationSource Format="TEX">$D_{p}$</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>D</mi> <mi>p</mi> </msub> </math></EquationSource> </InlineEquation>= 5 G) and the minimum value is reported to be <InlineEquation ID="IEq3"> <EquationSource Format="TEX">$ \pm 10 \lambda $</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo>±</mo> <mn>10</mn> <mi>λ</mi> </mrow> </math></EquationSource> </InlineEquation> against the incidence angle and control field Rabi frequency (<InlineEquation ID="IEq4"> <EquationSource Format="TEX">$\theta _i$</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>θ</mi> <mi>i</mi> </msub> </math></EquationSource> </InlineEquation>= 0.8 rad and <InlineEquation ID="IEq5"> <EquationSource Format="TEX">$R_1$</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>R</mi> <mn>1</mn> </msub> </math></EquationSource> </InlineEquation>= same on all values). These findings have promising applications in areas, such as sensors, spintronics, magnetic data storage, and quantum information technologies.</p>

Surface plasmon resonance enhances the photonic spin hall shift at four-level atomic system

期刊论文
发表日期：

2026年2月2日

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Qaisar Khan,
Ibrahim Al-Dayel,
Meraj Ali Khan,
Majid Khan

摘要

In this paper a method is proposed in which the photonic spin hall shift is enhanced by the surface-plasmon resonance. The enhancement of the PSHS through surface plasmon resonance has been extensively examined in a four-level dielectric medium. By coating the silver metal with a high-refractive-index prism and placing a four level dielectric medium on metal surface, the PSHS can be significantly amplified. This results in a substantial transverse displacement of the horizontal polarization state, attributed to the intensified evanescent field at the interface between the dielectric medium and the silver metal surface. 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 are in the range of $\pm 34.070\lambda \le Shift_{(L,R)}\le \pm 34.082\lambda $ $\pm 34.070 λ \leq S h i f t_{(L, R)} \leq \pm 34.082 λ$ with probe field detuning ( $D_{p}$ $D_{p}$ = 5 G) and the minimum value is reported to be $ \pm 10 \lambda $ $\pm 10 λ$ against the incidence angle and control field Rabi frequency ( $\theta _i$ $θ_{i}$ = 0.8 rad and $R_1$ $R_{1}$ = same on all values). These findings have promising applications in areas, such as sensors, spintronics, magnetic data storage, and quantum information technologies.