<p>This work investigates the photonic spin hall shift is controlled within a dielectric medium influenced by the Kerr nonlinearity effect. The incoming light beams interacts with cavity that contains four-level atomic system. The spin hall shift is tuned to exhibit positive or negative values, depending on the parameters of applied driving fields. The spin hall shift reaches its peak value of <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$ \pm 57.2\lambda \le \alpha ^{L,R}_{p} \le \pm 58\lambda $</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo>±</mo> <mn>57.2</mn> <mi>λ</mi> <mo>≤</mo> <msubsup> <mi>α</mi> <mi>p</mi> <mrow> <mi>L</mi> <mo>,</mo> <mi>R</mi> </mrow> </msubsup> <mo>≤</mo> <mo>±</mo> <mn>58</mn> <mi>λ</mi> </mrow> </math></EquationSource> </InlineEquation>, when influenced by the Rabi frequency of the control field (<InlineEquation ID="IEq2"> <EquationSource Format="TEX">$\zeta _{2}$</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>ζ</mi> <mn>2</mn> </msub> </math></EquationSource> </InlineEquation>= 8 <InlineEquation ID="IEq3"> <EquationSource Format="TEX">$\Gamma $</EquationSource> <EquationSource Format="MATHML"><math> <mi mathvariant="normal">Γ</mi> </math></EquationSource> </InlineEquation> and 50 <InlineEquation ID="IEq4"> <EquationSource Format="TEX">$\Gamma $</EquationSource> <EquationSource Format="MATHML"><math> <mi mathvariant="normal">Γ</mi> </math></EquationSource> </InlineEquation>). Conversely, minimum value of the spin hall shift is recorded within the range of <InlineEquation ID="IEq5"> <EquationSource Format="TEX">$ \pm 18.858\lambda \le \alpha ^{L,R}_{p} \le \pm 18.868\lambda $</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo>±</mo> <mn>18.858</mn> <mi>λ</mi> <mo>≤</mo> <msubsup> <mi>α</mi> <mi>p</mi> <mrow> <mi>L</mi> <mo>,</mo> <mi>R</mi> </mrow> </msubsup> <mo>≤</mo> <mo>±</mo> <mn>18.868</mn> <mi>λ</mi> </mrow> </math></EquationSource> </InlineEquation> which is a function of the control field phase (<InlineEquation ID="IEq6"> <EquationSource Format="TEX">$\phi _{2}$</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>ϕ</mi> <mn>2</mn> </msub> </math></EquationSource> </InlineEquation>= 0.4 radian, 2.5 radian and 1.5 radian). These findings have useful applications in sensing technology, quantum information processing and optical communication systems. </p>

Photonic spin Hall shift manipulation using the Kerr nonlinearity effect

期刊论文
发表日期：

2026年1月9日

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

摘要

This work investigates the photonic spin hall shift is controlled within a dielectric medium influenced by the Kerr nonlinearity effect. The incoming light beams interacts with cavity that contains four-level atomic system. The spin hall shift is tuned to exhibit positive or negative values, depending on the parameters of applied driving fields. The spin hall shift reaches its peak value of $ \pm 57.2\lambda \le \alpha ^{L,R}_{p} \le \pm 58\lambda $ $\pm 57.2 λ \leq α_{p}^{L, R} \leq \pm 58 λ$ , when influenced by the Rabi frequency of the control field ( $\zeta _{2}$ $ζ_{2}$ = 8 $\Gamma $ $Γ$ and 50 $\Gamma $ $Γ$ ). Conversely, minimum value of the spin hall shift is recorded within the range of $ \pm 18.858\lambda \le \alpha ^{L,R}_{p} \le \pm 18.868\lambda $ $\pm 18.858 λ \leq α_{p}^{L, R} \leq \pm 18.868 λ$ which is a function of the control field phase ( $\phi _{2}$ $ϕ_{2}$ = 0.4 radian, 2.5 radian and 1.5 radian). These findings have useful applications in sensing technology, quantum information processing and optical communication systems.