• Photonics Research
  • Vol. 11, Issue 4, 610 (2023)
Xiaoxuan Luo1, Yin Cai1,2, Xin Yue1, Wei Lin1..., Jingping Zhu1, Yanpeng Zhang1 and Feng Li1,*|Show fewer author(s)
Author Affiliations
  • 1Key Laboratory for Physical Electronics and Devices of the Ministry of Education & Shaanxi Key Laboratory of Information Photonic Technique, School of Electronic Science and Engineering, Faculty of Electronic and Information Engineering, Xi’an Jiaotong University, Xi’an 710049, China
  • 2e-mail: caiyin@xjtu.edu.cn
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    DOI: 10.1364/PRJ.478364 Cite this Article Set citation alerts
    Xiaoxuan Luo, Yin Cai, Xin Yue, Wei Lin, Jingping Zhu, Yanpeng Zhang, Feng Li, "Non-Hermitian control of confined optical skyrmions in microcavities formed by photonic spin–orbit coupling," Photonics Res. 11, 610 (2023) Copy Citation Text show less

    Abstract

    Optical skyrmions formed by photonic spin–orbit (SO) coupling are of significant interest in high-dimensional optical information processing. We report the formation mechanism and non-Hermitian properties of skyrmion-like states in a circular confinement potential with photonic SO coupling, which is preferably realized in a concave-planar microcavity system. We show that the effective photonic gauge field leads to two split manifolds of degenerate skyrmions whose spin textures can be controlled via the non-Hermitian properties by introducing circularly polarized gain and loss, exhibiting dramatically discrepant evolutions at the two sides of the exceptional point (EP). Furthermore, the lifetime degeneracy can be lifted by spatially inhomogeneous pumping according to the non-Hermitian mechanism, enabling the possibility for the skyrmion laser. By introducing shape asymmetry of the confinement potential, a double EP evolution can be achieved, which allows non-Hermitian control of the SO coupled states with higher degrees of freedom. These results open the way for the non-Hermitian control of photonic spin in confined systems, which would be of great significance for the fundamentals of advanced optical information processing.
    H^=(2k22m+Vβk2e2iφβk2e2iφ2k22m+V),

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    σ+=(10)T,

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    σ=(01)T,

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    LG1,0σ+=α[1α2(x2+y2)]πeα2(x2+y2)2(10),(2a)

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    LG1,0σ=α[1α2(x2+y2)]πeα2(x2+y2)2(01),(2b)

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    LG0,2σ+=α3(x+iy)22πeα2(x2+y2)2(10),(2c)

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    LG0,2σ=α3(x+iy)22πeα2(x2+y2)2(01),(2d)

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    LG0,2σ+=α3(xiy)22πeα2(x2+y2)2(10),(2e)

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    LG0,2σ=α3(xiy)22πeα2(x2+y2)2(01),(2f)

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    H^1=(00022α2β00000022α2β000000022α2β00000022α2β0000000000),

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    Ei=22α2β,(4a)

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    Eii=0,(4b)

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    Eiii=22α2β,(4c)

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    Ψia=12LG1,0σ+12LG0,2σ,(5a)

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    Ψib=12LG1,0σ+12LG0,2σ+,(5b)

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    Ψiia=LG0,2σ+,(5c)

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    Ψiib=LG0,2σ,(5d)

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    Ψiiia=12LG1,0σ+12LG0,2σ,(5e)

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    Ψiiib=12LG1,0σ+12LG0,2σ+.(5f)

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    H^=(2k22m+V+iρβk2e2iφβk2e2iφ2k22m+Viρ),

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    H^1=(iρ22α2β0022α2βiρ0000iρ22α2β0022α2βiρ),

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    H^=(iρμ1μ2iρ),

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    Ei=μ1μ2ρ2,(9a)

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    ψi=1μ22+μ1μ2(iρ+μ1μ2ρ2μ2),(9b)

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    Eii=μ1μ2ρ2,(9c)

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    ψii=1μ22+μ1μ2(iρμ1μ2ρ2μ2).(9d)

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    ψi=1μ22+μ1μ2(μ1μ2exp(iarctanρμ1μ2ρ2)μ2),

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    ψi=1μ22+μ1μ2(i(ρ+ρ2μ1μ2)μ2).

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    H^=(2k22m+V+iρeσ2(x2+y2)2βk2e2iφβk2e2iφ2k22m+Viρeσ2(x2+y2)2),

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    H^1=(2iα2ρ(4α4+σ4)(2α2+σ2)322α2β0022α2β8iα6ρ(2α2+σ2)300008iα6ρ(2α2+σ2)322α2β0022α2β2iα2ρ(4α4+σ4)(2α2+σ2)3),

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    Eia=22β(α2A2B2+iρα2σ4A),(14a)

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    Ψia=iB+A2B2A2+B2LG1,0σ++AA2+B2LG0,2σ,(14b)

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    Eib=22β(α2A2B2iρα2σ4A),(14c)

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    Ψib=iB+A2B2A2+B2LG0,2σ++AA2+B2LG1,0σ,(14d)

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    Eiiia=22β(α2A2B2+iρα2σ4A),(14e)

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    Ψiiia=iBA2B2A2+B2LG1,0σ++AA2+B2LG0,2σ,(14f)

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    Eiiib=22β(α2A2B2iρα2σ4A),(14g)

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    Ψiiib=iBA2B2A2+B2LG0,2σ++AA2+B2LG1,0σ,(14h)

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    H^1=(i10ρ2722α2βmω2δ2α2022α2βi8ρ270mω2δ2α2mω2δ2α20i8ρ2722α2β0mω2δ2α222α2βi10ρ27),

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    s=14πσn(nx×ny)dxdy,(B1)

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    s=qm,(B2)

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    Xiaoxuan Luo, Yin Cai, Xin Yue, Wei Lin, Jingping Zhu, Yanpeng Zhang, Feng Li, "Non-Hermitian control of confined optical skyrmions in microcavities formed by photonic spin–orbit coupling," Photonics Res. 11, 610 (2023)
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