• Photonics Research
  • Vol. 10, Issue 4, 989 (2022)
Lingxiao Shan1, Juanjuan Ren1, Qi Zhang1, Qi Liu1、2, Yun Ma1, Qihuang Gong1、2、3、4, and Ying Gu1、2、3、4、*
Author Affiliations
  • 1State Key Laboratory for Mesoscopic Physics, Department of Physics, Peking University, Beijing 100871, China
  • 2Frontiers Science Center for Nano-optoelectronics & Collaborative Innovation Center of Quantum Matter & Beijing Academy of Quantum Information Sciences, Peking University, Beijing 100871, China
  • 3Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan 030006, China
  • 4Peking University Yangtze Delta Institute of Optoelectronics, Nantong 226010, China
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    DOI: 10.1364/PRJ.449106 Cite this Article Set citation alerts
    Lingxiao Shan, Juanjuan Ren, Qi Zhang, Qi Liu, Yun Ma, Qihuang Gong, Ying Gu. Generation and modulation of non-classical light in a strongly coupled photon–emitter system[J]. Photonics Research, 2022, 10(4): 989 Copy Citation Text show less

    Abstract

    Non-classical light, especially its single photon and squeezing properties, plays a fundamental role in on-chip quantum networks. The single photon property has been widely studied in photonic cavities including photonic crystals (PhCs), micropillar cavities, nanowires, and plasmonic cavities. However, the generation and modulation of squeezing light in nanophotonic cavities remain to be explored. Here, we theoretically demonstrate a strongly coupled PhC–plasmonic-emitter system enabling non-classical light generation and modulation. The hybridization of a PhC waveguide and an Ag nanoparticle forms a band-edge mode with a narrow linewidth and a strong confined field, which enables strong light–emitter interaction, further resulting in simultaneous generation of squeezing and single photon properties for on-chip applications. Non-classical light emission can be modulated with the detuning between the band-edge mode and the emitter. The emission is efficiently channeled by the PhC waveguide with a high coupling efficiency, accompanying unidirectional transmission under excitation by a circularly polarized emitter. The system provides a candidate for tunable and bifunctional on-chip non-classical light sources at the nanoscale and may offer more possibilities to build versatile quantum networks.
    ρ˙=i[ρ,H]+γ2(2σρσ+σ+σρρσ+σ)+κ2(2aρaaaρρaa),

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    Heff=(Δciκ/2)aa+(Δaiγ/2)σ+σ+g(aσ++aσ)+E(σ++σ).

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    Δ˜m±=(m1)Δ˜c+Δ˜c+Δ˜a2±12(Δ˜cΔ˜a)2+4mg2,

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    g(2)(0)=a2a2aa2=2|cg2|2|cg1|4=|Δ˜1Δ˜1+Δ˜2Δ˜2+|2,

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    :ΔXθ2:=12Re[e2iθΔa2]+12ΔaΔa=12E2g2Re[e2iθΔ˜c2Δ˜2Δ˜2+Δ˜12Δ˜1+2]+E4g2g2+|Δ˜c|2|Δ˜1Δ˜1+|4.

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    I0=Δa2Δa2/aa2,I1=4Re[aΔaΔa2]/aa2,I2=2|α|2ΔaΔa+α*2Δa2+α2Δa2aa2=|α|2:(Δaeiθ+Δaeiθ)2:aa2=4|α|2:ΔXθ2:aa2.

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    Ξ=12Σ{ω[ωReε(ω)]|ω=ωc|E|2+μ0|H|2}dV.(A1)

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    c˙g0=0,c˙g1=iΔ˜ccg1igce0iEce1iΔ˜ccg1igce0,c˙e0=igcg1iΔ˜ace0iE,c˙g2=2iΔ˜ccg2i2gce1,c˙e1=i2gcg2iEcg1i(Δ˜a+Δ˜c)ce1,(C1)

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    cg1=EgΔ˜aΔ˜cg2,ce0=EΔ˜cΔ˜aΔ˜cg2,cg2=E22g2(Δ˜aΔ˜cg2)[Δ˜c(Δ˜a+Δ˜c)g2],ce1=E2gΔ˜c(Δ˜aΔ˜cg2)[Δ˜c(Δ˜a+Δ˜c)g2].(C2)

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    |Δ˜cΔ˜n±g00gΔ˜aΔ˜n±00002Δ˜cΔ˜n±2gE02gΔ˜c+Δ˜aΔ˜n±|=0,(C3)

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    [Δ˜cggΔ˜a002Δ˜c2gE02gΔ˜c+Δ˜a00Δ˜g,mmgE0mgΔ˜e,m1],(C4)

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    Em±=Δ˜g,m+Δ˜e,m12±(Δ˜g,mΔ˜e,m1)2+4mg22=(2m1)Δ˜c+Δ˜a2±(Δ˜cΔ˜a2)2+mg2.(C5)

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    a2a2=(α*+Δa)2(α+Δa)2=(α*2+2α*Δa+Δa2)(α2+2αΔa+Δa2)=|α|4+2Re[(α*)2Δa2]+4|α|2ΔaΔa+4Re[α*ΔaΔa2]+Δa2Δa2=aa2+(Δa2Δa2ΔaΔa2)+4Re[α*ΔaΔa2]+2|α|2ΔaΔa+{2Re[(α*)2Δa2]},(C6)

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    I0=Δa2Δa2/aa2,I1=4Re[aΔaΔa2]/aa2,I2=2|α|2ΔaΔa+α*2Δa2+α2Δa2aa2=|α|2:(Δaeiθ+Δaeiθ)2:aa2=4|α|2:ΔXθ2:aa2.(C7)

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    I0=|2cg2cg12|2|cg1|4,(C8)

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    I1=4|cg1|6|cg1|4,(C9)

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    I2=2Re[cg1*2(2cg2cg12)]+4|cg1|4(|cg1|2+|ce0|2)|cg1|4.(C10)

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    g(2)(0)=2|cg2|2|cg1|4=|Δ˜1Δ˜1+Δ˜2Δ˜2+|2,(C11)

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    :ΔXθ2:=12Re[e2iθ(2cg2cg12)]+|cg1|2(|cg1|2+|ce0|2)=12E2g2Re[e2iθΔ˜c2Δ˜2Δ˜2+Δ˜12Δ˜1+2]+E4g2g2+|Δ˜c|2|Δ˜1Δ˜1+|4.(C12)

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    Lingxiao Shan, Juanjuan Ren, Qi Zhang, Qi Liu, Yun Ma, Qihuang Gong, Ying Gu. Generation and modulation of non-classical light in a strongly coupled photon–emitter system[J]. Photonics Research, 2022, 10(4): 989
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