• Photonics Research
  • Vol. 10, Issue 7, 1640 (2022)
Yuan Zhou1、2, Chang-Sheng Hu2, Dong-Yan Lü1, Xin-Ke Li1, Hai-Ming Huang1, Yong-Chen Xiong1, and Xin-You Lü2、*
Author Affiliations
  • 1School of Mathematics, Physics and Optoelectronic Engineering, Hubei University of Automotive Technology, Shiyan 442002, China
  • 2School of Physics, Huazhong University of Science and Technology, Wuhan 430074, China
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    DOI: 10.1364/PRJ.459794 Cite this Article Set citation alerts
    Yuan Zhou, Chang-Sheng Hu, Dong-Yan Lü, Xin-Ke Li, Hai-Ming Huang, Yong-Chen Xiong, Xin-You Lü. Synergistic enhancement of spin–phonon interaction in a hybrid system[J]. Photonics Research, 2022, 10(7): 1640 Copy Citation Text show less

    Abstract

    An investigation to significantly enhance coupling to nitrogen-vacancy (NV) centers at a single-quanta level is of great interest to further explore its applications in quantum information processing (QIP). This study explores a joint scheme to further enhance NV–phonon coherent coupling with two methods working together in hybrid optomechanical systems. Both methods are mechanics-induced mode field coupling (MFC) that lead, respectively, to the modification of the spatial distribution of the optical field and the mechanical parametric amplification (MPA) realized by modulating the mechanical spring constant in time. With the joint assistance of MFC and MPA, the coherent coupling between the NV spin and one supermode of the mechanical resonators (MRs) can be further significantly enhanced with the rate n¯caver. Several potential applications are also discussed in this work. With the ultimate goal to enhance the coupling to NV spin at a single-quanta level, this attempt may provide a promising spin–phonon platform to implement more active control.
    H^Total=H^1+H^2+H^3,

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    H^effΔσ^z+ΔmSb^0b^0+gg0S2J(b^0+b^0)(a^0σ^+h.c.).

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    H^effΔσ^z+ΔmSb^0b^0+n¯cavgg0S2J(b^0+b^0)σ^x.

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    H^JCIPΛ(b^0σ^++b^0σ^),

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    H^AJCIPΛ(b^0σ^+b^0σ^+).

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    Λn¯cavgg0er4J.

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    H^BlueIPΛ0(σ^b^0a^0+σ^+b^0a^0).

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    H^RedIPΛ0(σ^b^0a^0+σ^+b^0a^0).

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    Λ0=gg0er4J.

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    H^effΔmSb^0b^0+kΛk(b^0+b^0)σ^xk.

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    H^effIPΛ(b^0eiΔmSt+b^0eiΔmSt)J^x.

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    H^effIPk=1NΛk(b^0σ^+k+b^0σ^k).

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    H^effIPΛ(b^0J^++b^0J^),

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    H^mj=p^j22Mj+12k0x^j2+12k1(t)x^j2,(A1)

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    H^mj=ωmb^jb^jΩpcos2ωpt(b^j+b^j)2.(A2)

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    H^mj=Δmb^jb^jΩp2(b^j2+b^j2),(A3)

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    H^1=j=L,R,T[Δmb^jb^jΩp2(b^j2+b^j2)]+Jmb^T(b^L+b^R)+h.c..(A4)

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    H^2=j=L,R,Tωca^ja^j+ωAσ^z+ga^Tσ^+Ja^T(a^L+a^R)+h.c.,(B1)

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    H^3=j=L,R,T{g0a^ja^j[b^jexp(iωpt)+h.c.]},(C1)

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    H^TotalS=H^1S+H^2S+H^3S,(D1)

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    α=Ωp/Δm,ΔmS=Δm(1α2)1/2,4r=ln(1+α)/(1α),g0S=g0ercosωpt,JmS=Jme2r/2.(D2)

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    b^TS=(b^+b^)/2,b^LS=(b^++b^+2b^0)/2,b^RS=(b^++b^2b^0)/2,(D3)

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    H^1S+H^3SΔmSb^0b^0+g0S2x^0(a^Ra^Ra^La^L).(D4)

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    H^TotalS=Δσ^z+ΔmSb^0b^0+Θ^(a^Ra^Ra^La^L)+ga^Tσ^+Ja^T(a^L+a^R)+h.c.,(D5)

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    a^0=r1a^L+r2a^T+r1a^R,a^+=r3a^Lr1a^T+r4a^R,a^=r4a^L+r1a^T+r3a^R,(D6)

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    H^TotalS=Δσ^z+ΔmSb^0b^0+E(a^+a^+a^a^)+gr2a^0σ^+gr1(a^+a^)σ^+h.c..(D7)

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    H^effΔσ^z+ΔmSb^0b^0+gg0S2J(b^0+b^0)(a^0σ^+h.c.).(D8)

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    Yuan Zhou, Chang-Sheng Hu, Dong-Yan Lü, Xin-Ke Li, Hai-Ming Huang, Yong-Chen Xiong, Xin-You Lü. Synergistic enhancement of spin–phonon interaction in a hybrid system[J]. Photonics Research, 2022, 10(7): 1640
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