• Photonics Research
  • Vol. 8, Issue 11, 1783 (2020)
Seyed Mahmoud Ashrafi1、*, Narjes Taghadomi1, Alireza Bahrampour2, and Rasoul Malekfar1
Author Affiliations
  • 1Department of Physics, Tarbiat Modares University, Tehran, Iran
  • 2Department of Physics, Sharif University, Tehran, Iran
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    DOI: 10.1364/PRJ.395738 Cite this Article Set citation alerts
    Seyed Mahmoud Ashrafi, Narjes Taghadomi, Alireza Bahrampour, Rasoul Malekfar. Coupled quantum molecular cavity optomechanics with surface plasmon enhancement: comment[J]. Photonics Research, 2020, 8(11): 1783 Copy Citation Text show less

    Abstract

    We have found an incorrect formula to estimate the root mean square (rms) amplitude of the molecular vibration in the molecular optomechanics systems reported by J. Liu et al. [Photon. Res.5, 450–456 (2017)PRHEIZ2327-912510.1364/PRJ.5.000450]. In contrast with common optomechanical systems, the equilibrium position for molecular optomechanics systems used in the letter cannot be achieved by the equipartition theorem. Here, we achieve the effective temperature of molecules and then provide a corrected formula for the estimation of the rms amplitude of molecular motion. Using defined effective temperature into our new formula, we show that the minimal measurable force is (F1.7×10-14 N), which it is 1 order bigger than the result of the main paper, and it is also in accordance with numerical calculation through the Lindblad master equation.
    H^=δpuc^c^+i=1,2ωia^ia^ii=1,2gic^c^(a^i+a^i)λ(a^1a^2+a^1a^2)+iΩpu(c^c^)+iΩpr(c^eiδtc^eiδt),(1)

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    dρ^dt=1i[H^,ρ^]+Lc^+La^1+La^2,(2)

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    La^i=γi2(n¯i+1)Da^i{ρ^}+γin¯i2Da^i{ρ^},i=1,2,Lc^=κ2Dc^{ρ^},(3)

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    DA^{ρ^}=2A^ρ^A^A^A^ρ^ρ^A^A^,A=c,a1,a2,(4)

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    nieff=a^ia^i=tr(a^ia^iρss),(5)

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    Tieff=ωiKBlog(1+1nieff),i=1,2.(6)

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    xirms=x^i2=2meffωm(a^i+a^i)2,i=1,2,(7)

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    xirms=2meffωm(2nieff+1),i=1,2.(8)

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    xirms=2meffωm[21+exp(ωmKBTieff)+1],i=1,2.(9)

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    xirms=2meffωmcoth(ωm2KBTieff),i=1,2.(10)

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    xirms=KBTieffmeffωm2,i=1,2(11)

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    KBTωm.(12)

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    xirms=2meffωmtr[(a^i+a^i)2ρss],i=1,2.(13)

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    xirms=2meffωm,(14)

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    xirms0.0027  nm.(15)

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    R0.88  nm.(16)

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    FdVintdR=6e24πε0R4x1x21.7×1014  N.(17)

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    Seyed Mahmoud Ashrafi, Narjes Taghadomi, Alireza Bahrampour, Rasoul Malekfar. Coupled quantum molecular cavity optomechanics with surface plasmon enhancement: comment[J]. Photonics Research, 2020, 8(11): 1783
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