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<p>We have studied the weak value amplification in photon number of an Optomechanical system driven by an external laser. Here, photon number acts as system, and the mirror acts as meter. In the weak coupling condition, post selection of the photon number operator enhance the value of mirror displacement. The displacement of the mirror depends on the weak value of the photon number operator (<InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(A_w\)</EquationSource> </InlineEquation>) and on the value of relative phase (<InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\phi\)</EquationSource> </InlineEquation>) between the pre and post selected system states. Amplification of the mirror can be seen for maximum coupling strength (<InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(.25 \Omega _m\)</EquationSource> </InlineEquation>) in weak coupling criteria for optomechanical systems, <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(\Omega _m\)</EquationSource> </InlineEquation> being the mechanical frequency.</p>

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Weak Measurement Amplification in Optomechanical Systems

  • 期刊论文

  • 发表日期：

    2026年1月6日

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  • Manoj Das

摘要

We have studied the weak value amplification in photon number of an Optomechanical system driven by an external laser. Here, photon number acts as system, and the mirror acts as meter. In the weak coupling condition, post selection of the photon number operator enhance the value of mirror displacement. The displacement of the mirror depends on the weak value of the photon number operator ( \(A_w\) ) and on the value of relative phase ( \(\phi\) ) between the pre and post selected system states. Amplification of the mirror can be seen for maximum coupling strength ( \(.25 \Omega _m\) ) in weak coupling criteria for optomechanical systems, \(\Omega _m\) being the mechanical frequency.