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Sub-Poissonian photon statistics of an intensely-driven harmonic oscillator in a squeezed vacuum

  • Mohamed M. Hassan,
  • O. M. Frege,
  • Shoukry S. Hassan

摘要

The master equation for a harmonic oscillator (HO) of frequency \(\omega_o\) , driven strongly and resonantly, and dissipated by an ohmic Markovian broadband squeezed vacuum (SV) radiation reservoir is explicitly derived. An intensive driving field with amplitude strength \(\Omega\sim\omega_o\) induces alterations in the strength field: \(\Omega\rightarrow\Omega[1+i\gamma^{\prime}(\omega_o)]\) , where \(\gamma^{\prime}(\omega_o)=\frac{d\gamma(\omega_o)}{d\omega_o}\) with \(\gamma(\omega_o)\) being the damping constant of the HO. Hence, the average values of the system variables are dependent on the spectral density of the radiation reservoir modes, which is determined by the factor \(\gamma^{\prime}(\omega_o)\) . Sub-Poissonian photon statistics of the emitted radiation is identified via the negativity of the Mandel QM factor. In the steady state, isoline contour plots of \(Q_M(\infty)\) in different planes of the SV phase ( \(\varphi\) ) and the ohmic parameters indicate that symmetric regions where \(Q_M(\infty)<0\) are shifted and become asymmetric with respect to \(\varphi=\pi\) in the intense field case (i.e. \(\gamma^{\prime}(\omega_o)\neq0\) ).