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Abstract
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Based on the f-oscillator formalism, we introduce a nonlinear optomechanical framework
which is constructed from the standard optomechanical system by deforming the singlemode
photonic-field operators. Such a generalized optomechanical system describes an
intensity-dependent interaction of a mechanical oscillator with a single-mode electromagnetic
field. To gain insight into the effectiveness of the non-linearization processes, we
investigate the role of the involving parameters especially the nonlinearity function that controls
the entanglement and statistical properties of the photon-phonon state was considered.
Thus, we apply the linear entropy measure and the Wigner function to quantify the entanglement
and non-classical properties of this composite system and the condition in which
quantum entanglement and negativity of the Wigner function can be enhanced and maximized
has been identified. Thus, depending on an election of the nonlinearity function, one
can observe different non-classical effects. These trends are compared with those obtained
for the standard optomechanical system including photon-phonon interaction, too.
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