A generalized master equation retaining full nonlinear dynamics in the dissipator produces nonlinear damping, drive-dependent dissipation, suppression of bistability, and asymmetric resonances in driven Kerr oscillators.
Ullersma,An exactly solvable model for Brownian mo- tion: I
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A globally well-defined phenomenological spectral density is proposed for the bath that reproduces near-resonance non-Ohmic power-law behavior, yields a nonlocal mechanical susceptibility with analytic poles encoding the linewidth, and enables reconstruction of the full susceptibility via homodyne-d
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Generalized master equation for driven quantum oscillators: microscopic origin of nonlinear dissipation and asymmetric resonances
A generalized master equation retaining full nonlinear dynamics in the dissipator produces nonlinear damping, drive-dependent dissipation, suppression of bistability, and asymmetric resonances in driven Kerr oscillators.
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Modeling the non-Markovian Brownian motion of an optomechanical resonator
A globally well-defined phenomenological spectral density is proposed for the bath that reproduces near-resonance non-Ohmic power-law behavior, yields a nonlocal mechanical susceptibility with analytic poles encoding the linewidth, and enables reconstruction of the full susceptibility via homodyne-d