Fluctuation-induced transitions of a bistable driven polariton system in the presence of dampingстатья
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Дата последнего поиска статьи во внешних источниках: 18 июля 2013 г.
Аннотация:Fluctuation-induced transitions from the lower energy state of a
bistable nonlinear driven microcavity oscillator are analyzed beyond the
Fluctuation-Dissipation theorem. The sources of noise are: both
fluctuations of the external pumping and inevitable interaction with the
exciton reservoir in the cavity. We show that finite polariton lifetime
strongly modifies the phase portrait and influences the temporal
parameters of the transition within the bistable regime. To investigate
the transient dynamics of the driven polariton system, three different
approaches are realized: numerical experiment (1), i.e. direct solution
of the quasiclassical dynamic equation for polariton amplitude driven by
an external pump, (2) solution of two dimensional Fokker-Planck-equation
and (3) effective one dimensional Fokker-Planck-equation, obtained
within a low-damping approximation. We show that the escape times
obtained within the numerical experiment and the
2D-Fokker-Planck-equation coincide. In contrast, the one dimensional
Fokker-Planck-approximation fails for large damping parameters due to
strong deviation of the phase trajectories from those obtained within
the low-damping approximation. The range of the ratio between damping
and detuning for which the 1d approximation is valid, is shown to be
smaller than 0.04. Finally, we determine the impact of the fluctuations
on experiments illustrated by the narrowing of the hysteresis cycle