Dynamics of a nonlinear quantum oscillator under non-Markovian pumping

Understand

We consider dynamics of a quantum nonlinear oscillator subjected to non-Markovian pumping.

• Models of this kind can describe formation of exciton-polariton Bose-Einstein condensates in course of stimulated scattering and relaxation of reservoir excitons.
• Using the Markovian embedding techniques, we obtain stochastic differential equations of motion with an additional degree of freedom corresponding to dynamical memory.
• It is shown that the oscillator asymptotically tends to the intrinsically non-Markovian stable fixed point corresponding to constant product of oscillator amplitude and modulo of the memory variable.