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Dynamical modelling of nonequilibrium condensates

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Partial Differential Equations in Kinetic Theories

Quasiparticles in semiconductors— such as microcavity polaritons— can form condensates in which the steady-state density profile is set by the balance of pumping and decay. We model trapped, pumped, decaying condensates by a complex Gross-Pitaevskii equation. By taking account of the polarization degree of freedom for such condensates, and considering the effects of an applied magnetic field, it is possible to study the interplay between polarization dynamics, and the spatial structure of the pumped decaying condensate. Interactions between the spin components can influence the dynamics of vortices; produce stable complexes of vortices and rarefaction pulses with both co- and counter-rotating polarizations; and increase the range of possible limit cycles for the polarization dynamics, with different attractors displaying different spatial structures.

This talk is part of the Isaac Newton Institute Seminar Series series.

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