Special Session 77: 

Some theoretical studies on the stochastic Gross-Pitaevskii equation

Reika Fukuizumi
Tohoku University
Japan
Co-Author(s):    Anne de Bouard, Arnaud Debussche
Abstract:
After the realization of Bose-Einstein condensation twenty years ago, one of the interests in the theoretical physics community is the modeling of cold atoms systems. In this talk we focus on the model which describes the influence of thermal effects around the Bose Einstein condensate at positive temperature. The model is a stochastic complex Ginzburg-Landau equation under a harmonic trapping potential, We present some theoretical results on the existence of solution and exponential convergence to the thermal equilibrium.