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Dynamics of Bose-Einstein Condensates

Mathematical Physics & Probability

Speaker: Benjamin Schlein, UC Davis
Location: 1147 MSB
Start time: Tue, Oct 24 2006, 2:10PM

Bose-Einstein condensates have recently been observed for the first time in experiments: these are states of many body quantum systems, where all the particles are described by the same one-particle wave function, the so called condensate wave function. In this talk I am going to show, starting from microscopic many body quantum dynamics, that the time evolution of the condensate wave function can be described by a cubic nonlinear Schroedinger equation known as the Gross-Pitaevskii equation.