Kay Kirkpatrick
University of Illinois at Urbana-Champaign
Title: Bose-Einstein condensation, the NLS, and a central limit theorem

Abstract: Near absolute zero, a gas of quantum particles can condense into an unusual state of matter, called Bose-Einstein condensation (BEC), that behaves like a giant quantum particle. The rigorous connection has recently been made between the physics of the microscopic many- body dynamics and the mathematics of the macroscopic model, the cubic nonlinear Schrodinger equation (NLS). I'll discuss recent progress with Gerard Ben Arous and Benjamin Schlein on a central limit theorem for the quantum many-body systems, a step towards large deviations for Bose-Einstein condensation.

©2013, Department of Mathematical Sciences
Last Modified: March 18, 2013