Title: Bose-Einstein condensation, quantum many-body systems, and a central limit theorem
Speaker: Kay Kirkpatrick
Speaker Info: UIUC
Brief Description:
Special Note:
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.Date: Monday, March 26, 2012