##### Department of Mathematics,

University of California San Diego

****************************

### Math 288 - Probability Seminar

## Kay Kirkpatrick

#### UIUC

## Bose-Einstein condensation and quantum many-body systems

##### 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.

Hosts: Bruce Driver and Todd Kemp

### March 15, 2012

### 10:00 AM

### AP&M 6402

****************************