# Dynamical critical exponent for the correlation time in the interacting Bose gas

**Project level:** Honours, Summer

Phase transitions are interesting in that they can be divided into a number of universality classes, which are characterized by their critical exponents – how quantities such as correlation lengths and times depend on temperature near the critical point. The interacting Bose gas is in the same universality class as superfluid helium, for which the dynamical critical exponent for the correlation time is unknown. This project will perform simulations of the stochastic Gross-Pitaevskii (SGPE) formalism and use this new computational technique to extract this critical exponent. The SGPE computational method is not much more complicated than numerical solution of the ordinary Schrodinger equation.