Title: Large Deviation Principles for Bosonic Random Permutations

Speaker: Matthew Dickson (University of Warwick)

Abstract: Bosons are quantum particles whose collective wave-functions are symmetricunder the transposition of particles. By using the Feynman-Kac formulae,boson gases can be described by random “loop soups.” These are marked point processes where the marks are random continuous paths that return to their origin after prescribed integer parameter times. We will describe the empirical cycle counts using large deviation techniques, and see how the famous Bose-Einstein condensation (BEC) phenomena manifests itself from this perspective. Large deviation analysis will also allow us to derive the thermodynamic pressure for a cycle-HYL model based upon a hard-sphere interaction approximation derived by Huang, Yang and Luttinger. We also derive the condensate density for this interacting model.

Time: Tuesday, 10 September 2019, 2:30pm

Location: Lecture Room, 1st Floor, School of Theoretical Physics, DIAS,
10 Burlington Road, Dublin 4