[Level3soliden] seminar Viktor Bekassy Friday 4 March 11:00

[Johannes Hofmann]

Dear All,

I would like to point out an informal theory seminar that will take place this Friday 4 March at 11:00 in the von Bahr meeting room. The speaker is Viktor Bekassy from Chalmers University, and he will talk about

title: Non-relativistic conformal invariance in mesoscopic two-dimensional Fermi gases

abstract: Experiments on ultracold atoms offer the exciting possibility to probe quantum gases with exceptional accuracy based on techniques just recently developed. Interactions are tunable, the effective dimensionality of the gas is adjustable, hence making the ability to prepare these cold quantum gases an appealing opportunity to test theoretical predictions.  In this talk, I present the consequences of a joint scale and conformal invariance in mesoscopic two-dimensional Fermi gases at weak interactions; a system that had previously been overlooked since quantum anomaly was assumed to break scale and conformal invariance.  The presented results provide the first concrete evidence for the conformal tower structure in the energy spectrum of a non-relativistic conformally invariant interacting system. Furthermore, the conformal symmetry predicts the hyperradial distribution function of the many-body wavefunctions in closed analytical form which we have confirmed using Metropolis importance sampling. With the current experiments on mesoscopic Fermi gases, our results could directly be testable.

It would be great to see you there!

Best wishes,
Johannes
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