Rostock 2019 – wissenschaftliches Programm

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Q: Fachverband Quantenoptik und Photonik

Q 4: Quantum Gases (Bosons) I

Q 4.5: Vortrag

Montag, 11. März 2019, 11:45–12:00, S HS 037 Informatik

Partial fermionization---spectral universality in interacting quantum gases — •Quirin Hummel, Juan Diego Urbina, and Klaus Richter — Universität Regensburg, Germany

We study the smoothed density of excited many-body levels in interacting quantum many-body systems. The paramount importance of this object stems from the fact that a large number of degrees of freedom leads to very dense spectra of interacting many-body levels, so that fluctuations become less important. Here we focus on continuous models with interactions of short-range character that are of special importance, but not restricted, to the broad field of cold atom gases. We introduce a novel approach based on cluster expansions that allows accurate analytic predictions for entire interacting spectra at the smooth level, embracing both, integrable as well as non-integrable cases. Most notably, it uncovers so far unrecognized universal features that uniquely relate spectra of systems with very few up to many particles.