Subproject E1

Topological Effects in Low-dimensional Quantum Gases

Ultracold atoms form a highly versatile and powerful platform to investigate quantum many-body systems. Very recent advances in the field have now also enabled to realize and probe topological quantum systems in completely new parameter regimes and using novel, e.g. interferometric methods the recent theoretical and experimental successes in the field to investigate ultracold bososnic and fermionic quantum matter with tunable interactions in topological bands. We will explore static and driven systems to realize topological Bloch bands in tunable dimensionalities and covering diverse models ranging from the SSH and Hofstadter model to the Haldane model. In our work, we will shed light on heating mechanism in these interacting systems, especially through the use of Feshbach resonances that will enable to study the role of interactions in driven quantum systems in a systematic way. In addition, we plan to extend our work on Quantum Pumps to the regime of novel Z2 spin pumps that have only recently been proposed theoretically. We will also extend interferometric probes to the detection of non-Abelian Wilson loops in higher lying Bloch bands and study non-equilibrium transport and quench dynamics of interacting atoms in topological energy bands. The work proposed requires a strong collaboration between theory and experiments on the one hand (and builds on many of such successful collaborations) and relies on shared knowledge and technical exchange between the different experimental teams.

Group Website

Prof. Dr. Immanuel Bloch

Ludwig-Maximilians-Universität München
Fakultät für Physik
Schellingstrasse 4/II
80799 München
+49(0)89-2180-6131

immanuel.bloch(at)physik.uni-muenchen.de

Prof. Dr. Monika Aidelsburger

Ludwig-Maximilians-Universität München
Fakultät für Physik
Schellingstrasse 4/II 
80799 München
+49(0)89-2180-6143

Monika.Aidelsburger(at)physik.uni-muenchen.de

Foreign associated group member:

Dr. Ulrich Schneider

University of Cambridge
Cavendish Laboratory
JJ Thomson Avenue CB3 0HE
Cambridge, UK
+44 (0)1223 337239

uws20(at)cam.ac.uk