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Q: Fachverband Quantenoptik und Photonik
Q 4: Quantum Gases (Bosons) I
Q 4.3: Vortrag
Montag, 11. März 2019, 11:15–11:30, S HS 037 Informatik
Localization in the two-dimensional Bose-Hubbard-model — •Andreas Geißler1,2, Johannes Schachenmayer1,3, and Guido Pupillo1,3 — 1ISIS, University of Strasbourg, Strasbourg, France — 2Institut für Theoretische Physik, Goethe-Universität, Frankfurt am Main, Germany — 3IPCMS, University of Strasbourg, Strasbourg, France
Experiments in recent years (e.g. [1,2]) have shown signatures of many-body localization (MBL) for the bosonic Hubbard model realized as one and two dimensional systems in ultra cold atomic gas experiments. The theoretical investigation of these systems has so far proved to be very hard as a proper understanding of the MBL phenomenon depends on knowledge about the full eigenstate spectrum. Therefore, commonly used exact diagonalization, renormalization group and tensor network methods have been limited to small system sizes. Extending a recently developed beyond-Bogoliubov quasiparticle theory I present theoretical results for a recent experiment [2], showing comparable signatures of localization while suggesting that the observed localization also strongly depends on the confining potential. Furthermore, I present a detailed phase diagram as a function of disorder and interaction strength, obtained via various level statistical and wave function related measures for localization.
[1] C. D'Errico et al., PRL 113, 095301 (2014)
[2] J.-y. Choi et al., Science 352, 1547 (2016)