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DY: Fachverband Dynamik und Statistische Physik

DY 26: Posters - Statistical Physics, Stochastic Thermodynamics

DY 26.15: Poster

Tuesday, March 21, 2017, 18:15–21:00, P3

Characterisation of the superfluid to Mott insulator transition from multifractal fluctuations in Hilbert space — •Jakob Lindinger, Andreas Buchleitner, and Alberto Rodríguez — Physikalisches Institut, Universität Freiburg, Hermann-Herder-Str. 3, D-79104 Freiburg, Germany

Recent theoretical work has revealed multifractality in Hilbert space as a generic feature of certain many-body systems even in the absence of disorder. The study of multifractal fluctuations in Fock space is particularly significant in the context of many-body localisation and Anderson localisation in random graphs, where the potential existence of an extensive non-ergodic multifractal phase is currently under an intense debate which has led to a controversy. Inspired by these results, we explore the possibility of identifying fingerprints of the superfluid to Mott insulator transition in the fluctuations of the many-body wavefunction in Hilbert space. We present preliminary numerical and analytical results obtained for the Bose-Hubbard model.