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DY: Fachverband Dynamik und Statistische Physik
DY 6: Many-Body Quantum Systems (joint session DY/TT)
DY 6.1: Talk
Monday, March 20, 2017, 10:00–10:15, ZEU 118
Localization in the non-interacting central site model and logarithmic entanglement growth — •Daniel Hetterich1, Maksym Serbyn2, Fernando Domínguez1, Frank Pollmann3, and Björn Trauzettel1 — 1Institut für Theoretische Physik, Universität Würzburg, D-97074 Würzburg, Germany — 2Department of Physics, University of California, Berkeley, California 94720, USA — 3Max-Plank Institute for the Physics of Complex Systems, D-0118 Dresden, Germany
We present both numerical and analytical results on localization features in the non-interacting central site model. Although this model is highly non-local – the central site couples equally to all other sites – we find exponentially localized eigenstates for all strengths of the coupling to the central site. Furthermore, the statistics of the corresponding wave functions show multifractality. Due to the special topology of our model, the entanglement entropy of factorized initial states grows logarithmically in time, which was previously thought to be present only in interacting many-body localized systems. This behavior can be analytically understood by the logarithmic motion of particles through the lattice.