Dresden 2011 – scientific programme
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ISS: Intersectional Sessions
ISS 9: Transport and Localization of interacting Bosons 2 (DY, Q)
ISS 9.6: Talk
Thursday, March 17, 2011, 15:45–16:00, BAR Schön
Localization of two interacting bosons in a random potential — •Dmitry Krimer1,2, Ramaz Khomeriki1,3, and Sergej Flach1 — 1Max Planck Institute for the Physics of Complex Systems, 01189 Dresden, Germany — 2Institute for Theoretical Physics, University of Tuebingen, 72076 Tübingen — 3Physics Department, Tbilisi State University, 0128 Tbilisi, Georgia
We study the dynamics of two interacting bosons in one-dimensional random lattices using the Bose-Hubbard model. In the absence of interaction all eigenstates are spatially localized and both particles follow the single particle dynamics corresponding to Anderson localization. Our study aims to clarify the interplay of disorder and interactions in few-body dynamics. In particular, we calculate the enhancement factor of the localization length l2 in comparison to the single particle localization length l1 for weak disorder performing rigorous numerical calculations. Previous studies based on the mapping of the two-particle problem onto a physically relevant matrix model contained different statements on this issue [1]. Our findings are in tact with predictions, which follow from the statistical properties of the overlap integrals of single particle eigenvectors [2].
[1] D.L. Shepelyansky, Phys. Rev. Lett. 73, 2607 (1994); K. Frahm, A. Müller-Groeling, J.-L. Pichard, D. Weinmann, Europhys. Lett., 31, 169 (1995)
[2] D.O. Krimer, S. Flach, Phys. Rev. E 82, 046221 (2010)