Dissipative transport of trapped Bose-Einstein condensates through disorder

S. G. Bhongale, Paata Kakashvili, C. J. Bolech, and H. Pu
Phys. Rev. A 82, 053632 – Published 24 November 2010

Abstract

After almost half a century since the work of Anderson [Phys. Rev. 109, 1492 (1958)], at present there is no well-established theoretical framework for understanding the dynamics of interacting particles in the presence of disorder. Here, we address this problem for interacting bosons near T=0, a situation that has been realized in trapped atomic experiments with an optical-speckle disorder. We develop a theoretical model for understanding the hydrodynamic transport of finite-sized Bose-Einstein condensates through disorder potentials. The goal has been to set up a simple model that will retain all the richness of the system yet provide analytic expressions, allowing deeper insight into the physical mechanism. Comparison of our theoretical predictions with the experimental data on large-amplitude dipole oscillations of a condensate in an optical-speckle disorder shows striking agreement. We are able to quantify various dissipative regimes of slow and fast damping. Our calculations provide clear evidence of a reduction in disorder strength due to interactions. The analytic treatment presented here allows us to predict the power law governing the interaction dependence of damping. The corresponding exponents are found to depend sensitively on the dimensionality and are in excellent agreement with experimental observations. Thus, the adeptness of our model in correctly capturing the essential physics of dissipation in such transport experiments is established.

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  • Received 13 April 2010

DOI:https://doi.org/10.1103/PhysRevA.82.053632

©2010 American Physical Society

Authors & Affiliations

S. G. Bhongale1,2, Paata Kakashvili1,3, C. J. Bolech1,4, and H. Pu1

  • 1Department of Physics and Astronomy and Rice Quantum Institute, Rice University, Houston, Texas 77005, USA
  • 2Department of Physics and Astronomy, George Mason University, MS 3F3, Fairfax, Virginia 22030, USA
  • 3NORDITA, Roslagstullsbacken 23, 106 91 Stockholm, Sweden
  • 4Department of Physics, University of Cincinnati, Cincinnati, Ohio 45221, USA

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Issue

Vol. 82, Iss. 5 — November 2010

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