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.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.

arXiv:1003.2608Physical Review ANov 24, 20109 citations

Dissipative Dynamics Of An Open Bose-Einstein Condensate

F. T. Arecchi, Jean R. Bragard, L. M. Castellano

Kluwer Academic Publishers eBooksDec 11, 20050 citations

Dynamic evolution of expanding Bose–Einstein condensates in the presence of a three-dimensional random optical speckle potential

Afifa Yedjour, Hanane Benmahdjoub, Abdelâali Boudjemâa

Abstract We study the diffusion of an expanding Bose–Einstein condensate released from a harmonic trap in a three-dimensional speckle disorder potential. To this end, we use the first Born approximation and examine the density profiles at short and long times. Analytical results are presented in different regimes. The evolution of the density profiles in space and time is deeply examined. We find that at long times and for a fixed disorder strength, the profile of the average atomic density decreases in power law. The time evolution of the typical size of the condensate is explored numerically.Abstract We study the diffusion of an expanding Bose–Einstein condensate released from a harmonic trap in a three-dimensional speckle disorder potential. To this end, we use the first Born approximation and examine the density profiles at short and long times. Analytical results are presented in different regimes. The evolution of the density profiles in space and time is deeply examined. We find that at long times and for a fixed disorder strength, the profile of the average atomic density decreases in power law. The time evolution of the typical size of the condensate is explored numerically.

Physica ScriptaJan 10, 20225 citations

Dissipative dynamics of an open Bose Einstein condensate

F.T. Arecchi, J. Bragard, L.M. Castellano

arXiv:cond-mat/9908468Optics CommunicationsMay 1, 200021 citations

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.