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arXiv:quant-ph/9708009 · Physical Review Letters

Wave Packet Dynamics with Bose-Einstein Condensates

Ralph Dum, Anna Sanpera, Kalle‐Antti Suominen, Mirosław Brewczyk, Marek Kuś, Kazimierz Rza̧żewski, Maciej Lewenstein

Published May 4, 1998• 38 citations
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Abstract

We numerically study wave packet dynamics of a Bose-Einstein condensate in a periodically shaken trap. Dynamic splitting of the condensate, and dynamic stabilization against escape from the trap are analyzed in analogy with similar behavior of atoms in strong laser fields.
DOI
10.1103/physrevlett.80.3899

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We study the collision dynamics of two Bose-Einstein condensates with their dynamical wave functions modeled by a set of coupled, time-dependent Gross-Pitaevskii equations. Beginning with an effective one-dimensional system, we identify regimes characterized by the relationship between inter- and intra-atomic interactions and the initial configuration of the system, akin to the equilibrium phase diagram of two interacting Bose condensates. We consider a dynamical setup in which two wave packets are initially at rest with a small separation about the center of an asymmetric harmonic trap. Upon release, we observe a rapid approach to dynamical equilibrium in the limits of very large and very small inter-particle repulsion, characterized by periodic transmission or reflection of the condensates as distinguishable units, whereas the intermediate, critical regime is characterized by extended transient dynamics, density fracturing, and dynamical mixing. We therefore have reason to believe that non-trivial behavior may exist during the collisions of Bose-Einstein condensates as a result of their non-linear interactions, and these effects may be observable in a suitable laboratory environment.
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