Semiclassical dynamics of quasi-one-dimensional, attractive Bose-Einstein condensates

    Authors

    A. Tovbis;M. A. Hoefer

    Comments

    Authors: contact us about adding a copy of your work at STARS@ucf.edu

    Abbreviated Journal Title

    Phys. Lett. A

    Keywords

    NONLINEAR SCHRODINGER-EQUATION; DISPERSION LIMIT SOLUTIONS; WAVES; SOLITONS; Physics, Multidisciplinary

    Abstract

    The strongly interacting regime for attractive Bose-Einstein condensates (BECs) tightly confined in an extended cylindrical trap is studied. For appropriately prepared, non-collapsing BECs, the ensuing dynamics are found to be governed by the one-dimensional focusing Nonlinear Schrodinger equation (NLS) in the semiclassical (small dispersion) regime. In spite of the modulational instability of this regime, some mathematically rigorous results on the strong asymptotics of the semiclassical limiting solutions were obtained recently. Using these results, "implosion-like" and "explosion-like" events are predicted whereby an initial hump focuses into a sharp spike which then expands into rapid oscillations. Seemingly related behavior has been observed in three-dimensional experiments and models, where a BEC with a sufficient number of atoms undergoes collapse. The dynamical regimes studied here, however, are not predicted to undergo collapse. Instead, distinct, ordered structures, appearing after the "implosion", yield interesting new observables that may be experimentally accessible. (C) 2010 Elsevier B.V. All rights reserved.

    Journal Title

    Physics Letters A

    Volume

    375

    Issue/Number

    3

    Publication Date

    1-1-2011

    Document Type

    Article

    Language

    English

    First Page

    726

    Last Page

    732

    WOS Identifier

    WOS:000286781900093

    ISSN

    0375-9601

    Share

    COinS