publication:

Dynamics of Shallow Dark Solitons in a Trapped Gas of Impenetrable Bosons (2004)

Author(s): Frantzeskakis DJ, Proukakis NP, Kevrekidis PG

    Abstract: The dynamics of linear and nonlinear excitations in a Bose gas in the Tonks-Girardeau regime with longitudinal confinement are studied within a mean-field theory of quintic nonlinearity. A reductive perturbation method is used to demonstrate that the dynamics of shallow dark solitons, in the presence of an external potential, can effectively be described by a variable-coefficient Korteweg–de Vries equation. The soliton oscillation frequency is analytically obtained to be equal to the axial trap frequency, in agreement with numerical predictions obtained by Busch et al. [J. Phys. B 36, 2553 (2003)] via the Bose-Fermi mapping. We obtain analytical expressions for the evolution of both soliton and emitted radiation (sound) profiles.

      • Date: 07-07-2004
      • Journal: Physical Review A: Atomic, Molecular and Optical Physics
      • Volume: 70
      • Issue: 1
      • Pages: 015601
      • Publisher: American Physical Society
      • Publication type: Article
      • Bibliographic status: Published
      Staff

      Dr Nikolaos Proukakis
      Reader in Superfluids