The European Physical Journal D

, Volume 65, Issue 1–2, pp 43–47 | Cite as

Integrability breakdown in longitudinaly trapped, one-dimensional bosonic gases

  • I. E. MazetsEmail author
Regular Article Bose-Einstein condensates


A system of identical bosons with short-range (contact) interactions is studied. Their motion is confined to one dimension by a tight lateral trapping potential and, additionally, subject to a weak harmonic confinement in the longitudinal direction. Finite delay time associated with penetration of quantum particles through each other in the course of a pairwise one-dimensional collision in the presence of the longitudinal potential makes the system non-integrable and, hence, provides a mechanism for relaxation to thermal equilibrium. To analyse this effect quantitatively in the limit of a non-degenerate gas, we develop a system of kinetic equations and solve it for small-amplitude monopole oscillations of the gas. The obtained damping rate is long enough to be neglected in a realistic cold-atom experiment, and therefore longitudinal trapping does not hinder integrable dynamics of atomic gases in the 1D regime.


Radial Mode Atom Chip Compound Particle Identical Boson Monopole Mode 


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Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  1. 1.Institute of Atomic and Subatomic PhysicsVienna University of TechnologyViennaAustria
  2. 2.Ioffe Physico-Technical InstituteSt. PetersburgRussia

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