• DOI:10.1140/epjd/e2010-10637-5
• Corpus ID: 59374177

Integrability breakdown in longitudinaly trapped, one-dimensional bosonic gases

@article{Mazets2011IntegrabilityBI,
  title={Integrability breakdown in longitudinaly trapped, one-dimensional bosonic gases},
  author={Igor E. Mazets},
  journal={The European Physical Journal D},
  year={2011},
  volume={65},
  pages={43-47}
}

• I. Mazets
• Published 2 November 2010
• Physics
• The European Physical Journal D

Abstract
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.