Exact Theory of Breathing Modes in a 2D Trapped Bose Gas

Preprint

27 August 1996

preprint
Published by arXiv in arXiv

Abstract

We show that the existence of universal ``breathing'' modes of atoms in two dimensions confined in a harmonic potential can be explained by a simple underlying symmetry. This symmetry SO(2,1), i.e. the two dimensional Lorentz group, allows to construct pulsating solutions for the interacting quantum system and for the nonlinear Gross-Pitaevskii equation. These modes have a clear experimental signature.

Keywords

SYSTEM AND FOR THE NONLINEAR
BREATHING MODES
LORENTZ GROUP
TRAPPED BOSE
EXACT THEORY
2D TRAPPED
BOSE GAS

All Related Versions

Version 1, 1996-08-27, ArXiv
Version 2, 1996-09-02, ArXiv
Version 3, 1996-09-03, ArXiv
Version 4, 1996-09-13, ArXiv
Published version: Physical Review A, 55 (2), R853.

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