Breathing Modes and Hidden Symmetry of Trapped Atoms in 2D

Preprint

3 September 1996

preprint
Published by arXiv in arXiv

Abstract

Atoms confined in a harmonic potential show universal oscillations in 2D. We point out the connection of these ''breathing'' modes to the presence of a hidden symmetry. The underlying symmetry SO(2,1), i.e. the two dimensional Lorentz group, allows pulsating solutions to be constructed for the interacting quantum system and for the corresponding nonlinear Gross-Pitaevskii equation. We point out how this symmetry can be used as a probe for recently proposed experiments of trapped atoms in 2D.

Keywords

HARMONIC POTENTIAL
BREATHING MODES
HIDDEN SYMMETRY
TRAPPED ATOMS
2D ATOMS
SYMMETRY
LORENTZ

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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