Breathing Modes and Hidden Symmetry of Trapped Atoms in 2D

Details Breathing Modes and Hidden Symmetry of Trapped Atoms in 2D Breathing Modes and Hidden Symmetry of Trapped Atoms in 2D

1996-08-27

arxiv.org/abs/cond-mat/9608135v4

Phys. Rev. A, 55, R 835 (1997)

Physics

Condensed Matter

4 pages, small changes in title and text, references added

Scientific paper

10.1103/PhysRevA.55.R853

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.

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