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Breathing Modes and Hidden Symmetry of Trapped Atoms in 2D

L. P. Pitaevskii·A. Rosch
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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.

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L. P. Pitaevskii, A. Rosch. 1996-09-13. Breathing Modes and Hidden Symmetry of Trapped Atoms in 2D. https://doi.org/10.1103/physreva.55.r853

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