Nonlinear Modes of a Macroscopic Quantum Oscillator
Yuri S. Kivshar, Tristram J. Alexander, Sergey K. Turitsyn
Abstract
We consider the Bose-Einstein condensate in a parabolic trap as a macroscopic quantum oscillator and describe, analytically and numerically, its collective modes - a nonlinear generalisation of the (symmetric and antisymmetric) Hermite-Gauss eigenmodes of a harmonic quantum oscillator.
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