Center-of-mass motion in many-body theory of BEC

Details Center-of-mass motion in many-body theory of BEC Center-of-mass motion in many-body theory of BEC

2002-04-09

arxiv.org/abs/quant-ph/0204046v1

Physics

Quantum Physics

Tutorial on the center of mass motion in rotating traps. 6 pages

Scientific paper

The method of generating a family of new solutions starting from any wave function satisfying the nonlinear Schr\"odinger equation in a harmonic potential proposed recently [ J. J. Garc\'{\i}a-Ripoll, V. M. P\'erez-Garc\'{\i}a, and V. Vekslerchik, Phys. Rev. E {\bf 64}, 056602 (2001)] is extended to many-body theory of mutually interacting particles. Our method is based on a generalization of the displacement operator known in quantum optics and results in the separation of the center of mass motion from the internal dynamics of many-body systems. The center of mass motion is analyzed for an anisotropic rotating trap and a region of instability for intermediate rotational velocities is predicted.

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