We propose a general procedure for reducing the three-dimensional Schrodinger equation for atoms moving along a strongly confining atomic waveguide to an effective one-dimensional equation. This procedure is applied to the case of a rotating closed-loop waveguide. The possibility of including mean-field atomic interactions is presented. Finally, application of the general theory to characterize a new concept of atomic waveguide based on optical tweezers is discussed.
One-dimensional description of a Bose-Einstein condensate in a rotating closed-loop waveguide
Menotti, C;Carusotto, I;Stringari, S
2006
Abstract
We propose a general procedure for reducing the three-dimensional Schrodinger equation for atoms moving along a strongly confining atomic waveguide to an effective one-dimensional equation. This procedure is applied to the case of a rotating closed-loop waveguide. The possibility of including mean-field atomic interactions is presented. Finally, application of the general theory to characterize a new concept of atomic waveguide based on optical tweezers is discussed.File in questo prodotto:
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