Generalized nonpolynomial Schrödinger equations for matter waves under anisotropic transverse confinement
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Publication:3648887
DOI10.1088/1751-8113/42/33/335205zbMATH Open1179.82059arXiv0907.1248OpenAlexW2089872883MaRDI QIDQ3648887
Author name not available (Why is that?)
Publication date: 1 December 2009
Published in: (Search for Journal in Brave)
Abstract: Starting from the three-dimensional Gross-Pitaevskii equation we derive a 1D generalized nonpolynomial Schrodinger equation, which describes the dynamics of Bose-Einstein condensates under the action of a generic potential in the longitudinal axial direction and of an anisotropic harmonic potential in the transverse radial direction. This equation reduces to the familiar 1D nonpolynomial Schrodinger equation [Phys. Rev. A 65, 043614 (2002)] in the case of isotropic transverse harmonic confinement. In addition, we show that if the longitudinal potential models a periodic optical lattice the 3D GPE can be mapped into a 1D generalized discrete nonpolynomial Schrodinger equation.
Full work available at URL: https://arxiv.org/abs/0907.1248
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