Dimensional Reduction and Localization of a Bose-Einstein Condensate in a Quasi-1D Bichromatic Optical Lattice

Year: 2015

Authors: Salasnich L., Adhikari K.

Autors Affiliation: Univ Padua, Dipartimento Fis Galileo Galilei, Via Marzolo 8, I-35131 Padua, Italy; Univ Padua, CNISM, I-35131 Padua, Italy; CNR, INO, Sez Sesto Fiorentino, I-50019 Sesto Fiorentino, Italy; Univ Estadual Paulista UNESP, Inst Fis Teor, BR-01140070 Sao Paulo, SP, Brazil.

Abstract: We analyze the localization of a Bose-Einstein condensate in a one-dimensional bichromatic quasi-periodic optical-lattice potential by numerically solving the 1D Gross-Pitaevskii equation (1D GPE). We first derive the 1D Gross-Pitaevskii equation from the dimensional reduction of the 3D quantum field theory of interacting bosons obtaining two coupled differential equations (for axial wave fuction and space-time dependent transverse width) which reduce to the 1D Gross-Pitaevskii equation under strict conditions. Then, by using the 1D Gross-Pitaevskii equation we report the suppression of localization in the interacting Bose-Einstein condensate when the repulsive scattering length between bosonic atoms is sufficiently large.

Journal/Review: ACTA PHYSICA POLONICA A

Volume: 128 (6)      Pages from: 979  to: 982

KeyWords: ANDERSON LOCALIZATION; DIFFUSION; LIGHT

Citations: 4
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