Dimensional Reduction and Localization of a Bose-Einstein Condensate in a Quasi-1D Bichromatic Optical Lattice
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; LIGHTCitations: 4data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2022-01-16References taken from IsiWeb of Knowledge: (subscribers only)Connecting to view paper tab on IsiWeb: Click hereConnecting to view citations from IsiWeb: Click here