
Study of the ground state wave function in optical lattice by using the genetic algorithm
Author(s) -
Zhijun Xu,
Qing-Miao Nie,
Penghua Li
Publication year - 2009
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.58.2878
Subject(s) - ground state , wave function , physics , lattice (music) , computation , gaussian , optical lattice , bose gas , function (biology) , fermi gamma ray space telescope , statistical physics , condensed matter physics , quantum mechanics , algorithm , computer science , bose–einstein condensate , superfluidity , evolutionary biology , acoustics , biology
Taking the gross-pitaevskiiG-P mean-field energy functional of Bose condensed gas as the objective function, we study the properties of Bose condensed gas in 1D optical lattice system by using the genetic algorithm, and present a new method to find the ground-state wave function of the system. Through the optimized computation, the currently commonly used Thomas-Fermi approximation and Gaussian approximation model are revised and discussed, and the optimal ground state wave function is given.