Abstract
We develop a variational wave function for the ground state of a one-dimensional bosonic lattice gas. The variational theory is initally developed for the quantum rotor model and later on extended to the Bose-Hubbard model. This theory is compared with quasi-exact numerical results obtained by Density Matrix Renormalization Group (DMRG) studies and with results from other analytical approximations. Our approach accurately gives local properties for strong and weak interactions, and it also describes the crossover from the superfluid phase to the Mott-insulator phase.
©2004 Optical Society of America
Full Article | PDF ArticleMore Like This
Soi-Chan Lei, Tai-Kai Ng, and Ray-Kuang Lee
Opt. Express 18(14) 14586-14597 (2010)
H. Fehrmann, M. Baranov, M. Lewenstein, and L. Santos
Opt. Express 12(1) 55-68 (2004)
Libo Liang, Yuqing Wang, Qi Huang, Qinpei Zheng, Xuzong Chen, and Jiazhong Hu
Opt. Express 31(10) 16743-16753 (2023)