Variational ansatz for the superfluid Mott-insulator transition in optical lattices
Condensed Matter
2009-11-10 v2
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.
Keywords
Cite
@article{arxiv.cond-mat/0306162,
title = {Variational ansatz for the superfluid Mott-insulator transition in optical lattices},
author = {J. J. Garcia-Ripoll and J. I. Cirac and P. Zoller and C. Kollath and U. Schollwoeck and J. von Delft},
journal= {arXiv preprint arXiv:cond-mat/0306162},
year = {2009}
}
Comments
Entirely new and more precise variational method