Ab initio derivation of Hubbard models for cold atoms in optical lattices

被引：49

作者：

Walters, R. ^{[1
]}

Cotugno, G. ^{[1
,2
]}

Johnson, T. H. ^{[1
]}

Clark, S. R. ^{[1
,3
,4
]}

Jaksch, D. ^{[1
,3
,4
]}

机构：

[1] Univ Oxford, Clarendon Lab, Oxford OX1 3PU, England

[2] Univ Hamburg, Max Planck Res Dept Struct Dynam, CFEL, Hamburg, Germany

[3] Natl Univ Singapore, Ctr Quantum Technol, Singapore 117543, Singapore

[4] Univ Oxford Keble Coll, Oxford OX1 3PG, England

来源：

PHYSICAL REVIEW A | 2013年 / 87卷 / 04期

基金：

新加坡国家研究基金会;

关键词：

WANNIER-LIKE FUNCTIONS; SINGLE ATOMS; PHASE; GAS; BLOCH;

D O I：

10.1103/PhysRevA.87.043613

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We derive ab initio local Hubbard models for several optical-lattice potentials of current interest, including the honeycomb and kagome lattices, verifying their accuracy on each occasion by comparing the interpolated band structures against the originals. To achieve this, we calculate the maximally localized generalized Wannier basis by implementing the steepest-descent algorithm of Marzari and Vanderbilt [Phys. Rev. B 56, 12847 (1997)] directly in one and two dimensions. To avoid local minima we develop an initialization procedure that is both robust and requires no prior knowledge of the optimal Wannier basis. DOI: 10.1103/PhysRevA.87.043613

引用

页数：13

共 47 条

[1] Muffin-tin orbitals of arbitrary order [J].