Self-Consistent Approach for Mapping Interacting Systems in Continuous Space to Lattice Models  

作　　者：WU Biao XU Yong DONG Lin SHI Jun-Ren 吴飙;徐勇;董霖;施均仁(International Center for Quantum Materials,Peking University,Beijing 100871;Institute of Physics,Chinese Academy of Sciences,Beijing 100190;Department of Physics and Astronomy,and Rice Quantum Institute,Rice University,Houston,Texas 77251-1892,USA)

机构地区：[1]International Center for Quantum Materials,Peking University,Beijing 100871 [2]Institute of Physics,Chinese Academy of Sciences,Beijing 100190 [3]Department of Physics and Astronomy,and Rice Quantum Institute,Rice University,Houston,Texas 77251-1892,USA

出　　处：《Chinese Physics Letters》2012年第8期81-84,共4页中国物理快报（英文版）

基　　金：Supported by the National Natural Science Foundation of China under Grant No 10825417.

摘　　要：We propose a general variational principle for mapping the interacting systems in continuous space to lattice models.Based on the principle,we derive a set of self-consistent nonlinear equations for the Wannier functions(or,equivalently for the Bloch functions).These equations show that the Wannier functions can be strongly influenced by the interaction and be significantly different from their non-interacting counterparts.The approach is demonstrated with interacting bosons in an optical lattice,and illustrated quantitatively by a simple model of interacting bosons in a double well potential.It is shown that the so-determined lattice model parameters can be significantly different from their non-interacting values.

关 键 词：POTENTIAL LATTICE INTERACTING 

分 类 号：O17[理学—数学]