Work

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

Year: 2012

Type: article

Abstract: 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.

Source: Chinese Physics Letters

DOI: 10.1088/0256-307x/29/8/083701

Authors: Biao Wu, Yong Xu, Lin Dong, Jun-Ren Shi

Institutions: Peking University, Chinese Academy of Sciences, Institute of Physics, Rice University

Language: English

Topic: Cold Atom Physics and Bose-Einstein Condensates

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: bronze

Funder: National Natural Science Foundation of China

Award: G7645642303