Strong coupling expansion for the Bose-Hubbard and Jaynes-Cummings lattice models

被引:11
作者
Heil, Christoph [1 ]
von der Linden, Andwolfgang [1 ]
机构
[1] Graz Univ Technol, Inst Theoret & Computat Phys, A-8010 Graz, Austria
基金
奥地利科学基金会;
关键词
QUANTUM; SUPERFLUID; INSULATOR;
D O I
10.1088/0953-8984/24/29/295601
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
A strong coupling expansion based on the Kato-Bloch perturbation theory, which has recently been proposed by Eckardt et al (2009 Phys. Rev. B 79 195131) and Teichmann et al (2009 Phys. Rev. B 79 224515), is implemented in order to study various aspects of the Bose-Hubbard and Jaynes-Cummings lattice models. The approach, which allows us to generate numerically all diagrams up to a desired order in the interaction strength, is generalized for disordered systems and for the Jaynes-Cummings lattice model. Results for the Bose-Hubbard and Jaynes-Cummings lattice models will be presented and compared with results from the variational cluster approach and density matrix renormalization group. Our focus will be on the Mott insulator to superfluid transition.
引用
收藏
页数:14
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