Rigorous results of phase transition theory in lattice boson models

被引：0
作者：
D. P. Sankovich
机构：
[1] Steklov Mathematical Institute of Russian Academy of Sciences,
来源：
Proceedings of the Steklov Institute of Mathematics | 2015年 / 290卷
关键词：
Phase Transition; STEKLOV Institute; Hubbard Model; Optical Lattice; Quantum Phase Transition;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Quantum systems of particles obeying Bose statistics and moving in d-dimensional lattices are studied. The original Bose–Hubbard Hamiltonian is considered, together with model systems related to this Hamiltonian: the Bose–Hubbard model with exchange interaction of infinite radius and the Bose–Hubbard model with infinite interaction potential. Rigorous results concerning the proof of the existence of Bose condensation and a phase transition to the Mott insulator state in these systems are presented.
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页码：318 / 325
页数：7
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