Journal
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS
Volume 607, Issue -, Pages 1-101Publisher
ELSEVIER
DOI: 10.1016/j.physrep.2015.10.004
Keywords
Ultracold atoms; Optical lattices; Bose-Hubbard model; Quantum phase transitions; Mott insulator; Superfluid
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Funding
- German Research Foundation (DFG) [SFB/TR 12]
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During the last decade, many exciting phenomena have been experimentally observed and theoretically predicted for ultracold atoms in optical lattices. This paper reviews these rapid developments concentrating mainly on the theory. Different types of the bosonic systems in homogeneous lattices of different dimensions as well as in the presence of harmonic traps are considered. An overview of the theoretical methods used for these investigations as well as of the obtained results is given. Available experimental techniques are presented and discussed in connection with theoretical considerations. Eigenstates of the interacting bosons in homogeneous lattices and in the presence of harmonic confinement are analyzed. Their knowledge is essential for understanding of quantum phase transitions at zero and finite temperature. (C) 2015 Elsevier B.V. All rights reserved.
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