An extensive review of the basic properties of cold Bose atoms in optical lattices is presented. Author's statement: "The main principles of correct self-consistent description of arbitrary systems with Bose-Einstein condensates are formulated. Theoretical methods for describing regular periodic lattices are presented. A special attention is paid to the discussion of Bose-atom properties in the frame of the boson Hubbard model. Optical lattices with arbitrary strong disorder, induced by random potentials, are treated. Possible applications of cold atoms in optical lattices are discussed, with an emphasis of their usefulness for quantum information processing and quantum computing. An important feature of the" ...current... "review article, distinguishing it from" ... many ..."other review works, is that theoretical fundamentals here are not just mentioned in brief, but are thoroughly explained."
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http://arxiv.org/PS_cache/arxiv/pdf/0901/0901.0636v1.pdf
