Cold Bosons in Optical Lattices

TL;DR

This review comprehensively discusses the properties, theoretical descriptions, and potential applications of cold Bose atoms in optical lattices, emphasizing their relevance for quantum information processing and the importance of thorough theoretical fundamentals.

Contribution

It provides an in-depth, self-contained explanation of theoretical methods for describing Bose-Einstein condensates in optical lattices, including disordered systems, which is more detailed than typical reviews.

Findings

Detailed theoretical framework for Bose-Einstein condensates in optical lattices.

Analysis of disordered optical lattices with random potentials.

Discussion of applications in quantum information processing.

Abstract

Basic properties of cold Bose atoms in optical lattices are reviewed. The main principles of correct self-consistent description of arbitrary systems with Bose-Einstein condensate 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 present review article, distinguishing it from other review works, is that theoretical fundamentals here are not just mentioned in brief, but are thoroughly explained. This makes it easy for the reader to follow the principal points without the immediate necessity of resorting to numerous publications in the field.