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Open AccessJournal ArticleDOI

Cold Bosons in Optical Lattices

Vyacheslav I. Yukalov
- 08 Jan 2009 - 
- Vol. 19, Iss: 1, pp 1-110
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TLDR
In this paper, the main principles of correct self-consistent description of arbitrary systems with Bose-Einstein condensate are formulated, and theoretical methods for describing regular periodic lattices are presented.
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.

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Journal ArticleDOI

I and i

Kevin Barraclough
- 08 Dec 2001 - 
TL;DR: There is, I think, something ethereal about i —the square root of minus one, which seems an odd beast at that time—an intruder hovering on the edge of reality.
Proceedings Article

Bose-Einstein condensation in a gas of sodium atoms

TL;DR: The striking signature of Bose condensation was the sudden appearance of a bimodal velocity distribution below the critical temperature of ~2µK.
Journal ArticleDOI

Maximally-localized Wannier Functions: Theory and Applications

TL;DR: In this paper, the authors present a survey of the use of Wannier functions in the context of electronic-structure theory, including their applications in analyzing the nature of chemical bonding, or as a local probe of phenomena related to electric polarization and orbital magnetization.
Journal ArticleDOI

Exactly Solved Models in Statistical Mechanics

M A Moore
- 01 Apr 1983 - 
TL;DR: Baxter has inherited the mantle of Onsager who started the process by solving exactly the two-dimensional Ising model in 1944 as mentioned in this paper, and there has been a growing belief that all the twodimensional lattice statistical models will eventually be solved and that it will be Professor Baxter who solves them.
Journal ArticleDOI

Theory of Coupled Electron and Proton Transfer Reactions

TL;DR: The general theories and models of coupled electron transfer/proton transfer (ET/PT) reactions are discussed and a simple four-state model of reactions where the proton moves across a single hydrogen bond is considered.
References
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Book

Quantum Computation and Quantum Information

TL;DR: In this article, the quantum Fourier transform and its application in quantum information theory is discussed, and distance measures for quantum information are defined. And quantum error-correction and entropy and information are discussed.
Journal ArticleDOI

Information Theory and Statistical Mechanics. II

TL;DR: In this article, the authors consider statistical mechanics as a form of statistical inference rather than as a physical theory, and show that the usual computational rules, starting with the determination of the partition function, are an immediate consequence of the maximum-entropy principle.
Book

Phase Transitions and Critical Phenomena

TL;DR: The field of phase transitions and critical phenomena continues to be active in research, producing a steady stream of interesting and fruitful results as discussed by the authors, and the major aim of this serial is to provide review articles that can serve as standard references for research workers in the field.
Journal ArticleDOI

Absence of Diffusion in Certain Random Lattices

TL;DR: In this article, a simple model for spin diffusion or conduction in the "impurity band" is presented, which involves transport in a lattice which is in some sense random, and in them diffusion is expected to take place via quantum jumps between localized sites.
Book

Exactly solved models in statistical mechanics

Rodney Baxter
TL;DR: In this article, exactly solved models of statistical mechanics are discussed. But they do not consider exactly solvable models in statistical mechanics, which is a special issue in the statistical mechanics of the classical two-dimensional faculty of science.
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