Bloch oscillations of cold atoms in optical lattices
Andrey R. Kolovsky, Hans J\"urgen Korsch

TL;DR
This paper reviews Bloch oscillations of cold atoms in optical lattices, exploring extensions like 2D BO, decoherence, and correlated systems, highlighting their broader applicability beyond cold atom systems.
Contribution
It provides a comprehensive overview of recent developments and extensions in the study of Bloch oscillations in optical lattices, including new theoretical insights.
Findings
Analysis of two-dimensional Bloch oscillations
Insights into decoherence effects on BO
Application of BO concepts to correlated systems
Abstract
This work is devoted to Bloch oscillations (BO) of cold neutral atoms in optical lattices. After a general introduction to the phenomenon of BO and its realization in optical lattices, we study different extentions of this problem, which account for recent developments in this field. These are two-dimensional BO, decoherence of BO, and BO in correlated systems. Although these problems are discussed in relation to the system of cold atoms in optical lattices, many of the results are of general validity and can be well applied to other systems showing the phenomenon of BO.
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