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Rev. Mod. Phys. 80, 885–964 (2008)

Many-body physics with ultracold gases

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Immanuel Bloch*
Institut für Physik, Johannes Gutenberg–Universität, D-55099 Mainz, Germany

Jean Dalibard
Laboratoire Kastler Brossel, CNRS, Ecole Normale Supérieure, 24 rue Lhomond, F-75005 Paris, France

Wilhelm Zwerger
Physik-Department, Technische Universität München, D-85748 Garching, Germany

Published 18 July 2008

This paper reviews recent experimental and theoretical progress concerning many-body phenomena in dilute, ultracold gases. It focuses on effects beyond standard weak-coupling descriptions, such as the Mott-Hubbard transition in optical lattices, strongly interacting gases in one and two dimensions, or lowest-Landau-level physics in quasi-two-dimensional gases in fast rotation. Strong correlations in fermionic gases are discussed in optical lattices or near-Feshbach resonances in the BCS-BEC crossover.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/RevModPhys.80.885
DOI:
10.1103/RevModPhys.80.885
PACS:
03.75.Ss, 03.75.Hh, 74.20.Fg

*bloch@uni-mainz.de

jean.dalibard@lkb.ens.fr

zwerger@ph.tum.de