Ultracold atoms in optical lattices

Immanuel Bloch

in Many-Body Physics with Ultracold Gases

Published in print November 2012 | ISBN: 9780199661886
Published online January 2013 | e-ISBN: 9780191748356 | DOI:

Series: Lecture Notes of the Les Houches Summer School

Ultracold atoms in optical lattices

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This chapter provides an introduction to the field of strong correlation physics with ultracold atoms in optical lattices. After a basic introduction to the single-particle band structure and lattice configurations, the effect of strong interactions on the Hubbard model is discussed. Detection methods are introduced, which allow us to reveal in-trap density and (quasi)-momentum distributions, as well as correlations between particles on the lattice. The fundamental phases of the bosonic and fermionic Hubbard model are discussed. Superexchange spin-spin interactions that form the basis of quantum magnetism are introduced and the current status on observing such magnetic phenomena is highlighted. Finally, novel possibilities for detecting single-site and single-atom resolved quantum gases are outlined.

Keywords: strong correlation physics; ultracold atoms; Hubbard model; optical lattice; superexchange spin-spin interactions; quantum magnetism; quantum gases

Chapter.  15749 words.  Illustrated.

Subjects: Atomic, Molecular, and Optical Physics

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