Numéro |
J. Phys. IV France
Volume 116, October 2004
|
|
---|---|---|
Page(s) | 135 - 168 | |
DOI | https://doi.org/10.1051/jp4:2004116005 |
J. Phys. IV France 116 (2004) 135-168
DOI: 10.1051/jp4:2004116005
Strong correlation effects and quantum information theory of low dimensional atomic gases
B. Paredes1, J.J. García-Ripoll1, P. Zoller2 and J.I. Cirac11 Max-Planck-Institute for Quantum Optics, Hans-Kopfermann-Str. 1, 85748 Garching, Germany
2 Institute for Theoretical Physics, University of Innsbruck, Technikerstr. 25, 6020 Innsbruck, Austria
Abstract
These lecture notes present an introduction to the strongly correlated regime
of low dimensional atomic gases. The discussion is concentrated on situations
in which the strongly correlated limit is achieved by creating degeneracies in
the one-particle motional states. Three different schemes of experimental
relevance are analyzed: bosonic atoms in a two dimensional rapidly rotating
trap, bosonic atoms in a one dimensional optical lattice, and bosonic atoms
with frozen motional degrees of freedom and two internal states. The
corresponding entangled multiparticle states (Laughlin liquids, Mott phases,
squeezed states), and the different strongly correlated phenomena that appear
(fermionization, fractional statistics) are studied. Emphasis is given to the
possibility of observing novel strongly correlated phenomena as well as to the
possible implementations for quantum computation and quantum information.
© EDP Sciences 2004