J. Phys. IV France
Volume 116, October 2004
Page(s) 5 - 44

J. Phys. IV France 116 (2004) 5-44

DOI: 10.1051/jp4:2004116001

Low-dimensional trapped gases

D.S. Petrov1, 2, 1, D.M. Gangardt3, 1 and G.V. Shlyapnikov1, 2, 3, 1

1  FOM Institute AMOLF, Kruislaan 407, 1098 SJ Amsterdam, The Netherlands
2  Russian Research Center Kurchatov Institute, Kurchatov Square, 123182 Moscow, Russia
3  Laboratoire Kastler Brossel, École Normale Supérieure, 24 rue Lhomond, 75231, Paris, France

Recent developments in the physics of ultracold gases provide wide possibilities for reducing the dimensionality of space for magnetically or optically trapped atoms. The goal of these lectures is to show that regimes of quantum degeneracy in two-dimensional (2D) and one-dimensional (1D) trapped gases are drastically different from those in three dimensions and to stimulate an interest in low-dimensional systems. Attention is focused on the new physics appearing in currently studied low-dimensional trapped gases and related to finite-size and finite-temperature effects.

© EDP Sciences 2004