Low-dimensional physics of ultracold gases with bound states and the sine-Gordon model
1 LPTMS, CNRS and Université Paris-Sud, rue G. Clémenceau, 91405 Orsay, France
2 Department of Physics, Lancaster University Lancaster LA1 4YB, UK
3 Université Paris Diderot-Paris 7, Laboratoire Matériaux et Phénomènes Quantiques, Bâtiment Condorcet, 75205 Paris, France
Revised: 15 January 2013
Published online: 11 March 2013
One-dimensional systems of interacting atoms are an ideal laboratory to study the Kosterlitz-Thouless phase transition. In the renormalization group picture there is essentially a two-parameter phase diagram to explore. We first present how detailed experiments have shown direct evidence for the theoretical treatment of this transition. Then generalization to the case of two-component systems with bound state formation is discussed. Trimer formation in the asymmetric attractive Hubbard model involve in a crucial way this kind of physics.
© EDP Sciences, Springer-Verlag, 2013