Low-dimensional physics of ultracold gases with bound states and the sine-Gordon model

Thierry Jolicoeur ¹, Evgeni Burovski ², Giuliano Orso ³

European Physical Journal – Special Topics 217 (2013) 3-12

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.

• 1 : Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS)
  CNRS : UMR8626 – Université Paris XI – Paris Sud
• 2 : Department of Physics
  Lancaster University
• 3 : Matériaux et Phénomènes Quantiques (MPQ)
  CNRS : FR2437 – Université Paris VII – Paris Diderot