Classical chaos with Bose-Einstein condensates in tilted optical lattices.
A widely accepted definition of "quantum chaos" is "the behavior of a quantum system whose classical limit is chaotic." The dynamics of quantum-chaotic systems is nevertheless very different from that of their classical counterparts. A fundamental reason for that is the linearity of Schrödinger equation. In this paper, we study the quantum dynamics of an ultracold quantum degenerate gas in a tilted optical lattice and show that it displays features very close to classical chaos. We show that its phase space is organized according to the Kolmogorov-Arnold-Moser theorem.
Thommen
Quentin
Q
Laboratoire de Physique des Lasers, Atomes et Molécules, Centre d'Etudes et de Recherches Laser et Applications, Université des Sciences et Technologies de Lille, F-59655 Villeneuve d'Ascq CEDEX, France.
Garreau
Jean Claude
JC
Zehnlé
Véronique
V