Thommen Quentin, Garreau Jean Claude, Zehnlé Véronique
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.
Phys Rev Lett. 2003 Nov 21;91(21):210405. doi: 10.1103/PhysRevLett.91.210405.
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.
“量子混沌”的一个被广泛接受的定义是“其经典极限为混沌的量子系统的行为”。然而，量子混沌系统的动力学与它们的经典对应物的动力学非常不同。其根本原因是薛定谔方程的线性。在本文中，我们研究了倾斜光学晶格中超冷量子简并气体的量子动力学，并表明它表现出与经典混沌非常接近的特征。我们表明其相空间是根据柯尔莫哥洛夫 - 阿诺德 - 莫泽定理组织的。
