Classical chaos with Bose-Einstein condensates in tilted optical lattices

Details Classical chaos with Bose-Einstein condensates in tilted optical lattices Classical chaos with Bose-Einstein condensates in tilted optical lattices

2003-06-25

arxiv.org/abs/quant-ph/0306172v1

Physical Review Letters 91, 210405 (2003)

Physics

Quantum Physics

4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.91.210405

A widely accepted definition of ``quantum chaos'' is ``the behavior of a quantum system whose \emph{classical} \emph{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 Schr{\"o}dinger equation. In this paper, we study the quantum dynamics of an ultra-cold quantum degenerate gas in a tilted optical lattice and show that it displays features very close to \emph{classical} chaos. We show that its phase space is organized according to the Kolmogorov-Arnold-Moser theorem.

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