Classical chaos with Bose-Einstein condensates in tilted optical lattices
Abstract
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 Schr\"odinger 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 classical chaos. We show that its phase space is organized according to the Kolmogorov-Arnold-Moser theorem.
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