dorsal/arxiv
View SchemaClassical chaos with Bose-Einstein condensates in tilted optical lattices
| Authors | Quentin Thommen, Jean Claude Garreau, Véronique Zehnlé |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0306172 |
| URL | https://arxiv.org/abs/quant-ph/0306172 |
| DOI | 10.1103/PhysRevLett.91.210405 |
| Journal | Physical Review Letters 91, 210405 (2003) |
Abstract
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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"abstract": "A widely accepted definition of ``quantum chaos\u0027\u0027 is ``the behavior of a\nquantum system whose \\emph{classical} \\emph{limit is chaotic}\u0027\u0027. The dynamics\nof quantum-chaotic systems is nevertheless very different from that of their\nclassical counterparts. A fundamental reason for that is the linearity of\nSchr{\\\"o}dinger equation. In this paper, we study the quantum dynamics of an\nultra-cold quantum degenerate gas in a tilted optical lattice and show that it\ndisplays features very close to \\emph{classical} chaos. We show that its phase\nspace is organized according to the Kolmogorov-Arnold-Moser theorem.",
"arxiv_id": "quant-ph/0306172",
"authors": [
"Quentin Thommen",
"Jean Claude Garreau",
"V\u00e9ronique Zehnl\u00e9"
],
"categories": [
"quant-ph",
"cond-mat.stat-mech",
"nlin.CD"
],
"doi": "10.1103/PhysRevLett.91.210405",
"journal_ref": "Physical Review Letters 91, 210405 (2003)",
"title": "Classical chaos with Bose-Einstein condensates in tilted optical lattices",
"url": "https://arxiv.org/abs/quant-ph/0306172"
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