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Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/12058

Title: Recovery of classical chaotic-like behaviour in a quantum three body problem
Authors: Everitt, Mark J.
Issue Date: 2007
Publisher: © The American Physical Society
Citation: EVERITT, M.J., 2007. Recovery of classical chaotic-like behaviour in a quantum three body problem. Physical Review E, 75 (3), 036217, 6 pp.
Abstract: Recovering trajectories of quantum systems whose classical counterparts display chaotic behavior has been a subject that has received a lot of interest over the last decade. However, most of these studies have focused on driven and dissipative systems. The relevance and impact of chaoticlike phenomena to quantum systems has been highlighted in recent studies which have shown that quantum chaos is significant in some aspects of quantum computation and information processing. In this paper we study a three-body system comprising of identical particles arranged so that the system’s classical trajectories exhibit Hamiltonian chaos. Here we show that it is possible to recover very nearly classical-like, conservative, chaotic trajectories from such a system through an unravelling of the master equation. First, this is done through continuous measurement of the position of each system. Second, and perhaps somewhat surprisingly, we demonstrate that we still obtain a very good match between the classical and quantum dynamics by weakly measuring the position of only one of the oscillators.
Description: This article was published in the journal, Physical Review E [© American Physical Society] and the definitive version is available at: http://dx.doi.org/10.1103/PhysRevE.75.036217
Version: Published
DOI: 10.1103/PhysRevE.75.036217
URI: https://dspace.lboro.ac.uk/2134/12058
Publisher Link: http://dx.doi.org/10.1103/PhysRevE.75.036217
ISSN: 1539-3755
Appears in Collections:Published Articles (Physics)

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