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Recovery of classical chaotic-like behaviour in a quantum three body problem

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posted on 05.04.2013 by Mark Everitt
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.

History

School

  • Science

Department

  • Physics

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.

Publisher

© The American Physical Society

Version

VoR (Version of Record)

Publication date

2007

Notes

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

ISSN

1539-3755

Language

en

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