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Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/24251

Title: Observing quantum chaos with noisy measurements and highly mixed states
Authors: Ralph, J.F.
Jacobs, Kurt
Everitt, Mark J.
Issue Date: 2017
Publisher: © American Physical Society
Citation: RALPH, J.F., JACOBS, K. and EVERITT, M.J., 2017. Observing quantum chaos with noisy measurements and highly mixed states. Physical Review A, 95 (1), 012135.
Abstract: A fundamental requirement for the emergence of classical behavior from an underlying quantum description is that certain observed quantum systems make a transition to chaotic dynamics as their action is increased relative to ℏ. While experiments have demonstrated some aspects of this transition, the emergence of quantum trajectories with a positive Lyapunov exponent has never been observed directly. Here, we remove a major obstacle to achieving this goal by showing that, for the Duffing oscillator, the transition to a positive Lyapunov exponent can be resolved clearly from observed trajectories even with measurement efficiencies as low as 20%. We also find that the positive Lyapunov exponent is robust to highly mixed, low-purity states and to variations in the parameters of the system.
Description: This paper was accepted for publication in the journal Physical Review A and is available at http://dx.doi.org/10.1103/PhysRevA.95.012135.
Sponsor: J.F.R. would like to thank the US Army Research Laboratories (Contract No. W911NF-16-2-0067).
Version: Published
DOI: 10.1103/PhysRevA.95.012135
URI: https://dspace.lboro.ac.uk/2134/24251
Publisher Link: http://dx.doi.org/10.1103/PhysRevA.95.012135
ISSN: 2469-9926
Appears in Collections:Published Articles (Physics)

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