Loughborough University
Browse
PhysRevA.95.012135.pdf (813.3 kB)

Observing quantum chaos with noisy measurements and highly mixed states

Download (813.3 kB)
journal contribution
posted on 2017-03-01, 09:35 authored by J.F. Ralph, Kurt Jacobs, Mark EverittMark Everitt
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.

Funding

J.F.R. would like to thank the US Army Research Laboratories (Contract No. W911NF-16-2-0067).

History

School

  • Science

Department

  • Physics

Published in

Physical Review A

Volume

95

Issue

1

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.

Publisher

© American Physical Society

Version

  • VoR (Version of Record)

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/

Acceptance date

2017-01-06

Publication date

2017-01-26

Notes

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.

ISSN

2469-9926

eISSN

2469-9934

Language

  • en

Usage metrics

    Loughborough Publications

    Exports

    RefWorks
    BibTeX
    Ref. manager
    Endnote
    DataCite
    NLM
    DC