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|Title: ||Observing quantum chaos with noisy measurements and highly mixed states|
|Authors: ||Ralph, J.F.|
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).|
|Publisher Link: ||http://dx.doi.org/10.1103/PhysRevA.95.012135|
|Appears in Collections:||Published Articles (Physics)|
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