Observing quantum chaos with noisy measurements and highly mixed states
arXiv:1609.07338 · doi:10.1103/PhysRevA.95.012135
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 . 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.
arXiv comment3 figures, 5 pages, updated after comments
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- Dynamical model selection near the quantum-classical boundary
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