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arXiv · 1808.09257

Controlling chaos in the quantum regime using adaptive measurements

Jessica K. Eastman·Stuart S. Szigeti·Joseph J. Hope·André R. R. Carvalho
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Abstract

The continuous monitoring of a quantum system strongly influences the emergence of chaotic dynamics near the transition from the quantum regime to the classical regime. Here we present a feedback control scheme that uses adaptive measurement techniques to control the degree of chaos in the driven-damped quantum Duffing oscillator. This control relies purely on the measurement backaction on the system, making it a uniquely quantum control, and is only possible due to the sensitivity of chaos to measurement. We quantify the effectiveness of our control by numerically computing the quantum Lyapunov exponent over a wide range of parameters. We demonstrate that adaptive measurement techniques can control the onset of chaos in the system, pushing the quantum-classical boundary further into the quantum regime.

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Jessica K. Eastman, Stuart S. Szigeti, Joseph J. Hope, André R. R. Carvalho. 2019-01-11. Controlling chaos in the quantum regime using adaptive measurements. https://doi.org/10.1103/physreva.99.012111

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