Controlling chaos in the quantum regime using adaptive measurements
File(s)
Accepted version
Author(s)
Eastman, Jessica K
Szigeti, Stuart S
Hope, Joseph J
Carvalho, André RR
Type
Journal Article
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.
Date Issued
2019-01-10
Date Acceptance
2019-01-01
Citation
Physical Review A, 2019, 99 (1), pp.1-9
ISSN
2469-9926
Publisher
American Physical Society (APS)
Start Page
1
End Page
9
Journal / Book Title
Physical Review A
Volume
99
Issue
1
Copyright Statement
©2019 American Physical Society
Identifier
https://journals.aps.org/pra/abstract/10.1103/PhysRevA.99.012111
Publication Status
Published
Article Number
012111
Date Publish Online
2019-01-10