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Open Quantum Systems Decoherence
de Broglie-Bohm analysis of a nonlinear membrane: From quantum to classical chaos
arXiv
Authors: Henrique Santos Lima, Matheus M. A. Paixão, Constantino Tsallis
Year
2023
Paper ID
55819
Status
Preprint
Abstract Read
~2 min
Abstract Words
69
Citations
N/A
Abstract
Within the de Broglie-Bohm theory, we numerically study a generic two-dimensional anharmonic oscillator including cubic and quartic interactions. Our analysis of the quantum velocity fields and trajectories reveals the emergence of dynamical vortices. In their vicinity, fingerprints of chaotic behavior such as unpredictability and sensitivity to initial conditions are detected. The simultaneous presence of off-diagonal and nonlinear terms leads to robust quantum chaos very analogous to its classical version.
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- This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
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- Within the de Broglie-Bohm theory, we numerically study a generic two-dimensional anharmonic oscillator including cubic and quartic interactions.
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