Numerical validation of Ehrenfest theorem in a Bohmian perspective for non-conservative systems

A., Paixão, Matheus M.; Lima, Henrique Santos

doi:10.1140/epjp/s13360-023-04023-z

Eur. Phys. J. Plus

2023

DOI: 10.1140/epjp/s13360-023-04023-z

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Numerical validation of Ehrenfest theorem in a Bohmian perspective for non-conservative systems

Paixão, Matheus M. A.

Henrique Santos Lima

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2024

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de Broglie–Bohm analysis of a nonlinear membrane: From quantum to classical chaos

Santos Lima,

Paixão,

Tsallis

2024

Chaos: An Interdisciplinary Journal of Nonlinear Science

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Within the de Broglie–Bohm theory, we numerically study a generic two-dimensional anharmonic oscillator including cubic and quartic interactions in addition to a bilinear coupling term. 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 the off-diagonal −kxy and nonlinear terms leads to robust quantum chaos very analogous to its classical version.

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de Broglie–Bohm analysis of a nonlinear membrane: From quantum to classical chaos

Santos Lima,

Paixão,

Tsallis

2024

Chaos: An Interdisciplinary Journal of Nonlinear Science

View full text Add to dashboard Cite

show abstract

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Numerical validation of Ehrenfest theorem in a Bohmian perspective for non-conservative systems

Cited by 1 publication

References 48 publications

de Broglie–Bohm analysis of a nonlinear membrane: From quantum to classical chaos

de Broglie–Bohm analysis of a nonlinear membrane: From quantum to classical chaos

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