de Broglie-Bohm analysis of a nonlinear membrane: From quantum to classical chaos
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866910339905355776 |
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| author | Lima, Henrique Santos Paixão, Matheus M. A. Tsallis, Constantino |
| author_facet | Lima, Henrique Santos Paixão, Matheus M. A. Tsallis, Constantino |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_07178 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | de Broglie-Bohm analysis of a nonlinear membrane: From quantum to classical chaos Lima, Henrique Santos Paixão, Matheus M. A. Tsallis, Constantino Quantum Physics Computational Physics 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. |
| title | de Broglie-Bohm analysis of a nonlinear membrane: From quantum to classical chaos |
| topic | Quantum Physics Computational Physics |
| url | https://arxiv.org/abs/2308.07178 |