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

Autor: Lima, Henrique Santos, Paixão, Matheus M. A., Tsallis, Constantino
Rok vydání: 2023
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1063/5.0175044
Popis: 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.
Comment: 8 pages
Databáze: arXiv