2005/03/08 by Gabriel G. Carlo, Giuliano Benenti, Dima L. Shepelyansky · 1 citation
Computer Science · Physics and Astronomy · #Nonlinear Dynamics and Pattern Formation #Quantum Mechanics and Applications #Quantum chaos and dynamical systems #cond-mat.other #nlin.CD #quant-ph
paper · pdf · doi:10.1103/physrevlett.95.164101
published as Phys. Rev. Lett. 95, 164101 (2005) · 4 pages, 4 figures
arxiv created 2005/03/08 · openalex publication_date 2005/10/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Using the quantum trajectories approach, we study the quantum dynamics of a dissipative chaotic system described by the Zaslavsky map. For strong dissipation the quantum wave function in the phase space collapses onto a compact packet which follows classical chaotic dynamics and whose area is proportional to the Planck constant. At weak dissipation the exponential instability of quantum dynamics on the Ehrenfest time scale dominates and leads to wave packet explosion. The transition from collapse to explosion takes place when the dissipation time scale exceeds the Ehrenfest time. For integrable nonlinear dynamics the explosion practically disappears leaving place to collapse.