Dissipative quantum chaos: transition from wave packet collapse to explosion

Details Dissipative quantum chaos: transition from wave packet collapse to explosion Dissipative quantum chaos: transition from wave packet collapse to explosion

2005-03-08

arxiv.org/abs/quant-ph/0503081v1

Phys. Rev. Lett. 95, 164101 (2005)

Physics

Quantum Physics

4 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.95.164101

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.

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