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Article Dans Une Revue Physical Review Letters Année : 2005

Dissipative quantum chaos: transition from wave packet collapse to explosion

Gabriel G. Carlo
  • Fonction : Auteur
Giuliano Benenti
  • Fonction : Auteur
Dima Shepelyansky

Résumé

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.

Dates et versions

hal-00124287 , version 1 (12-01-2007)

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Citer

Gabriel G. Carlo, Giuliano Benenti, Dima Shepelyansky. Dissipative quantum chaos: transition from wave packet collapse to explosion. Physical Review Letters, 2005, 95, pp.164101. ⟨10.1103/PhysRevLett.95.164101⟩. ⟨hal-00124287⟩
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