Quantum revival patterns from classical phase-space trajectories

  • A general semiclassical method in phase space based on the final value representation of the Wigner function is considered that bypasses caustics and the need to root search for classical trajectories. We demonstrate its potential by applying the method to the Kerr Hamiltonian, for which the exact quantum evolution is punctuated by a sequence of intricate revival patterns. The structure of such revival patterns, lying far beyond the Ehrenfest time, is semiclassically reproduced and revealed as a consequence of constructive and destructive interferences of classical trajectories.

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Author:Gabriel Mousinho Lando, Raúl Oscar Vallejos, Gert-Ludwig IngoldORCiDGND, Alfredo Miguel Ozorio de AlmeidaORCiD
Frontdoor URLhttps://opus.bibliothek.uni-augsburg.de/opus4/52686
Parent Title (English):Physical Review A
Year of first Publication:2019
Publishing Institution:Universität Augsburg
Release Date:2019/05/09
First Page:042125
Institutes:Mathematisch-Naturwissenschaftlich-Technische Fakultät
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Physik
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Physik / Lehrstuhl für Theoretische Physik I
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik
Licence (German):Deutsches Urheberrecht