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arXiv · 1809.04139

Quantum revival patterns from classical phase-space trajectories

Gabriel M. Lando·Raúl O. Vallejos·Gert-Ludwig Ingold·Alfredo M. Ozorio de Almeida
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Abstract

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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Gabriel M. Lando, Raúl O. Vallejos, Gert-Ludwig Ingold, Alfredo M. Ozorio de Almeida. 2018-09-11. Quantum revival patterns from classical phase-space trajectories. https://doi.org/10.1103/physreva.99.042125

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