Semiclassical Mechanism for the Quantum Decay in Open Chaotic Systems

2008/05/23 by Daniel Waltner, Martha Gutierrez, Martha Gutiérrez +2 · 1 citation
Physics and Astronomy · #Chaotic #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Computer science #Exponential decay #Ionization #Photoionization #Physics #Quantum #Quantum chaos #Quantum chaos and dynamical systems #Quantum decoherence #Quantum dynamics #Quantum many-body systems #Quantum mechanics #Random matrix #Semiclassical physics #Statistical physics #cond-mat.mes-hall #nlin.CD

paper · pdf · doi:10.1103/physrevlett.101.174101

published as Physical Review Letters 101, 174101 (2008) · 4 pages, 2 figures

arxiv created 2008/05/23 · openalex publication_date 2008/10/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We address the decay in open chaotic quantum systems and calculate semiclassical corrections to the classical exponential decay. We confirm random matrix predictions and, going beyond, calculate Ehrenfest time effects. To support our results we perform extensive numerical simulations. Within our approach we show that certain (previously unnoticed) pairs of interfering, correlated classical trajectories are of vital importance. They also provide the dynamical mechanism for related phenomena such as photoionization and photodissociation, for which we compute cross-section correlations. Moreover, these orbits allow us to establish a semiclassical version of the continuity equation.

Citations

• Diagrammatic approach for open chaotic systems
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