Semiclassical Mechanism for the Quantum Decay in Open Chaotic Systems

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 photo-ionization and -dissociation, for which we compute cross section correlations. Moreover, these orbits allow us to establish a semiclassical version of the continuity equation.

4 pages, 2 figures

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• Random Lindblad Dynamics
• Semiclassical roots of universality in many-body quantum chaos
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• Semiclassical approach to the ac-conductance of chaotic cavities
• Quantum Corrections to Fidelity Decay in Chaotic Systems
• Conductance fluctuations in chaotic systems with tunnel barriers
• Semiclassics for chaotic systems with tunnel barriers
• Semiclassical Theory for Decay and Fragmentation Processes in Chaotic Quantum Systems
• Lattice scars: Surviving in an open discrete billiard
• Breakdown of Anderson localization in the transport of Bose-Einstein condensates through one-dimensional disordered potentials
• Weak localization with nonlinear bosonic matter waves
• Influence of boundary conditions on quantum escape
• The semiclassical continuity equation for open chaotic systems
• Semiclassical evaluation of expectation values
• Interplay between coherent and incoherent decay processes in chaotic systems: the role of quantum interference