Semiclassical mechanism for the quantum decay in open chaotic systems.
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.
Waltner
Daniel
D
Institut für Theoretische Physik, Universität Regensburg, Regensburg, Germany.
Gutiérrez
Martha
M
Goussev
Arseni
A
Richter
Klaus
K