PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Mari Royer, Yakov Pesin, Anatole Katok, Svetlana Katok, Dmitri Burago.

Title:Dynamical Entropies in Quantum Mechanics: Relevance and Problems
Seminar:Center for Dynamics and Geometry Seminars
Speaker:Giorgio Mantica, Insubria
Abstract:
I shall discuss the relevance of the Alicki-Fannes dynamical entropy to a definition of quantum chaos that would provide rigour to the problem and that might also be used pragmatically. In this respect I shall outline the problems arising in its numerical computation for model systems like the quantum Arnol'd cat. I will present a technique based on exploiting the algebraic properties of a "decoherence" matrix within a large-matrix algorithm originally developed by Gene Golub. The talk will aim at giving a general perspective of the combination of dynamical systems, quantum mechanics and numerical analysis that is present in this problem.

Room Reservation Information

Room Number:MB106
Date:08 / 27 / 2008
Time:03:30pm - 05:30pm