Variational Gaussian Approximation for Quantum Dynamics
July 10, 2024
The Quantum Wednesday seminar series is part of the Thematic Einstein Semester “Mathematics for Quantum Technologies” (Summer 2024) funded by the Cluster of Excellence MATH+ and the Einstein Foundation Berlin.
Schedule
This seminar is part of the Berliner Oberseminar Nichtlineare partielle Differentialgleichungen (Langenbach-Seminar).
The talks starts at 2.15 pm.
Abstract
The talk considers the time-dependent Schrödinger equation with smooth magnetic and electric potentials in semiclassical scaling. We analyse nonlinearly parametrized approximations by single Gaussian wave packets via the Dirac–Frenkel variational principle. We derive ordinary differential equations of motion for the parameters of the variational solution. We present L2-error bounds and unexpectedly accurate observable error bounds.
This is joint work with S. Burkhard, B. Dörich, and M. Hochbruck.
Lecturer
Caroline Lasser is a professor of mathematics at Technical University Munich (TUM). Her research is focussed on numerical analysis and computational science. Her particular interest lies in Schrödinger equations, which describe molecular quantum processes from the atto- and femtosecond time scale. Caroline Lasser’s work ranges from rigorous mathematical analysis to algorithm design for the simulation of molecular quantum dynamics.
After studying mathematics at Munich’s Ludwig Maximilian University, she obtained her doctorate at TUM in 2004. From 2005 to 2010, she was junior research group leader and professor of applied mathematics at Freie Universität Berlin. She has spent lengthy periods doing research at New York University’s Courant Institute, the Mathematical Sciences Research Institute (MSRI) in Berkeley, USA, the University of Warwick, England and the Université Paris XII. Since 2010, she has held the position of professor of numerics for partial differential equations at TUM.
Location
The lectures will be held in the Erhardt Schmidt Lecture Room of the Weierstrass Institute for Applied Analysis and Stochastics (WIAS).
Address:
Mohrenstraße 39
D-10117 Berlin
Public Transport:
U2 Hausvogteiplatz
U5 Museumsinsel
U6 Stadtmitte
S5/S7/S75/S9 Friedrichstraße/ Hackescher Markt
Contact and Further Information
Secretariat: Andrea Eismann
Mohrenstr. 39
D–10117 Berlin
Phone: +49 30 20372-320
E-Mail: andrea.eismann@wias-berlin.de