SKM 2023 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 25: Many-Body Quantum Dynamics (joint session DY/TT)
DY 25.8: Vortrag
Mittwoch, 29. März 2023, 11:45–12:00, MOL 213
Controlling Many-Body Quantum Chaos — •Lukas Beringer1, Steven Tomsovic1,2, Juan Diego Urbina1, and Klaus Richter1 — 1Institut für Theoretische Physik, Universität Regensburg, D-93040 Regensburg, Germany — 2Department of Physics and Astronomy, Washington State University, Pullman, WA USA
Targeting in classical chaos control problems makes optimal use of the system’s exponential instabilities to direct a given initial state to a predetermined final target state. A generalization to chaotic quantum systems in the semiclassical regime is possible [1], but also requires controlling an initially localized evolving quantum state’s spreading. A coherent procedure of this kind enables directing highly excited, far-out-of-equilibrium states from an initial to some final target quantum state. Such methods have been successfully developed and applied to initially minimum uncertainty wave packets in a quantum kicked rotor system. The aim of our work is to extend those procedures to bosonic many-body systems. More specifically, we demonstrate how to make a localized quantum initial state follow special chaotic mean-field solutions of a Bose-Hubbard system toward an arbitrary localized target final state.
[1] S. Tomsovic, J. D. Urbina, and Klaus Richter, Controlling Quantum Chaos: Optimal Coherent Targeting, arXiv:2211.07408