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QI: Fachverband Quanteninformation
QI 34: Quantum Control I
QI 34.1: Vortrag
Donnerstag, 13. März 2025, 14:30–14:45, HS II
Controlling Many-Body Quantum Chaos — •Lukas Beringer1, Mathias Steinhuber1, Juan Diego Urbina1, Klaus Richter1, and Steven Tomsovic1,2 — 1Institut für Theoretische Physik, Universität Regensburg, D-93040 Regensburg, Germany — 2Department of Physics and Astronomy, Washington State University, Pullman, WA USA
Controlling chaos is a well-established technique that leverages the exponential sensitivity of classical chaotic systems for efficient control. This concept has been generalized to single-particle quantum systems [1] and, more recently, extended to bosonic many-body quantum systems described by the Bose-Hubbard model [2]. In direct analogy to the classical paradigm, a localized quantum state can be transported along a specific trajectory to a desired target state. In the latter context, this approach reduces to time-dependent control of the chemical potentials, making it suitable for implementation in optical lattice experiments. Highlighted potential applications are rapid, customizable state preparation and stabilization of quantum many-body scars in one-, two-, and three-dimensional lattices. Recent progress includes potential applications to large time-crystal platforms and preparation protocols for entangled states, such as cat-like states.
[1] S. Tomsovic, J. D. Urbina, and Klaus Richter, Controlling Quantum Chaos: Optimal Coherent Targeting, PRL 130.2 (2023): 020201.
[2] L. Beringer, M. Steinhuber, J. D. Urbina, K. Richter, S. Tomsovic, Controlling many-body quantum chaos: Bose-Hubbard systems, New J. Phys (2024): 26 073002.
Keywords: quantum control; many-body quantum chaos; cold gases in optical lattices; far-from-equilibrium dynamics; Bose Hubbard