Dresden 2026 – wissenschaftliches Programm
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QI: Fachverband Quanteninformation
QI 4: Quantum Manybody Systems (joint session QI/TT)
QI 4.3: Vortrag
Montag, 9. März 2026, 15:45–16:00, BEY/0245
Hybrid Monte Carlo enhanced by exact diagonalization: simulating interacting Hubbard systems — •Martina Gisti1, Finn Temmen2, Thomas Luu1, David Luitz2, and Johann Ostmeyer3 — 1Institute of Physics, University of Bonn, Nußallee 12, 53115 Bonn — 2Forschungszentrum Jülich GmbH Wilhelm-Johnen-Straße 52428 Jülich — 3Helmholtz Institute for Radiation and Nuclear Physics, University of Bonn
We present a hybrid simulation framework that integrates the hybrid Monte Carlo method with exact diagonalization techniques to study Hubbard chains coupled through many-body interactions. Within a path integral formulation, thermal expectation values are expressed and evaluated exactly along the chains. We study the impact of the hybrid method on persistent challenges in the application of stochastic simulations, such as the sign problem and ergodicity violations. The approach mitigates the sign problem that hampers conventional simulations, providing a feasible path for studying strongly correlated quantum systems beyond one dimension.
Keywords: Matrix Product Operator; Hybrid Monte Carlo; Strongly Correlated Systems; Quantum Many-Body Systems; Hubbard Chains