Bonn 2025 – wissenschaftliches Programm
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Q: Fachverband Quantenoptik und Photonik
Q 72: Ultra-cold Atoms, Ions and BEC V (joint session A/Q)
Q 72.2: Vortrag
Freitag, 14. März 2025, 11:15–11:30, GrHS Mathe
Cold-atom simulator of a (2+1)D U(1) quantum link model — •Peter Majcen1,2, Jesse J. Osborne3, Bing Yang4, Simone Montangero1,2, Pietro Silvi1,2, Philip Hauke5, and Jad C. Halimeh6,7 — 1University of Padua, Italy — 2INFN Padua, Italy — 3University of Queensland, Australia — 4Southern University of Science and Technology, China — 5University of Trento, Italy — 6MPI of Quantum Optics, Garching, Germany — 7LMU, Munich, Germany
The modern description of elementary particles and their interactions is formulated in the language of gauge theories, making them of great interest in theoretical physics. However, first-principle calculations for understanding the emergent phenomena are not always feasible. Possible solutions to this challenge include formulating a Hamiltonian lattice gauge theory and studying it using tensor network techniques or quantum simulators that emulate the dynamics of the theory of interest. A suitable platform for such quantum simulators is ultra-cold atoms. In this work, we adopt a quantum link formulation of QED and present a mapping of a U(1) Quantum Link Model (QLM) for spin S=1 in (2+1)D to a bosonic superlattice. We then propose a scheme for the realization of the target QLM on an extended Bose-Hubbard optical superlattice. Using perturbation theory, we derive an effective description of the QLM and relate its parameters to those of the extended Bose-Hubbard model. To validate the mapping, we show the stability of gauge invariance and the fidelity between the quench dynamics of the extended Bose-Hubbard model and the target QLM, over all accessible evolution times.
Keywords: quantum simulation; ultra-cold atoms; Bose-Hubbard; gauge theory; tensor network