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TT: Fachverband Tiefe Temperaturen
TT 33: Correlated Magnetism – Spin Liquids
TT 33.7: Vortrag
Mittwoch, 19. März 2025, 16:30–16:45, H33
Quantum simulation of fermionic, non-Abelian lattice gauge theories in (2+1)D — •Gaia De Paciani1,2, Lukas Homeier1,2,3, and Fabian Grusdt1,2 — 1Department of Physics and Arnold Sommerfeld Center for Theoretical Physics (ASC), Ludwig-Maximilians-Universität, München, Germany — 2Münich Center for Quantum Science and Technology (MCQST), München, Germany — 3University of Colorado, Boulder, Colorado
Understanding and simulating non-Abelian quantum spin-liquids and dimer models is an open challenge in the condensed matter and high energy physics landscape. Recent advancements in the field of quantum simulations have significantly expanded its potential for applications, particularly in the context of lattice gauge theories (LGTs). Nevertheless, maintaining gauge invariance throughout a simulation remains a critical challenge, especially for large-scale non-Abelian LGTs. We propose a novel approach to simulate non-Abelian U(N) LGTs with dynamical fermionic matter in (2+1) dimensions, enhancing the reliability of the simulation through the suppression of the occupation of gauge invariant sectors. We present a comprehensive framework to simulate gauge-invariant dynamics and we propose two experimental platforms -- utilizing ultracold alkaline-earth-like atoms and Rydberg-dressing -- to implement these models, enabling the quantum simulation of large-scale non-Abelian gauge theories in near-term experiments.
Keywords: Quantum Simulations; Lattice Gauge Theories; Ultracold Atoms