Spin Exchange-Enabled Quantum Simulator for Large-Scale Non-Abelian Gauge Theories
Year: 2024
Type: article
Abstract: A central requirement for the faithful implementation of large-scale lattice gauge theories (LGTs) on quantum simulators is the protection of the underlying gauge symmetry. Recent advancements in the experimental realizations of large-scale LGTs have been impressive, albeit mostly restricted to Abelian gauge groups. Guided by this requirement for gauge protection, we propose an experimentally feasible approach to implement large-scale non-Abelian SU ( N ) and U ( N ) LGTs with dynamical matter in d + 1 D , enabled by two-body spin-exchange interactions realizing local emergent gauge-symmetry stabilizer terms. We present two concrete proposals for 2 + 1 D SU ( 2 ) and U ( 2 ) LGTs, including dynamical bosonic matter and induced plaquette terms, that can be readily implemented in current ultracold-molecule and next-generation ultracold-atom platforms. We provide numerical benchmarks showcasing experimentally accessible dynamics, and demonstrate the stability of the underlying non-Abelian gauge invariance. We develop a method to obtain the effective gauge-invariant model featuring the relevant magnetic plaquette and minimal gauge-matter coupling terms. Our approach paves the way towards near-term realizations of large-scale non-Abelian quantum link models in analog quantum simulators. Published by the American Physical Society 2024
Source: PRX Quantum
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $3,450
Awards: G1124226719, G1768993395, G1897041155, Eine neue Generation von Quantensimulatoren: von dynamischen Eichfeldern zu Gittereichtheorien, G4066435496, G434337789, EXC 2094: ORIGINS: Vom Ursprung des Universums bis zu den ersten Bausteinen des Lebens, FOR 2414: Artificial Gauge Fields and Interacting Topological Phases in Ultracold Atoms, QuantERA II ERA-NET Cofund in Quantum Technologies, G8688974293, EXC 2111: Munich Center for Quantum Science and Technology (MCQST)
OpenAlex ID: W4402983218