Halimeh, Jad C. and Homeier, Lukas and Bohrdt, Annabelle and Grusdt, Fabian (2024) Spin Exchange-Enabled Quantum Simulator for Large-Scale Non-Abelian Gauge Theories. PRX QUANTUM, 5 (3): 030358. ISSN 2691-3399
Full text not available from this repository. (Request a copy)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 + 1D, enabled by two-body spin-exchange interactions realizing local emergent gauge-symmetry stabilizer terms. We present two concrete proposals for 2 + 1D 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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | INVARIANCE; DYNAMICS |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics > Chair Professor Grifoni > Group Milena Grifoni |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 09 Dec 2025 10:56 |
| Last Modified: | 09 Dec 2025 10:56 |
| URI: | https://pred.uni-regensburg.de/id/eprint/65257 |
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