English

Quantum Simulation of Two-Dimensional $\mathrm{U(1)}$ Gauge Theory in Rydberg and Rydberg-Dressed Atom Arrays

Quantum Physics 2025-05-15 v2 Statistical Mechanics Strongly Correlated Electrons Atomic Physics

Abstract

Simulating U(1)\mathrm{U(1)} quantum gauge theories with spatial dimension greater than one is of great physical significance yet has not been achieved experimentally. Here we propose a simple realization of U(1)\mathrm{U(1)} gauge theory on triangular lattice Rydberg atom arrays. Within experimentally accessible range, we find that the effective model well simulates various aspects of the U(1)\mathrm{U(1)} gauge theory, such as emergence of topological sectors, incommensurability, and the deconfined Rokhsar-Kivelson point. Our proposal is easy to implement experimentally and exhibits pronounced quantum dynamics compared with previous proposals realizing U(1)\mathrm{U(1)} and Z2\mathbb Z_2 gauge theories.

Keywords

Cite

@article{arxiv.2212.10863,
  title  = {Quantum Simulation of Two-Dimensional $\mathrm{U(1)}$ Gauge Theory in Rydberg and Rydberg-Dressed Atom Arrays},
  author = {Zheng Zhou and Zheng Yan and Changle Liu and Yan Chen and Xue-Feng Zhang},
  journal= {arXiv preprint arXiv:2212.10863},
  year   = {2025}
}

Comments

7 pages, 4 figures and supplemental materials 9 pages, 6 figues. Published version. arXiv admin note: text overlap with arXiv:2106.05518