Quantum simulation of two-dimensional $\mathrm{U(1)}$ gauge theory in Rydberg atom arrays

• URL: http://arxiv.org/abs/2212.10863v1
• Date: Wed, 21 Dec 2022 09:09:56 GMT
• Title: Quantum simulation of two-dimensional $\mathrm{U(1)}$ gauge theory in Rydberg atom arrays
• Authors: Zheng Zhou, Zheng Yan, Changle Liu, Yan Chen, and Xue-Feng Zhang
• Abstract summary: We propose a simple realization of $mathrmU(1)$ gauge theory on triangular lattice Rydberg atom arrays. Within experimentally accessible range, we find that the effective model well simulates various aspects of the $mathrmU(1)$ gauge theory.
• Score: 10.469381940915717
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Simulating $\mathrm{U(1)}$ 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 $\mathrm{U(1)}$ gauge theory on triangular lattice Rydberg atom arrays. Within experimentally accessible range, we find that the effective model well simulates various aspects of the $\mathrm{U(1)}$ 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 $\mathrm{U(1)}$ and $\mathbb Z_2$ gauge theories.

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