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Quantum Simulation of Two-Dimensional U(1) Gauge Theory in Rydberg and Rydberg-Dressed Atom Arrays
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Quantum Simulation of Two-Dimensional U(1) Gauge Theory in Rydberg and Rydberg-Dressed Atom Arrays
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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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Cited by 1 Pith paper
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Order-by-disorder and emergent Kosterlitz-Thouless phase in triangular Rydberg array
Numerical simulations of the Rydberg triangular lattice model show order-by-disorder √3×√3 order at half filling and an emergent KT phase at finite temperature.
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