Quantum spin ice in three-dimensional Rydberg atom arrays

• URL: http://arxiv.org/abs/2301.04657v2
• Date: Sat, 15 Jun 2024 02:19:45 GMT
• Title: Quantum spin ice in three-dimensional Rydberg atom arrays
• Authors: Jeet Shah, Gautam Nambiar, Alexey V. Gorshkov, Victor Galitski,
• Abstract summary: Quantum spin liquids are exotic phases of matter whose low-energy physics is described as the deconfined phase of an emergent gauge theory. We propose a way to realize a $U(1)$ quantum spin liquid in three spatial dimensions on a Rydberg-based quantum simulator.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Quantum spin liquids are exotic phases of matter whose low-energy physics is described as the deconfined phase of an emergent gauge theory. With recent theory proposals and an experiment showing preliminary signs of $\mathbb{Z}_2$ topological order [G. Semeghini et al., Science 374, 1242 (2021)], Rydberg atom arrays have emerged as a promising platform to realize a quantum spin liquid. In this work, we propose a way to realize a $U(1)$ quantum spin liquid in three spatial dimensions, described by the deconfined phase of $U(1)$ gauge theory in a pyrochlore lattice Rydberg atom array. We study the ground state phase diagram of the proposed Rydberg system as a function of experimentally relevant parameters. Within our calculation, we find that by tuning the Rabi frequency, one can access both the confinement-deconfinement transition driven by a proliferation of "magnetic" monopoles and the Higgs transition driven by a proliferation of "electric" charges of the emergent gauge theory. We suggest experimental probes for distinguishing the deconfined phase from ordered phases. This work serves as a proposal to access a confinement-deconfinement transition in three spatial dimensions on a Rydberg-based quantum simulator.

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