Supersolidity and Simplex Phases in Spin-1 Rydberg Atom Arrays

• URL: http://arxiv.org/abs/2407.17554v1
• Date: Wed, 24 Jul 2024 18:00:01 GMT
• Title: Supersolidity and Simplex Phases in Spin-1 Rydberg Atom Arrays
• Abstract summary: strongly correlated quantum phases of matter emerge in two-dimensional atom arrays. We identify a wealth of correlated states, including lattice supersolids and simplex phases, which can be naturally realized in near-term experiments.
• Score: 0.8246494848934447
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Neutral atoms become strongly interacting when their electrons are excited to loosely bound Rydberg states. We investigate the strongly correlated quantum phases of matter that emerge in two-dimensional atom arrays where three Rydberg levels are used to encode an effective spin-1 degree of freedom. Dipolar exchange between such spin-1 Rydberg atoms naturally yields two distinct models: (i) a two-species hardcore boson model, and (ii) upon tuning near a F\"orster resonance, a dipolar spin-1 XY model. Through extensive, large-scale infinite density matrix renormalization group calculations, we provide a broad roadmap predicting the quantum phases that emerge from these models on a variety of lattice geometries: square, triangular, kagome, and ruby. We identify a wealth of correlated states, including lattice supersolids and simplex phases, all of which can be naturally realized in near-term experiments.

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