Supersolidity and Simplex Phases in Spin-1 Rydberg Atom Arrays

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Hauptverfasser: Liu, Vincent S., Bintz, Marcus, Block, Maxwell, Samajdar, Rhine, Kemp, Jack, Yao, Norman Y.
Format: Preprint
Veröffentlicht: 2024
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author Liu, Vincent S.
Bintz, Marcus
Block, Maxwell
Samajdar, Rhine
Kemp, Jack
Yao, Norman Y.
author_facet Liu, Vincent S.
Bintz, Marcus
Block, Maxwell
Samajdar, Rhine
Kemp, Jack
Yao, Norman Y.
contents 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 Förster 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.
format Preprint
id arxiv_https___arxiv_org_abs_2407_17554
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Supersolidity and Simplex Phases in Spin-1 Rydberg Atom Arrays
Liu, Vincent S.
Bintz, Marcus
Block, Maxwell
Samajdar, Rhine
Kemp, Jack
Yao, Norman Y.
Quantum Gases
Strongly Correlated Electrons
Quantum Physics
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 Förster 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.
title Supersolidity and Simplex Phases in Spin-1 Rydberg Atom Arrays
topic Quantum Gases
Strongly Correlated Electrons
Quantum Physics
url https://arxiv.org/abs/2407.17554