Exploring ground state phase diagrams of Rydberg atom arrays with finite projected entangled-pair states
Abstract
Rydberg atom arrays (RAA) have been advocated as a promising avenue for the quantum simulation of different exotic quantum states. Numerical predictions for the ground state properties of this experimental platform can, however, be challenging in two-dimensional setups. In particular, faithfully treating long-range interactions is often crucial for distinguishing the fate of competing phases, but it usually comes at considerable cost. Projected entangled-pair states (PEPS), optimized via a sampling-based approach, have been shown to deal with such terms on the same ground as shorter-range ones. In this work, we employ these tools to investigate debated physical questions in different frustrated geometries of RAA, from the emergence of spin-glass physics on the Kagomé lattice to topological order beyond the PXP model on the Ruby lattice. By that, we contribute to establishing PEPS as well-suited tools for creating digital twins of RAA experiments.
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BibTeX
@misc{schroder2026exploring,
title = {{Exploring ground state phase diagrams of Rydberg atom arrays with finite projected entangled-pair states}},
author = {Konrad Schröder and Erik Lennart Weerda and Matteo Rizzi},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.26520},
eprint = {2610.26520},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.26520},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Exploring ground state phase diagrams of Rydberg atom arrays with finite projected entangled-pair states
AU - Konrad Schröder
AU - Erik Lennart Weerda
AU - Matteo Rizzi
PY - 2026
DA - 2026/10/19
PB - arXiv
DO - 10.48550/arxiv.2610.26520
UR - https://arxiv.org/abs/2610.26520
AB - Rydberg atom arrays (RAA) have been advocated as a promising avenue for the quantum simulation of different exotic quantum states. Numerical predictions for the ground state properties of this experimental platform can, however, be challenging in two-dimensional setups. In particular, faithfully treating long-range interactions is often crucial for distinguishing the fate of competing phases, but it usually comes at considerable cost. Projected entangled-pair states (PEPS), optimized via a sampling-based approach, have been shown to deal with such terms on the same ground as shorter-range ones. In this work, we employ these tools to investigate debated physical questions in different frustrated geometries of RAA, from the emergence of spin-glass physics on the Kagomé lattice to topological order beyond the PXP model on the Ruby lattice. By that, we contribute to establishing PEPS as well-suited tools for creating digital twins of RAA experiments.
ER -