Boundary-induced geometrical frustration in a square Rydberg-atom lattice
Abstract
We study geometric defects in square-lattice Rydberg-atom arrays induced by lattice-size parity in the striated density-wave phase. While odd-sized lattices select a single striated domain, even-sized lattices seed incompatible domains at the four corners, resulting in a π/2-rotation invariant state with a geometrical defect emanating from the lattice center. At larger detunings, we instead identify a π-rotation-invariant state with two domains nucleated by opposite corners and separated by a one-dimensional diagonal defect. We probe the state-preparation protocol on the Aquila atomic quantum processor and benchmark it with equilibrium and real-time dynamics tensor-network simulations. Our results assess the role of boundaries and lattice size in determining the global ordering in programmable quantum matter.
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BibTeX
@misc{rigobello2026boundaryinduced,
title = {{Boundary-induced geometrical frustration in a square Rydberg-atom lattice}},
author = {Marco Rigobello and Luka Pavešić and Daniel Jaschke and Pietro Silvi and Marco Di Liberto and Simone Montangero and Simone Notarnicola},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.20723},
eprint = {2610.20723},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.20723},
}
RIS
TY - UNPB
TI - Boundary-induced geometrical frustration in a square Rydberg-atom lattice
AU - Marco Rigobello
AU - Luka Pavešić
AU - Daniel Jaschke
AU - Pietro Silvi
AU - Marco Di Liberto
AU - Simone Montangero
AU - Simone Notarnicola
PY - 2026
DA - 2026/10/20
PB - arXiv
DO - 10.48550/arxiv.2610.20723
UR - https://arxiv.org/abs/2610.20723
AB - We study geometric defects in square-lattice Rydberg-atom arrays induced by lattice-size parity in the striated density-wave phase. While odd-sized lattices select a single striated domain, even-sized lattices seed incompatible domains at the four corners, resulting in a π/2-rotation invariant state with a geometrical defect emanating from the lattice center. At larger detunings, we instead identify a π-rotation-invariant state with two domains nucleated by opposite corners and separated by a one-dimensional diagonal defect. We probe the state-preparation protocol on the Aquila atomic quantum processor and benchmark it with equilibrium and real-time dynamics tensor-network simulations. Our results assess the role of boundaries and lattice size in determining the global ordering in programmable quantum matter.
ER -