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This study uses the Aquila neutral-atom quantum processor to examine how lattice size and boundaries shape ordering in a Rydberg-atom array, and it benchmarks the results against tensor-network simulations. The findings matter for quantum simulation users because boundary effects and parity-dependent defects can distort the states a programmable device produces. Readers building or evaluating analog quantum simulators should treat these edge effects as a design constraint when interpreting results.
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Boundary-induced geometrical frustration in a square Rydberg-atom lattice

arXiv2 min read

arXiv:2610.20723v1 Announce Type: cross 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 {\pi}/2-rotation invariant state with a geometrical defect emanating from the lattice center. At larger detunings, we instead identify a {\pi}-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.

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 {\pi}/2-rotation invariant state with a geometrical defect emanating from the lattice center. At larger detunings, we instead identify a {\pi}-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.

Quantum Gases (cond-mat.quant-gas); Quantum Physics (quant-ph)

arXiv:2610.20723 [cond-mat.quant-gas]

(or arXiv:2610.20723v1 [cond-mat.quant-gas] for this version)

https://doi.org/10.48550/arXiv.2610.20723 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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Full text under the publisher's open licence · 209 words

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