Scalable Spin Squeezing in Power-Law Interacting XXZ Models with Disorder

Fuente: arXiv
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Autores principales: Begg, Samuel E., Ghosh, Bishal K., Zu, Chong, Zhang, Chuanwei, Kolodrubetz, Michael
Formato: Preprint
Publicado: 2026
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author Begg, Samuel E.
Ghosh, Bishal K.
Zu, Chong
Zhang, Chuanwei
Kolodrubetz, Michael
author_facet Begg, Samuel E.
Ghosh, Bishal K.
Zu, Chong
Zhang, Chuanwei
Kolodrubetz, Michael
contents While spin squeezing has been traditionally considered in all-to-all interacting models, recent works have shown that it can also occur in systems with power-law interactions, enabling direct tests in Rydberg atoms, trapped ions, ultracold atoms, and nitrogen-vacancy (NV) centers in diamond. For the latter, Wu et al. Nature 646 (2025) demonstrated that spin squeezing is heavily affected by positional disorder, reducing any capacity for a practical squeezing advantage, which requires scalability with the system size. In this Letter we explore the robustness of spin squeezing in two-dimensional lattices with a fraction of unoccupied lattice sites. Using semiclassical modeling, we demonstrate the existence of scalable squeezing in power-law interacting XXZ models up to a disorder threshold, above which squeezing is not scalable. We produce a phase diagram for scalable squeezing, and explain its absence in the aforementioned NV experiment. Our work illustrates the maximum disorder allowed for realizing scalable spin squeezing in a host of quantum simulators, highlights a regime with substantial tolerance to disorder, and identifies controlled defect creation as a promising route for scalable squeezing in solid-state systems.
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publishDate 2026
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spellingShingle Scalable Spin Squeezing in Power-Law Interacting XXZ Models with Disorder
Begg, Samuel E.
Ghosh, Bishal K.
Zu, Chong
Zhang, Chuanwei
Kolodrubetz, Michael
Quantum Physics
Mesoscale and Nanoscale Physics
Quantum Gases
While spin squeezing has been traditionally considered in all-to-all interacting models, recent works have shown that it can also occur in systems with power-law interactions, enabling direct tests in Rydberg atoms, trapped ions, ultracold atoms, and nitrogen-vacancy (NV) centers in diamond. For the latter, Wu et al. Nature 646 (2025) demonstrated that spin squeezing is heavily affected by positional disorder, reducing any capacity for a practical squeezing advantage, which requires scalability with the system size. In this Letter we explore the robustness of spin squeezing in two-dimensional lattices with a fraction of unoccupied lattice sites. Using semiclassical modeling, we demonstrate the existence of scalable squeezing in power-law interacting XXZ models up to a disorder threshold, above which squeezing is not scalable. We produce a phase diagram for scalable squeezing, and explain its absence in the aforementioned NV experiment. Our work illustrates the maximum disorder allowed for realizing scalable spin squeezing in a host of quantum simulators, highlights a regime with substantial tolerance to disorder, and identifies controlled defect creation as a promising route for scalable squeezing in solid-state systems.
title Scalable Spin Squeezing in Power-Law Interacting XXZ Models with Disorder
topic Quantum Physics
Mesoscale and Nanoscale Physics
Quantum Gases
url https://arxiv.org/abs/2601.10703