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New graph theory approach simplifies Heisenberg antiferromagnet analysis

By PulseAugur Editorial · [1 sources] ·

A new paper introduces a graph-theoretic framework for analyzing Heisenberg antiferromagnets, representing their Hamiltonians as weighted graphs. This approach connects the ground-state energy to the maximum eigenvalue of the graph Laplacian, which is equivalent to solving a weighted Max-Cut problem. The research also establishes a link between phase optimization in variational Monte Carlo and solving an Ising model on this graph, offering a unified perspective on wave function sign structures and Monte Carlo methods. AI

RANK_REASON The cluster contains a single arXiv paper detailing a new theoretical framework for analyzing a specific type of physical system. [lever_c_demoted from research: ic=1 ai=0.1]

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New graph theory approach simplifies Heisenberg antiferromagnet analysis

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The cluster contains a single arXiv paper detailing a new theoretical framework for analyzing a specific type of physical system. [lever_c_demoted from research: ic=1 ai=0.1]
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COVERAGE [1]

  1. arXiv cs.AI TIER_1 English(EN) · Mahmud Ashraf Shamim, Md Moshiur Rahman Raj, Mohamed Hibat-Allah, Paulo T Araujo ·

    Graph-Theoretic Analysis of Phase Optimization Complexity in Variational Wave Functions for Heisenberg Antiferromagnets

    arXiv:2602.04943v4 Announce Type: replace-cross Abstract: We study the computational complexity of learning the ground state phase structure of Heisenberg antiferromagnets. Representing Hilbert space as a weighted graph, the variational energy defines a weighted XY model that, fo…

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