We study Heisenberg antiferromagnets through a graph-theoretic representation of their Hamiltonians. In the computational basis of a fixed-magnetization sector, the Heisenberg Hamiltonian equals a constant minus the weighted Laplacian of a graph whose vertices are spin configurations and whose edges connect configurati...
Mahmud Ashraf Shamim, M. Raj, Mohamed Hibat-Allah et al.· 2 citations
This work demonstrates that gap frustration provides a quantitative shield against NH spectral instability, with the frustration gap setting a critical threshold for PT-symmetry breaking, and establishes that physically-informed ansatz selection is crucial for reliable NH simulations.
Lavoisier Wah, Flore K. Kunst, Mohamed Hibat-Allah· 3 citations· ⚡1
This work shows that minSR can be stabilized through simple regularization techniques, enabling robust training of RNN-based NQS with only a few samples, and offers a promising pathway for using modern optimization techniques with autoregressive NQS to address open questions in quantum simulation.
Adi Attar, A. M. Aboussalah, Mohamed Hibat-Allah· 1 citation
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