Graph lattice sums and graph zeta functions for long-range interacting quantum lattice models

arXiv:2609.18918 · math.NA, cond-mat.str-el, cs.NA, math.NT, quant-ph · Submitted 2026-09-16 · Read on arXiv

math.NA, cond-mat.str-el, cs.NA, math.NT, quant-ph

Submitted: 2026-09-16

Updated: 2026-09-16

Code: https://github.com/graph-zeta/gzl

Terminology

• Core — 15× in this paper · explained in 2 episodes
• Benchmark — 14× in this paper · explained in 2 episodes
• Accuracy — 7× in this paper · explained in 1 episode
• Hilbert Space — 7× in this paper · explained in 2 episodes
• Graph Zeta Library — 5× in this paper
• Cluster expansion — 3× in this paper · explained in 2 episodes
• Phase Transitions — 3× in this paper · explained in 2 episodes
• Generalization — 2× in this paper · explained in 13 episodes
• Fast Fourier Transforms — 1× in this paper
• Higher-order derivatives — 1× in this paper · explained in 2 episodes
• Regularization — 1× in this paper · explained in 3 episodes

Sources

• Scaling at quantum phase transitions above the upper critical dimension

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