Exact and fast series expansions for quantum models with long-range interactions

arXiv:2609.18761 · cond-mat.str-el, cond-mat.stat-mech, quant-ph · Submitted 2026-09-16 · Read on arXiv

cond-mat.str-el, cond-mat.stat-mech, quant-ph

Submitted: 2026-09-16

Updated: 2026-10-05

Comments: 33 pages, 17 figures

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Monte Carlo — 19× in this paper
• Embeddings — 12× in this paper · explained in 2 episodes
• Cluster expansion — 11× in this paper · explained in 2 episodes
• Benchmark — 8× in this paper · explained in 2 episodes
• Phase Transitions — 8× in this paper · explained in 2 episodes
• Accuracy — 5× in this paper · explained in 1 episode
• Core — 5× in this paper · explained in 2 episodes
• Effective Hamiltonian — 4× in this paper · explained in 2 episodes
• Entanglement — 4× in this paper · explained in 3 episodes
• Redundancy — 3× in this paper · explained in 2 episodes
• Universality Class — 3× in this paper · explained in 2 episodes
• Anisotropy — 2× in this paper · explained in 3 episodes
• Consistency — 2× in this paper · explained in 3 episodes
• Fidelity — 2× in this paper · explained in 2 episodes
• Frustration — 2× in this paper · explained in 2 episodes
• Generalization — 2× in this paper · explained in 13 episodes
• Hubbard Model — 2× in this paper · explained in 3 episodes
• Ab Initio — 1× in this paper · explained in 1 episode
• Adam — 1× in this paper · explained in 2 episodes
• Adaptation — 1× in this paper · explained in 1 episode
• Computational overhead — 1× in this paper · explained in 2 episodes
• Entanglement Entropy — 1× in this paper · explained in 2 episodes
• First-Order Transition — 1× in this paper · explained in 2 episodes
• Momentum transfer — 1× in this paper · explained in 2 episodes
• Quantization — 1× in this paper · explained in 12 episodes
• Symmetry Breaking — 1× in this paper · explained in 3 episodes
• Transformer — 1× in this paper · explained in 2 episodes

Sources

• Unconventional entanglement scaling and quantum criticality in the long-range spin-one Heisenberg chain with single-ion anisotropy
• One-to-one quantum simulation of a frustrated magnet with 256 qubits
• DysonNet: Constant-Time Local Updates for Neural Quantum States
• Adaptive Neural Quantum States: A Recurrent Neural Network Perspective

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