Perfect Born Sampling of Symmetric Thermal Tensor Network for Quantum Lattice Models

arXiv:2609.35754 · cond-mat.str-el · Submitted 2026-09-28 · Read on arXiv

cond-mat.str-el

Submitted: 2026-09-28

Updated: 2026-09-28

Terminology

• Hubbard Model — 36× in this paper · explained in 3 episodes
• Benchmark — 15× in this paper · explained in 2 episodes
• Core — 9× in this paper · explained in 2 episodes
• Hilbert Space — 8× in this paper · explained in 2 episodes
• Accuracy — 6× in this paper · explained in 1 episode
• Entanglement — 6× in this paper · explained in 3 episodes
• Antiferromagnetic Correlation — 3× in this paper · explained in 1 episode
• Antiferromagnetism — 3× in this paper · explained in 1 episode
• Frustration — 3× in this paper · explained in 2 episodes
• Generalization — 3× in this paper · explained in 13 episodes
• Trace — 2× in this paper · explained in 2 episodes
• Generative Modeling — 1× in this paper · explained in 3 episodes
• Local Optimization — 1× in this paper · explained in 2 episodes
• Metallicity — 1× in this paper · explained in 3 episodes
• Particle-hole asymmetry — 1× in this paper · explained in 2 episodes
• Post-Selection — 1× in this paper · explained in 2 episodes
• Sample Complexity — 1× in this paper · explained in 15 episodes

Sources

• Thermal Hall transport in Kitaev spin liquids
• Fluctuating Pair Density Wave in Finite-temperature Phase Diagram of the $t$-$t^\prime$ Hubbard Model
• TensorKit.jl: A Julia package for large-scale tensor computations, with a hint of category theory
• Perfect Sampling with Unitary Tensor Networks
• Renormalization algorithms for Quantum-Many Body Systems in two and higher dimensions
• Tangent space Krylov computation of real-frequency spectral functions: Influence of density-assisted hopping on 2D Mott physics

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