Designing Strongly Correlated Quantum Phases of Matter with Foundation Neural-Network Quantum States

arXiv:2609.40209 · cond-mat.str-el, cond-mat.dis-nn · Submitted 2026-09-30 · Read on arXiv

cond-mat.str-el, cond-mat.dis-nn

Submitted: 2026-09-30

Updated: 2026-09-30

Terminology

• Inverse Design — 19× in this paper · explained in 2 episodes
• Neural-Network Quantum States — 7× in this paper
• Ab Initio — 6× in this paper · explained in 1 episode
• Generalization — 5× in this paper · explained in 13 episodes
• Entanglement — 4× in this paper · explained in 4 episodes
• Inverse Problem — 4× in this paper · explained in 2 episodes
• Adam — 3× in this paper · explained in 2 episodes
• Antiferromagnetism — 3× in this paper · explained in 1 episode
• Hubbard Model — 3× in this paper · explained in 3 episodes
• Topological Order — 3× in this paper · explained in 2 episodes
• Accuracy — 2× in this paper · explained in 1 episode
• Altermagnets — 2× in this paper · explained in 2 episodes
• Benchmark — 2× in this paper · explained in 2 episodes
• Fidelity — 2× in this paper · explained in 2 episodes
• Phase Transitions — 2× in this paper · explained in 2 episodes
• Transformer — 2× in this paper · explained in 2 episodes
• Anyons — 1× in this paper · explained in 2 episodes
• As in Variational Monte Carlo — 1× in this paper
• Computational overhead — 1× in this paper · explained in 2 episodes
• Effective Hamiltonian — 1× in this paper · explained in 2 episodes
• Fisher Information — 1× in this paper · explained in 3 episodes
• Foundation NeuralNetwork Quantum States — 1× in this paper
• Frustration — 1× in this paper · explained in 2 episodes
• Hilbert Space — 1× in this paper · explained in 2 episodes
• Loss Function — 1× in this paper · explained in 2 episodes
• Quantum Physics — 1× in this paper · explained in 10 episodes
• Stochastic Gradient Descent — 1× in this paper
• Stochastic Gradient Descent (SGD) — 1× in this paper · explained in 5 episodes
• Stochastic Reconfiguration — 1× in this paper

Sources

• Gradient-based search of quantum phases: discovering unconventional fractional Chern insulators
• Inverse Quantum Simulation for Quantum Material Design
• From the Square Lattice to the Checkerboard Lattice : Spin Wave and Large-n Analysis
• $J_{1} - J_{2} - \delta$ model on a square lattice: From Altermagnet to Columnar antiferromagnet via quantum disordered phase
• Altermagnetism and bond-nematicity in the spin-$1/2$ square lattice $J_1-J_2-\delta$ model
• Adam: A Method for Stochastic Optimization
• Quantum Spin Glass in the Two-Dimensional Disordered Heisenberg Model via Foundation Neural-Network Quantum States
• Unveiling nonmagnetic phase and many-body entanglement in two-dimensional random quantum magnets Sr$_2$CuTe$_{1-x}$W$_x$O$_6$
• Superconductivity in the two-dimensional Hubbard model revealed by neural quantum states
• Beyond Variational Bias: Resolving Intertwined Orders in the Hubbard Model
• Superconductivity in the $t$-$t'$ Hubbard Model from Symmetry-Preserving Neural-Network Quantum States

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