Compact representation of strongly correlated Green's functions: the MOR+EC way to explore phase space

arXiv:2609.28647 · cond-mat.str-el, cond-mat.mtrl-sci · Submitted 2026-09-23 · Read on arXiv

cond-mat.str-el, cond-mat.mtrl-sci

Submitted: 2026-09-23

Updated: 2026-09-23

Terminology

• Accuracy — 20× in this paper · explained in 1 episode
• Eigenvector Continuation — 13× in this paper
• Hilbert Space — 8× in this paper · explained in 2 episodes
• Consistency — 7× in this paper · explained in 3 episodes
• Self-consistency — 7× in this paper · explained in 2 episodes
• Dynamical Mean Field Theory — 6× in this paper
• Fidelity — 5× in this paper · explained in 2 episodes
• Hubbard Model — 5× in this paper · explained in 3 episodes
• Ab Initio — 4× in this paper · explained in 1 episode
• Benchmark — 4× in this paper · explained in 2 episodes
• Hysteresis — 4× in this paper · explained in 3 episodes
• Dynamical Mean Field Theory (DMFT) — 3× in this paper · explained in 2 episodes
• Benchmarking — 2× in this paper · explained in 3 episodes
• Core — 2× in this paper · explained in 2 episodes
• Robustness — 2× in this paper · explained in 5 episodes
• AAA algorithm — 1× in this paper · explained in 1 episode
• Adaptive Sampling — 1× in this paper · explained in 1 episode
• Adaptive Selection — 1× in this paper · explained in 1 episode
• Combining Model Order Reduction — 1× in this paper
• Convergence Guarantees — 1× in this paper · explained in 3 episodes
• Decoupling — 1× in this paper · explained in 2 episodes
• Foundation Model — 1× in this paper · explained in 3 episodes
• Generalization — 1× in this paper · explained in 13 episodes
• Phase Transitions — 1× in this paper · explained in 2 episodes
• Singular Value Decomposition (SVD) — 1× in this paper · explained in 2 episodes
• Trace — 1× in this paper · explained in 2 episodes

Sources

• Operator Lanczos Approach enabling Neural Quantum States as Real-Frequency Impurity Solvers
• Subspace Diagonalization on Quantum Computers using Eigenvector Continuation
• Nested Operator Inference for Adaptive Data-Driven Learning of Reduced-order Models
• Multivariate Rational Approximation via Low-Rank Tensors and the p-AAA Algorithm
• Unifying Variational and Dynamical Quantum Embedding: From Ghost Gutzwiller Approximation to Dynamical Mean-Field Theory
• Direct minimization versus iterative embedding in the ghost-Gutzwiller method: a comparative study of magnetism in Mott insulators
• Fractionalized Fermi liquids with the ghost-Gutzwiller Ansatz
• Ghost-RISB for Correlated Electron-Phonon Systems: Application to the Hubbard-Holstein Model

Related papers

• Microscopic Constructions of the BF+AAB Topological Field Theory and Borromean-Rings Braiding in (3+1) Dimensions
• Transport in the emergent Bose liquid: Bad metal, strange metal, and weak insulator, all in one system
• Magnetic field induced phenomena in Kitaev spin liquids
• Electronic Structure and Dynamical Correlations in Antiferromagnetic BiFeO 3
• Dynamics and stability of U(1) spin liquids beyond mean-field theory: Triangular-lattice J 1 - J 2 Heisenberg model
• Topological Mixed States: Phases of Matter from Axiomatic Approaches