GEM: An implementation of the ghost-Gutzwiller approximation for simulating interacting quantum systems

arXiv:2609.32633 · cond-mat.str-el, cond-mat.mtrl-sci, physics.comp-ph · Submitted 2026-09-26 · Read on arXiv

cond-mat.str-el, cond-mat.mtrl-sci, physics.comp-ph

Submitted: 2026-09-26

Updated: 2026-09-26

Code: https://github.com/TRIQS/gem

Terminology

• Consistency — 34× in this paper · explained in 3 episodes
• Self-consistency — 31× in this paper · explained in 2 episodes
• Hubbard Model — 8× in this paper · explained in 3 episodes
• Accuracy — 3× in this paper · explained in 1 episode
• Benchmarking — 2× in this paper · explained in 4 episodes
• Core — 2× in this paper · explained in 2 episodes
• Ghost Embedding Method — 2× in this paper
• Hilbert Space — 2× in this paper · explained in 2 episodes
• Ab Initio — 1× in this paper · explained in 1 episode
• Benchmark — 1× in this paper · explained in 2 episodes
• Degeneracy — 1× in this paper · explained in 3 episodes
• Department of Energy — 1× in this paper
• Effective Hamiltonian — 1× in this paper · explained in 2 episodes
• Fidelity — 1× in this paper · explained in 2 episodes
• Foundation Model — 1× in this paper · explained in 3 episodes
• Gauge Freedom — 1× in this paper · explained in 2 episodes
• Matrix Product States (MPS) — 1× in this paper · explained in 2 episodes
• National Science and Technology Council — 1× in this paper
• Quantum Physics — 1× in this paper · explained in 11 episodes

Sources

• Unifying Variational and Dynamical Quantum Embedding: From Ghost Gutzwiller Approximation to Dynamical Mean-Field Theory
• Enhanced coherence and layer-selective charge order in a trilayer cuprate superconductor
• Magnetic phases of the anisotropic triangular Hubbard model from the ghost-Gutzwiller approximation in the rotating spin-frame
• Accelerating dynamical mean-field theory convergence by preconditioning with computationally cheaper quantum embedding methods
• Ghost-RISB for Correlated Electron-Phonon Systems: Application to the Hubbard-Holstein Model
• Perturbation theory for Hermitian matrix-functions based on vector-fields

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