Bootstrapping Disordered Quantum Systems

arXiv:2609.20916 · cond-mat.str-el, cond-mat.dis-nn · Submitted 2026-09-17 · Read on arXiv

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

Submitted: 2026-09-17

Updated: 2026-09-17

Comments: 10 pages, 6 figures

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

Terminology

• Hilbert Space — 3× in this paper · explained in 2 episodes
• Generalization — 2× in this paper · explained in 13 episodes
• Accuracy — 1× in this paper · explained in 1 episode
• Core — 1× in this paper · explained in 2 episodes
• Domain Walls — 1× in this paper · explained in 2 episodes
• Entanglement — 1× in this paper · explained in 4 episodes
• Phase Transitions — 1× in this paper · explained in 2 episodes
• Spectral Gap — 1× in this paper · explained in 5 episodes
• Symmetry Breaking — 1× in this paper · explained in 4 episodes

Sources

• Numerical exploration of the bootstrap in spin chain models
• Bootstrapping the Electronic Structure of Quantum Materials
• Thermal Bootstrap of Matrix Quantum Mechanics
• Coarse-grained Bootstrap of Quantum Many-body Systems
• Bootstrapping Euclidean Two-point Correlators
• Bootstrapping ground state properties of classical frustrated magnets
• Defect Bootstrap: Tight Ground State Bounds in Spontaneous Symmetry Breaking Phases
• Bootstrap bounds for Quantum Spin Systems using String Operators
• Bootstrapping the Ising Model on the Lattice
• Perturbation Theory and the Sum of Squares

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