Gaussian Scrooge Ensemble from Deep Thermalization in Free-Fermions

arXiv:2610.10279 · cond-mat.stat-mech, quant-ph · Submitted 2026-10-07 · Read on arXiv

cond-mat.stat-mech, quant-ph

Submitted: 2026-10-07

Updated: 2026-10-07

Comments: 28 pages, 3 figures

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

Terminology

• Deep Thermalization — 25× in this paper · explained in 2 episodes
• Entanglement — 13× in this paper · explained in 4 episodes
• Conservation Laws — 10× in this paper · explained in 3 episodes
• Entanglement Entropy — 7× in this paper · explained in 2 episodes
• Hilbert Space — 5× in this paper · explained in 2 episodes
• Unitary Dynamics — 5× in this paper · explained in 2 episodes
• Benchmarking — 3× in this paper · explained in 4 episodes
• Quantum Circuits — 2× in this paper · explained in 2 episodes
• Redundancy — 2× in this paper · explained in 2 episodes
• Trace — 2× in this paper · explained in 2 episodes
• Verification — 2× in this paper · explained in 2 episodes
• Ab Initio — 1× in this paper · explained in 1 episode
• Chaotic Dynamics — 1× in this paper · explained in 2 episodes
• Core — 1× in this paper · explained in 2 episodes
• Generative AI — 1× in this paper · explained in 2 episodes
• Phase Transitions — 1× in this paper · explained in 2 episodes
• Quantum Trajectories — 1× in this paper · explained in 2 episodes

Sources

• Athermality of generalized Gibbs ensembles
• Locality of deep thermalisation through the lens of entanglement teleportation
• Quantum resource localizability transitions in deep thermalization
• Random unitaries from Hamiltonian dynamics
• Deep thermalization and Hilbert space ergodicity
• Exact Hilbert-space ergodicity from continuous monitoring
• Universality of Measurement-Induced Criticality under Symmetry-Breaking Measurements
• Fermionic Gaussian Scrooge Ensembles in Deep Thermalization

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