Spread Complexity for Local Operator Quenches with Conserved Momentum

arXiv:2609.31867 · hep-th, cond-mat.stat-mech, quant-ph · Submitted 2026-09-25 · Read on arXiv

hep-th, cond-mat.stat-mech, quant-ph

Submitted: 2026-09-25

Updated: 2026-09-25

Terminology

• Krylov Complexity — 37× in this paper · explained in 3 episodes
• Entanglement — 11× in this paper · explained in 4 episodes
• Hilbert Space — 7× in this paper · explained in 2 episodes
• Entanglement Entropy — 4× in this paper · explained in 2 episodes
• Universality Class — 2× in this paper · explained in 2 episodes
• Benchmark — 1× in this paper · explained in 2 episodes
• Consistency — 1× in this paper · explained in 3 episodes
• Core — 1× in this paper · explained in 2 episodes
• Degeneracy — 1× in this paper · explained in 3 episodes
• Embeddings — 1× in this paper · explained in 2 episodes

Sources

• A Universal Operator Growth Hypothesis
• Quantum chaos and the complexity of spread of states
• A bulk manifestation of Krylov complexity
• Krylov complexity in quantum field theory, and beyond
• Krylov complexity and gluon cascades in the high energy limit
• Geometry of Krylov Complexity
• Quantum Dynamics in Krylov Space: Methods and Applications
• Krylov complexity in conformal field theory
• Krylov Complexity in Free and Interacting Scalar Field Theories with Bounded Power Spectrum
• Probing Krylov Complexity in Scalar Field Theory with General Temperatures
• On operator growth and emergent Poincar'e symmetries
• State Dependence of Krylov Complexity in $2d$ CFTs
• Toda chain flow in Krylov space
• Operator complexity: a journey to the edge of Krylov space
• Quantum many-body systems out of equilibrium
• Krylov complexity has it all
• Krylov Complexity
• Quantum complexity in gravity, quantum field theory, and quantum information science
• Thermalization of Strongly Coupled Field Theories
• From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics

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