Late-time quantum chaos exhibits an unexpected order: unresolved Krylov complexity scales not with average behaviour, but precisely with d_(q)(d_(q) -1), where d_(q) represents each symmetry sector’s Hilbert space dimension. This reveals how accessible operator space, not simply overall averages, dictates chaotic dynamics after initial transients subside. Resolving these conserved symmetries proves vital when using Krylov complexity to diagnose operator growth in complex systems.
Researchers Link Symmetry to Quantum Chaos Equipartition
Late-time quantum chaos exhibits an unexpected order: unresolved Krylov complexity scales not with average behaviour, but precisely with d_(q)(d_(q) -1), where d_(q) represents each symmetry sector’s Hilbert space dimension. This reveals how accessible operator space, not simply overall averages, dictates chaotic dynamics after initial transients subside. Resolving these conserved symmetries proves vital when using Krylov complexity to diagnose operator growth in complex systems.