Krylov complexity from integrability to chaos
نویسندگان
چکیده
A bstract We apply a notion of quantum complexity, called “Krylov complexity”, to study the evolution systems from integrability chaos. For this purpose we investigate integrable XXZ spin chain, enriched with an breaking deformation that allows one interpolate between and chaotic behavior. K-complexity can act as probe or nature underlying system via its late-time saturation value is suppressed in phase increases driven phase. furthermore ascribe (under-)saturation bound amount disorder present Lanczos sequence, by mapping complexity auxiliary off-diagonal Anderson hopping model. compare random matrix ensembles find indeed approaches RMT behavior appropriate symmetry class. dependence results on two key ingredients K-complexity: dynamics Hamiltonian character operator whose time followed.
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ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2022
ISSN: ['1127-2236', '1126-6708', '1029-8479']
DOI: https://doi.org/10.1007/jhep07(2022)151