Krylov Complexity for Time-Dependent Hamiltonians

arXiv:2607.10454v1 Announce Kind: cross
Summary: We examine Krylov unfold complexity for states evolving below time-dependent Hamiltonians. For periodically pushed methods, we formulate the issue inside Floquet principle and present how the Magnus growth gives a scientific approximation when the Floquet Hamiltonian shouldn’t be accessible in closed kind. We then prolong this framework past periodic driving and exhibit that, along with the globally truncated Magnus growth, a piecewise Magnus growth gives a dependable technique when the worldwide growth loses convergence or accuracy. Our outcomes present sensible instruments for analyzing complexity development in a broad class of time-dependent quantum methods.



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