2 papers
quant-ph2026
Krylov Dynamics and Operator Growth in Time-Dependent Systems via Lie Algebras
András Grabarits, E. Medina-Guerra, Adolfo del Campo
We study quantum dynamics generated by time-dependent Hamiltonians in Krylov space, the minimal subspace in which the evolution takes place. We establish a direct link between dyna…
quant-ph2025
Correlations and Krylov spread for a non-Hermitian Hamiltonian: Ising chain with a complex-valued transverse magnetic field
E. Medina-Guerra, I. V. Gornyi, Yuval Gefen
Krylov complexity measures the spread of an evolved state in a natural basis, induced by the generator of the dynamics and the initial state. Here, we study the spread in Hilbert s…