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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…
quant-ph2024
Measurement-induced asymmetry in bipartite networks
A. Lowe, E. Medina-Guerra
We consider an interacting bipartite network through a Bayesian game-theoretic framework and demonstrate that weak measurements introduce an inherent asymmetry that is not present…