14 papers
Universal Growth of Krylov Complexity Across a Quantum Phase Transition
András Grabarits, Adolfo del Campo
We study the statistical properties of the spread complexity in the Krylov space of quantum systems driven across a quantum phase transition. Using the diabatic Magnus expansion, w…
Universal Defect Statistics in Counterdiabatic Quantum Critical Dynamics
András Grabarits, Adolfo del Campo
Counterdiabatic driving (CD) provides a framework for suppressing excitations in nonadiabatic processes. Exact CD protocols require nonlocal control fields, and CD approximations w…
Universal Non-stabilizerness Dynamics Across Quantum Phase Transitions
András Grabarits, Adolfo del Campo
Quantum magic, or non-stabilizerness, is an important quantum resource that characterizes computational power beyond classically simulable Clifford operations and is therefore esse…
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…
Krylov Complexity Under Hamiltonian Deformations and Toda Flows
Kazutaka Takahashi, Pratik Nandy, Adolfo del Campo
The quantum dynamics of a complex system can be efficiently described in Krylov space, the minimal subspace in which the dynamics unfolds. We apply the Krylov subspace method for H…
Tailoring Quantum Chaos With Continuous Quantum Measurements
Preethi Gopalakrishnan, András Grabarits, Adolfo del Campo
We investigate the role of quantum monitoring in the dynamical manifestations of Hamiltonian quantum chaos. Specifically, we analyze the generalized spectral form factor, defined a…