11 papers · 1 filter
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…
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…
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…
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…
Quantum Quenches from the Critical Point: Theory and Experimental Validation in a Trapped-Ion Quantum Simulator
Chen-Xu Wang, András Grabarits, Jin-Ming Cui +4
We investigate quantum quenches starting from a critical point and experimentally probe the associated defect statistics using a trapped-ion quantum simulator of the transverse-fie…
Quantum Transition Rates in Arbitrary Physical Processes
Adolfo del Campo, András Grabarits, Dmitrii Makarov +1
We introduce a framework for computing time-dependent quantum transition rates (QTRs) that describe the pace of evolution of a quantum state from a given subspace to a target subsp…