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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…
Kibble-Zurek Scaling and Spatial Statistics in Quenched Binary Bose Superfluids
Subhadeep Patra, Arko Roy, Seong-Ho Shinn +2
The emergence of order from an initially uncorrelated state across a phase transition is a central problem in quantum many-body physics, particularly in multicomponent systems wher…
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…
Spontaneous Quantum Turbulence in a Newborn Bose-Einstein Condensate via the Kibble-Zurek Mechanism
Seong-Ho Shinn, Matteo Massaro, Mithun Thudiyangal +1
The Kibble-Zurek mechanism (KZM) predicts the spontaneous formation of topological defects in a continuous phase transition driven at a finite rate. We propose the generation of sp…
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…