2024
Effective versus Floquet theory for the Kerr parametric oscillator
García-Mata I, Cortiñas R, Xiao X, Chávez-Carlos J, Batista V, Santos L, Wisniacki D. Effective versus Floquet theory for the Kerr parametric oscillator. Quantum 2024, 8: 1298. DOI: 10.22331/q-2024-03-25-1298.Peer-Reviewed Original ResearchState-of-the-art experimentsKerr parametric oscillatorCat statesFloquet statesEffective HamiltonianParametrized gatesQuantum technologiesKerr oscillatorsQuasi-energiesParametric oscillatorPerturbation expansionQuantum computationParameter regimesRelevant physicsFloquet theoryKerrFloquetTechnological interestPhysicsOscillationsHamiltonianQuantumStateLow-orderOriginal system
2005
Matching-pursuit∕split-operator Fourier-transform simulations of nonadiabatic quantum dynamics
Wu Y, Herman M, Batista V. Matching-pursuit∕split-operator Fourier-transform simulations of nonadiabatic quantum dynamics. The Journal Of Chemical Physics 2005, 122: 114114. PMID: 15836208, DOI: 10.1063/1.1881132.Peer-Reviewed Original ResearchNonadiabatic quantum dynamicsQuantum dynamicsGradient-based optimization methodsStandard perturbation expansionAdiabatic quantum dynamicsNonadiabatic dynamicsTime evolution operatorCoherent state representationCanonical model systemOptimization methodPerturbation expansionMultidimensional systemsNatural extensionPropagation schemeFourier transform methodMatching pursuit algorithmPropagation methodDynamicsSimulationsTesting simulationsAlgorithmOperatorsAccuracyScheme