2024
Benchmarking various nonadiabatic semiclassical mapping dynamics methods with tensor-train thermo-field dynamics
Liu Z, Lyu N, Hu Z, Zeng H, Batista V, Sun X. Benchmarking various nonadiabatic semiclassical mapping dynamics methods with tensor-train thermo-field dynamics. The Journal Of Chemical Physics 2024, 161: 024102. PMID: 38980091, DOI: 10.1063/5.0208708.Peer-Reviewed Original ResearchNonadiabatic dynamics methodsZero-point energy parameterOne-dimensional scattering modelLinear vibronic coupling modelEhrenfest mean-fieldSpin-boson modelThermo field dynamicsZero-temperature dynamicsAccurate quantum dynamics simulationsNumerically exact calculationsVibronic coupling modelFinite-temperature dynamicsZero-point energyDynamics methodStudy of electron transferNonadiabatic dynamicsQuasiclassical dynamicsNonadiabatic processesConical intersectionMean-fieldExact calculationsElectronic transitionsElectron transferCondensed phasePhotochemical reactions
2007
The MP/SOFT methodology for simulations of quantum dynamics: Model study of the photoisomerization of the retinyl chromophore in visual rhodopsin
Chen X, Batista V. The MP/SOFT methodology for simulations of quantum dynamics: Model study of the photoisomerization of the retinyl chromophore in visual rhodopsin. Journal Of Photochemistry And Photobiology A Chemistry 2007, 190: 274-282. DOI: 10.1016/j.jphotochem.2007.05.015.Peer-Reviewed Original ResearchNonadiabatic quantum dynamicsQuantum dynamicsNonadiabatic dynamicsMixed quantum-classical approachTime-dependent Schrödinger equationComplex quantum dynamicsQuantum-classical approachResonance Raman excitationMultichannel time-dependent Schrödinger equationExcited-state gradientsPotential energy surfaceRetinyl chromophoreNuclear wavepacketsRaman excitationPolyatomic systemsEnergy surfaceModel HamiltonianSchrödinger equationTrans photoisomerizationMultidimensional systems
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
2002
Real time path integrals using the Herman–Kluk propagator
Burant J, Batista V. Real time path integrals using the Herman–Kluk propagator. The Journal Of Chemical Physics 2002, 116: 2748-2756. DOI: 10.1063/1.1436306.Peer-Reviewed Original ResearchFull quantum mechanical resultsOne-dimensional potential energy surfaceReal-time path integralsSemiclassical initial value representationHerman-Kluk propagatorQuantum dynamics calculationsTime evolution operatorInverse overlap matrixQuantum mechanical resultsInitial value representationCoherent state representationLong-time dynamicsPotential energy surfaceTwo-dimensional systemsHerman-Kluk semiclassical initial value representationEvolution operatorNonadiabatic dynamicsTime propagatorPath integralEnergy surfaceOverlap matrixQuantitative agreementDynamics calculationsApproximate calculationBasis set