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
2023
Spectral kissing and its dynamical consequences in the squeeze-driven Kerr oscillator
Chávez-Carlos J, Lezama T, Cortiñas R, Venkatraman J, Devoret M, Batista V, Pérez-Bernal F, Santos L. Spectral kissing and its dynamical consequences in the squeeze-driven Kerr oscillator. Npj Quantum Information 2023, 9: 76. PMID: 38665256, PMCID: PMC11041765, DOI: 10.1038/s41534-023-00745-1.Peer-Reviewed Original ResearchExcited-state quantum phase transitionsQuantum phase transitionQuantum information processingFundamental physics questionsTime-ordered correlatorsPhase transitionDynamical consequencesCold atomsTransmon qubitsQuantum computerIon trapKerr oscillatorsPhysics questionsExcited statesCircuit platformPeriodic revivalsEffective HamiltonianTransmonNonlinear oscillatorsQubitsInformation processingOscillatorSlow evolutionTransitionEngineering implementation
2014
Steered Quantum Dynamics for Energy Minimization
Soley M, Markmann A, Batista V. Steered Quantum Dynamics for Energy Minimization. The Journal Of Physical Chemistry B 2014, 119: 715-727. PMID: 25122515, DOI: 10.1021/jp5046723.Peer-Reviewed Original ResearchOptimal control algorithmDiffeomorphic modulationTime-dependent massNonlinear optimizationQuantum dynamicsIterative schemeEnergy minimizationEffective HamiltonianGlobal minimumControl algorithmLocal minimaAnnealing methodologyMinimizationExtended setAlgorithmDynamicsHamiltonianObservable responseOptimizationDipole momentMinimumScheme