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QI: Fachverband Quanteninformation
QI 34: Quantum Control I
QI 34.8: Vortrag
Donnerstag, 13. März 2025, 16:15–16:30, HS II
The Sub-harmonic Driving Theory and Its Applications — •Longxiang Huang1,2, Jacquelin Luneau1,2, Stefan Filipp1,2,3, Peter Rabl1,2,3, and Klaus Liegener1,2 — 1Technical University of Munich, Department of Physics, Garching, Germany — 2Walther-Meißner-Institut, Garching, Germany — 3Munich Center for Quantum Science and Technology (MCQST), München, Germany
Nonlinear processes have gained significant attention in physics. In parametrically driven pendulums, sub-harmonic oscillations have revealed steady-state solutions at integer multiples of the driving frequency. Conversely, anharmonic oscillators driven at fractions of frequency will oscillate, a phenomenon known as sub-harmonic driving. In this talk, we extend this concept into the quantum realm. Starting from a general quantum system driven by multiples of a singular tone, we employ Floquet theory and degenerate perturbation theory. By this, we obtain an effective Hamiltonian within a degenerate two-level subspace, demonstrating n-th order sub-harmonic oscillations. We test this framework on transmon qubits and predict resonant frequency shifts and Rabi rates, improving previous results relying on the rotating wave approximation (RWA). Additionally, our analysis is valid in regimes where RWA fails, allowing us to study, e.g., fluxonium qubits: higher-order contributions result in frequency shifts and Rabi rates that align closely with experimental results at large driving amplitudes. Furthermore, this framework can be applied to other systems, such as the two-photon Raman transition in trapped ions and Rydberg atoms and the three-photon excitation in quantum dots.
Keywords: Quantum Information Processing; Quantum Optics; Sub-harmonic Driving