Berlin 2024 – wissenschaftliches Programm
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QI: Fachverband Quanteninformation
QI 31: Decoherence and Open Quantum Systems
QI 31.3: Vortrag
Freitag, 22. März 2024, 10:00–10:15, HFT-FT 101
Synchronization of Cascaded Quantum Oscillators — •Florian Höhe1, Johannes Richter1, Lukas Danner1,2, Ciprian Padurariu1, Björn Kubala1,2, and Joachim Ankerhold1 — 1ICQ and IQST, Ulm University, Ulm, Germany — 2Institute of Quantum Technologies, German Aerospace Center (DLR), Ulm, Germany
Systems performing self-oscillations occur both in natural and engineered systems. The nonlinearity of these oscillators yields limit cycle with stable amplitude but free phase, allowing them synchronize their frequency and phase to other oscillators. Synchronization of quantum self-sustained oscillators, realizable in experiments on trapped ions or superconducting circuits, has been explored in two geometries: First, injecting a classical signal lets the quantum oscillator adjust its dynamics to the signal and can compensate for the diffusive effects of quantum noise. On the other hand, one can couple two or more quantum oscillators symmetrically which then collectively synchronize to a single frequency.
In this work we want to investigate an alternative geometry: We keep the asymmetry of injection locking but replace the classical source by a quantum oscillator, by feeding the emission of one quantum oscillator into the other one. We model the quantum oscillators by van der Pol oscillators and use the input-output formalism yielding a description of the full system in terms of a master-equation. Numerical simulations of the system show one sided frequency pulling, synchronization in the relative phase and correlations in the quantum noise.
Keywords: Van der Pol oscillator; Synchronization; Input-output theory; Quantum Noise; Self-oscillation