Regensburg 2019 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 36: Fluctuations, Noise and Quantum Coherence

TT 36.4: Vortrag

Mittwoch, 3. April 2019, 10:15–10:30, H7

Optimal synchronization deep in the quantum regime: resource and fundamental limit — •Martin Koppenhöfer and Alexandre Roulet — Department of Physics, University of Basel, Basel, Switzerland

In this talk, we present an analytical framework to study the synchronization of a quantum self-sustained oscillator to an external signal. Our unified description allows us to identify the resource on which quantum synchronization relies, and to compare quantitatively the synchronization behavior of different limit cycles and signals. We focus on the most elementary quantum system that is able to host a self-sustained oscillation, namely a single spin 1. Despite the spin having no classical analogue, we first show that it can realize the van der Pol limit cycle deep in the quantum regime, which allows us to provide an analytical understanding of recently reported numerical results. Moving on to the equatorial limit cycle, we then reveal the existence of interference-based quantum synchronization blockade and extend the classical Arnold tongue to a snake-like forked tongue. Finally, we derive the maximum synchronization that can be achieved in the spin-1 system, and construct a limit cycle that reaches this fundamental limit asymptotically.