Probabilistic motional averaging

in: European Physical Journal B (2020)
Karpov, Denis S.; Monarkha, Vladimir Y.; Szombati, Daniel; Frieiro, Alejandro G.; Omelyanchouk, Alexander N.; Ilichev, Evgeni; Fedorov, Arkady; Shevchenko, Sergei N.
In a continuous measurement scheme a spin-1/2 particle can be measured and simultaneously driven by an external resonant signal. When the driving is weak, it does not prevent the particle wave-function from collapsing and a detector randomly outputs two responses corresponding to the states of the particle. In contrast, when driving is strong, the detector returns a single response corresponding to the mean of the two single-state responses. This situation is similar to a motional averaging, observed in nuclear magnetic resonance spectroscopy. We study such quantum system, being periodically driven and probed, which consists of a qubit coupled to a quantum resonator. It is demonstrated that the transmission through the resonator is de_ned by the interplay between driving strength, qubit dissipation, and resonator linewidth. We demonstrate that our experimental results are in good agreement with numerical and analytical calculations.

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