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arXiv · 2112.03357

Extracting the lifetime of a synthetic two-level system

Gabriel Margiani·Sebastian Guerrero·Toni L. Heugel·Christian Marty·Raphael Pachlatko·Thomas Gisler·Gabrielle D. Vukasin·Hyun-Keun Kwon·James ML. Miller·Nicholas E. Bousse·Thomas W. Kenny·Oded Zilberberg·Deividas Sabonis·Alexander Eichler
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Abstract

The Kerr Parametric Oscillator (KPO) is a nonlinear resonator system that is often described as a synthetic two-level system. In the presence of noise, the system switches between two states via a fluctuating trajectory in phase space, instead of following a straight path. The presence of such fluctuating trajectories makes it hard to establish a precise count or even a useful definition, of the "lifetime" of the state. Addressing this issue, we compare several rate counting methods that allow to estimate a lifetime for the levels. In particular, we establish that a peak in the Allan variance of fluctuations can also be used to determine the levels' lifetime. Our work provides a basis for characterizing KPO networks for simulated annealing where an accurate determination of the state lifetime is of fundamental importance.

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Gabriel Margiani, Sebastian Guerrero, Toni L. Heugel, Christian Marty, Raphael Pachlatko, Thomas Gisler, Gabrielle D. Vukasin, Hyun-Keun Kwon, James ML. Miller, Nicholas E. Bousse, Thomas W. Kenny, Oded Zilberberg, Deividas Sabonis, Alexander Eichler. 2021-12-06. Extracting the lifetime of a synthetic two-level system. https://doi.org/10.1063/5.0121595

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