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In time-domain measurements of a Poisson two-level system, the observedtransition rates are always smaller than those of the actual system, a generalconsequence of finite measurement bandwidth in an experiment. Thisunderestimation of the rates is significant even when the measurement anddetection apparatus is ten times faster than the process under study. We derivehere a quantitative form for this correction using a straightforwardstate-transition model that includes the detection apparatus, and provide amethod for determining a system's actual transition rates frombandwidth-limited measurements. We support our results with computersimulations and experimental data from time-domain measurements ofquasiparticle tunneling in a single-Cooper-pair transistor.Comment: 4 pages, 5 figure

Poisson Transition Rates from Time-Domain Measurements with a Finite Bandwidth