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Poisson transition rates from time-domain measurements with finite bandwidth



Ofer Naaman, Joe Aumentado


We show that in realistic time-domain measurements of a Poisson two-level system, the observed transition rates are renormalized downwards due to the finite bandwidth of the experiment. This effect introduces systematic errors in estimating the system''s transition rates from the data. We derive the statistics of the experimentally observed process, and show how to correctly obtain the system''s actual transition rates from their observed values. We compare our results with computer simulations and experimental data from time-domain measurements of quasiparticle tunneling in a single-Cooper-pair transistor.
Physical Review Letters
PRL 96


Markov Process, Random Telegraph Signals, Single Electron Tunneling, Time-domain meaurement


Naaman, O. and Aumentado, J. (2006), Poisson transition rates from time-domain measurements with finite bandwidth, Physical Review Letters (Accessed April 24, 2024)
Created March 16, 2006, Updated October 12, 2021