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

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O. Naaman and J. Aumentado
National Institute of Standards and Technology, 325 Broadway, Boulder, Colorado 80305, USA

Received 4 November 2005; published 16 March 2006

Intime-domain measurements of a Poisson two-level system, the observed transitionrates are always smaller than those of the actual system,a general consequence of a finite measurement bandwidth in anexperiment. This underestimation of the rates is significant even whenthe measurement and detection apparatus are 10 times faster than theprocess under study. We derive here a quantitative form forthis correction, using a straightforward state transition model that includesthe detection apparatus, and provide a method for determining asystem's actual transition rates from bandwidth-limited measurements. We support ourresults with computer simulations and experimental data from time-domain measurementsof quasiparticle tunneling in a single-Cooper-pair transistor.

URL:	http://link.aps.org/doi/10.1103/PhysRevLett.96.100201
DOI:	10.1103/PhysRevLett.96.100201
PACS:	02.50.Ga; 72.70.+m; 85.25.Cp; 85.35.Gv 02.50.Ga Markov processes 72.70.+m Noise processes and phenomena in electronic transport 85.25.Cp Josephson devices 85.35.Gv Single electron devices YEAR: 2006
KEYWORDS:	superconductive tunnelling, Cooper pairs, transistors, stochastic processes, error correction, quasiparticles, single electron transistors, electron device noise

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