Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2002-11-04
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
14 pages, 18 figures, submitted to PRB
Scientific paper
We calculate the full frequency spectral density of voltage fluctuations in a Single Electron Transistor (SET), used as an electrometer biased above the Coulomb threshold so that the current through the SET is carried by sequential tunnel events. We consider both a normal state SET and a superconducting SET. The whole spectrum from low frequency telegraph noise to quantum noise at frequencies comparable to the SET charging energy $(E_{C}/\hbar)$, and high frequency Nyquist noise is described. We take the energy exchange between the SET and the measured system into account using a real-time diagrammatic Keldysh technique. The voltage fluctuations determine the back-action of the SET onto the measured system and we specifically discuss the case of superconducting charge qubit read-out and measuring the so-called Coulomb staircase of a single Cooper pair box.
Johansson Goran
Kack Andreas
Wendin Goran
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