Full frequency voltage noise spectral density of a single electron transistor

Abstract

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 $(E_C/\hslash )$, 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.

14 pages, 18 figures, submitted to PRB

References in corpus (2)

• Resonant Cooper Pair Tunneling: Quantum Noise and Measurement Characteristics
• Full Frequency Back-Action Spectrum of a Single Electron Transistor during Qubit read-out

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