Full counting statistics and conditional evolution in a nanoelectromechanical system

Details Full counting statistics and conditional evolution in a nanoelectromechanical system Full counting statistics and conditional evolution in a nanoelectromechanical system

2008-03-27

arxiv.org/abs/0803.3985v2

Phys. Rev. B 78, 165328 (2008).

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

7 pages; figure added; typos corrected

Scientific paper

10.1103/PhysRevB.78.165328

We study theoretically the full distribution of transferred charge in a tunnel junction (or quantum point contact) coupled to a nanomechanical oscillator, as well as the conditional evolution of the oscillator. Even if the oscillator is very weakly coupled to the tunnel junction, it can strongly affect the tunneling statistics and lead to a highly non-Gaussian distribution. Conversely, given a particular measurement history of the current, the oscillator energy distribution may be localized and highly non-thermal. We also discuss non-Gaussian correlations between the oscillator motion and tunneling electrons; these show that the tunneling back-action cannot be fully described as an effective thermal bath coupled to the oscillator.

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