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Full counting statistics as the geometry of two planes
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Sherkunov, Y. B., Pratap, A., Muzykantskii, B. and d'Ambrumenil, N. (2008) Full counting statistics as the geometry of two planes. Physical Review Letters, Vol.100 (No.19). Aricle no. 196601 . doi:10.1103/PhysRevLett.100.196601 ISSN 0031-9007.
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Official URL: http://dx.doi.org/10.1103/PhysRevLett.100.196601
Abstract
Provided the measuring time is short enough, the full counting statistics (FCS) of the charge pumped across a barrier as a result of a series of voltage pulses are shown to be equivalent to the geometry of two planes. This formulation leads to the FCS without the need for the usual nonequilibrium (Keldysh) transport theory or the direct computation of the determinant of an infinite-dimensional matrix. In the particular case of the application of N Lorentzian pulses, we show the computation of the FCS reduces to the diagonalization of an NxN matrix. We also use the formulation to compute the core-hole response in the x-ray edge problem and the FCS for a square wave pulse-train for the case of low transmission.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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| Divisions: | Faculty of Science, Engineering and Medicine > Science > Physics | ||||
| Library of Congress Subject Headings (LCSH): | Statistical physics, Geometry, Plane | ||||
| Journal or Publication Title: | Physical Review Letters | ||||
| Publisher: | American Physical Society | ||||
| ISSN: | 0031-9007 | ||||
| Official Date: | 16 May 2008 | ||||
| Dates: |
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| Volume: | Vol.100 | ||||
| Number: | No.19 | ||||
| Number of Pages: | 4 | ||||
| Page Range: | Aricle no. 196601 | ||||
| DOI: | 10.1103/PhysRevLett.100.196601 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access | ||||
| Funder: | Engineering and Physical Sciences Research Council (EPSRC) | ||||
| Grant number: | EP/D065135/1 (EPSRC) |
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