2010/01/31 by Fabian Hassler, G. B. Lesovik, Gordey B. Lesovik +2 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Computer science #Eigenvalues and eigenvectors #Formalism (music) #Geometry #Mathematics #Physics #Point (geometry) #Point process #Quantum #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum mechanics #Quantum point contact #Random matrix #Statistical physics #Statistics #Stochastic process #Transfer matrix #cond-mat.mes-hall
paper · pdf · doi:10.1140/epjb/e2011-20369-5
published as Eur. Phys. J. B 83, 349 (2011) · 8 pages, 2 figure; a new section about experiments and a figure showing the crossover from sub- to superpoissonian noise have been added
arxiv created 2011/08/10 · openalex publication_date 2011/10/01 · arxiv updated 2011/11/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We describe the transport properties of a point contact under the influence of a classical two-level fluctuator. We employ a transfer matrix formalism allowing us to calculate arbitrary correlation functions of the stochastic process by mapping them on matrix products. The result is used to obtain the generating function of the full counting statistics of a classical point contact subject to a classical fluctuator, including extensions to a pair of two-level fluctuators as well as to a quantum point contact. We show that the noise in the quantum point contact is a sum of the (quantum) partitioning noise and the (classical) noise due to the two-level fluctuator. As a side result, we obtain the full counting statistics of a quantum point contact with time-dependent transmission probabilities.