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A feedback scheme for control of single electron transport
Author(s) -
Brandes Tobias
Publication year - 2017
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.201600548
Subject(s) - modulation (music) , feedback control , exponential function , control theory (sociology) , extension (predicate logic) , electron , scheme (mathematics) , statistical physics , protocol (science) , exponential distribution , mathematics , computer science , exponential growth , statistics , physics , control (management) , mathematical analysis , quantum mechanics , control engineering , engineering , medicine , alternative medicine , pathology , artificial intelligence , acoustics , programming language
We revise a feedback control scheme for single electron transport. It is based on the idea of an adaptive modulation of the system parameters (such as tunnel rates) during the observation of the full counting statistics. This can be done via an iterative, step‐wise modulation, or in a continuous manner. We compare these two procedures and discuss an extension of the previously used linear feedback protocol to the non‐linear case. This involves an exponential dependence of tunnel rates on the differences n − I 0 t , where n is the number of electrons transferred after time t and I 0 the stationary target current. The feedback freezes the full counting statistics into a stationary distribution that we derive and analyze using a Fokker–Planck equation.