Stochastic charge fluctuations analyzed by factorial cumulants

Transport of electrons through nanoscale systems is a stochastic process determined, for instance, by the probabilistic nature of tunneling or a randomly changing environment. Nowadays, the resulting charge fluctuations can be detected by sensitive electrometers in real time. However, it is quite challenging to analyze the information contained in the obtained statistical data. In my talk, I will introduce an evaluation scheme based on generalized factorial cumulants [1,2] which can reveal correlations between tunneling electrons [1,2,3], a violation of detailed balance [4], hidden states and relaxation rates [5], or coherent dynamics [6].

[1] A. Kurzmann, P. Stegmann, J. Kerski, R. Schott, A. Ludwig, A. D. Wieck, J. König, A. Lorke, and M. Geller, Phys. Rev. Lett. 122, 247403 (2019).
[2] P. Stegmann, Björn Sothmann, Alfred Hucht, and J. König, Phys. Rev. B 92, 155413 (2015).
[3] P. Stegmann and J. König, Phys. Rev. B 94, 125433 (2016).
[4] P. Stegmann and J. König, Phys. Status Solidi B 254, 1600507 (2017).
[5] P. Stegmann and J. König, New J. Phys. 19, 023018 (2017).
[6] P. Stegmann, J. König, and S. Weiss, Phys. Rev. B 98, 035409 (2018).