Dresden 2014 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 18: Transport: Fluctuations and Noise
TT 18.3: Vortrag
Montag, 31. März 2014, 15:30–15:45, HSZ 204
Inverse counting statistics for stochastic and open quantum systems: the characteristic polynomial approach — •Martin Bruderer1, Debora Contreras-Pulido1, Maximilian Thaller2, Lucia Sironi3, Danail Obreschkow4, and Martin B. Plenio1 — 1Institut für Theoretische Physik, Universität Ulm, Germany — 2Fachbereich Physik, Universität Konstanz, Germany — 3Department of Biology, Universität Konstanz, Germany — 4University of Western Australia, ICRAR, Crawley, Australia
We consider stochastic and open quantum systems with a finite number of states, where a stochastic
transition between two specific states is monitored by a detector. The long-time counting statistics
of the observed realizations of the transition, parametrized by cumulants, is the only
available information about the system. We present an analytical method for reconstructing generators
of the time evolution of the system compatible with the observations. Moreover, we propose cumulant-based criteria for testing the non-classicality
and non-Markovianity of the time evolution, and lower bounds for the system dimension. Our analytical
results rely on the close connection between the cumulants of the counting statistics and the characteristic
polynomial of the generator, which takes the role of the cumulant generating function.
M. Bruderer et al., arXiv:1311.2673