Counting statistics of non-Markovian quantum stochastic processes.
We derive a general expression for the cumulant generating function (CGF) of non-Markovian quantum stochastic transport processes. The long-time limit of the CGF is determined by a single dominating pole of the resolvent of the memory kernel from which we extract the zero-frequency cumulants of the current using a recursive scheme. The finite-frequency noise is expressed not only in terms of the resolvent, but also initial system-environment correlations. As an illustrative example we consider electron transport through a dissipative double quantum dot for which we study the effects of dissipation on the zero-frequency cumulants of high orders and the finite-frequency noise.
Laboratory of Physics, Helsinki University of Technology, 02015 HUT, Finland.
Christian
C
Flindt
Tomás
T
Novotný
Alessandro
A
Braggio
Maura
M
Sassetti
Antti-Pekka
AP
Jauho
D008390:Markov Chains; D015233:Models, Statistical; D011789:Quantum Theory; D013269:Stochastic Processes