Allowed charge transfers between coherent conductors driven by a time-dependent scatterer

TL;DR

This paper establishes fundamental constraints on charge transfer statistics in coherent conductors with time-dependent scattering, revealing that the generating function's zeroes must be on the negative real axis, generalizing previous static results.

Contribution

It introduces a new analytic constraint on the generating function of charge transfer statistics for time-dependent scatterers, extending static case results.

Findings

Zeroes of the generating function lie on the negative real axis.

Generalization of static scattering results to time-dependent scenarios.

Provides a theoretical foundation for analyzing charge transfer in dynamic conductors.

Abstract

We derive constraints on the statistics of the charge transfer between two conductors in the model of arbitrary time-dependent instant scattering of non-interacting fermions at zero temperature. The constraints are formulated in terms of analytic properties of the generating function: its zeroes must lie on the negative real axis. This result generalizes existing studies for scattering by a time-independent scatterer under time-dependent bias voltage.