Geometric effects in non-equilibrium electron transfer statistics in adiabatically driven quantum junctions

TL;DR

This paper explores how geometric effects influence electron transfer statistics in driven quantum junctions, revealing that Berry and noncyclic geometric effects differently impact flux and fluctuations, with implications for fluctuation theorems.

Contribution

It provides analytical expressions for geometric contributions to flux and fluctuations, highlighting their distinct roles and effects on fluctuation theorems in quantum electron transport.

Findings

Berry effect influences fluctuations but not density matrix evolution

Noncyclic geometric effect affects net flux across the junction

Fluctuations deviate from steady state fluctuation theorem with geometric effects

Abstract

Cyclic Pancharatnam-Berry (PB) and adiabatic noncyclic geometric (ANG) effects are investigated in a single electron orbital system connected to two metal contacts with externally driven chemical potential and/or temperatures.The PB contribution does not affect the density matrix evolution, but has quantitative effect on the statistics (fluctuations) of electron transfer. The ANG contribution, on the other hand, affects the net flux across the junction. Unlike the PB, the ANG contribution is non-zero when two parameters are identically driven. Closed analytical expressions are derived for the ANG contribution to the flux, and the PB contribution to the first two leading order fluctuations. Fluctuations can be modified by manipulating the relative phases of the drivings. Interestingly, we find that the fluctuations of the pumped charge do not satisfy the steady state fluctuation theorem in presence of nonzero geometric contribution, but can be recovered for a vanishing geometric contribution even in presence of the external driving.