The effective S-matrix from conductance data in a quantum wave guide: Distinguishing the indistinguishable

TL;DR

This paper introduces a method to distinguish between two nearly indistinguishable random processes by analyzing conductance fluctuations in quantum nanostructures, overcoming limitations of standard statistical tests.

Contribution

The authors develop a novel approach to differentiate similar stochastic processes using conductance data in quantum waveguides, enhancing analysis of quantum transport phenomena.

Findings

Successfully distinguished between similar random processes using conductance data.

Demonstrated the method's effectiveness in analyzing quantum electron transport.

Provided a new tool for quantum nanostructure characterization.

Abstract

We consider two different stationary random processes whose probability distributions are very close and indistinguishable by standard tests for large but limited statistics. Yet we demonstrate that these processes can be reliably distinguished. The method is applied to analyze conductance fluctuations in coherent electron transport through nanostructures.