Quantum transfer through a continuum under continuous monitoring

TL;DR

This paper investigates quantum particle transfer through a continuum under continuous monitoring, comparing it to frequent measurements, and proposes experimental tests for the scaling behavior between measurement rate and reservoir bandwidth.

Contribution

It extends previous work by replacing frequent measurements with continuous monitoring and introduces experimental proposals to test the scaling properties.

Findings

Continuous monitoring alters transfer dynamics compared to frequent measurements.

A quantitative comparison between measurement types is provided.

Proposals for experimental verification of the scaling law are outlined.

Abstract

In this work we extend our previous studies on the quantum transfer of a particle through a finite-bandwidth continuum under frequent detections, by replacing the assumed frequent measurements with a genuine continuous monitoring by a point-contact detector. We present a quantitative comparison between the two types of measurement. We also propose possible measurements, based on the state-of-the-art experiments, to test the `scaling' property between the measurement rate and the bandwidth of the reservoir, rooted in the transfer dynamics under continuous monitoring.