Scanning Fourier Spectroscopy: A microwave analog study to image transmission paths in quantum dots

TL;DR

This study introduces scanning Fourier spectroscopy, a microwave analog technique to image and analyze transmission paths in quantum dots, revealing how a movable absorber influences wave functions and classical trajectories.

Contribution

The paper presents a novel microwave-based method to map wave functions and classical trajectories in quantum dots, enabling position-selective probing of wave function states.

Findings

Absorber acts as a position-selective probe suppressing certain wave function states.

Scanning Fourier spectroscopy effectively maps classical trajectories affecting transmission.

The technique provides insights into wave function structure in open quantum systems.

Abstract

We use a microwave cavity to investigate the influence of a movable absorbing center on the wave function of an open quantum dot. Our study shows that the absorber acts as a position-selective probe, which may be used to suppress those wave function states that exhibit an enhancement of their probability density near the region where the impurity is located. For an experimental probe of this wave function selection, we develop a technique that we refer to as scanning Fourier spectroscopy, which allows us to identify, and map out, the structure of the classical trajectories that are important for transmission through the cavity.