Real-time and -space visualization of excitations of the \nu = 1/3 fractional quantum Hall edge

TL;DR

This paper demonstrates a novel optical microscopy technique to visualize and analyze the real-time, real-space excitations of fractional quantum Hall edge states, providing insights into their dynamics and collective excitations.

Contribution

It introduces a scanning optical stroboscopic confocal microscopy method capable of resolving energy, space, and time in FQH edge states, advancing experimental visualization techniques.

Findings

Visualized excited states of the /3 FQH state

Detected edge-state propagation as a temporal optical response change

Confirmed current understanding of edge excitations and revealed additional dynamics

Abstract

We present scanning optical stroboscopic confocal microscopy and spectroscopy measurements wherein three degrees of freedom, namely energy, real-space, and real-time, are resolvable. The edge-state propagation is detected as a temporal change in the optical response in the downstream edge. We succeeded in visualizing the excited states of the most fundamental fractional quantum Hall (FQH) state and the collective excitations near the edge. The results verify the current understanding of the edge excitation and also point toward further dynamics outside the edge channel.