Quantized Rabi Oscillations and Circular Dichroism in Quantum Hall Systems

TL;DR

This paper demonstrates that quantized circular dichroism in quantum Hall systems, linked to their topological properties, can be described by Rabi oscillations and probed locally, offering new methods to investigate topological phases.

Contribution

It introduces a novel connection between quantized circular dichroism, Rabi oscillations, and topological properties in quantum Hall systems, providing new topological probes.

Findings

Quantized circular dichroism in Landau levels due to topology.

Rabi oscillation frequencies follow simple quantization laws.

Local probing of dissipative responses in quantum Hall systems.

Abstract

The dissipative response of a quantum system upon a time-dependent drive can be exploited as a probe of its geometric and topological properties. In this work, we explore the implications of such phenomena in the context of two-dimensional gases subjected to a uniform magnetic field. It is shown that a filled Landau level exhibits a quantized circular dichroism, which can be traced back to its underlying non-trivial topology. Based on selection rules, we find that this quantized circular dichroism can be suitably described in terms of Rabi oscillations, whose frequencies satisfy simple quantization laws. Moreover, we discuss how these quantized dissipative responses can be probed locally, both in the bulk and at the boundaries of the quantum Hall system. This work suggests alternative forms of topological probes in quantum systems based on circular dichroism.