Comment on "Exact Classification of Landau-Majorana-Stuckelberg-Zener Resonances by Floquet Determinants"

TL;DR

This paper critiques a recent framework for classifying Landau-Majorana-Stuckelberg-Zener resonances, arguing that the identification of real resonances at small drive amplitudes in that framework is incorrect.

Contribution

The authors challenge the previous classification scheme, providing a correction for the identification of real resonances in the small drive amplitude regime.

Findings

The previous framework's identification of real resonances at small drive amplitudes is incorrect.

The critique clarifies the nature of resonances in Landau-Majorana-Stuckelberg-Zener interferometry.

The paper refines the understanding of resonance classification in driven quantum systems.

Abstract

In a recent Letter [S. Ganeshan, E. Barnes, and S. Das Sarma, Phys. Rev. Lett. 111, 130405 (2013)], Ganeshan et al. present a general framework to classify the resonance structure of Landau-Majorana-Stuckelberg-Zener interferometry into three basic categories distinguished by whether these resonances correspond to periodic or nonperiodic quantum evolution. In this Comment, we show that their identification of the real resonances in the regime of small drive amplitude is incorrect.