Exact Classification of Landau-Majorana-St\"uckelberg-Zener Resonances By Floquet Determinants

TL;DR

This paper develops an exact theoretical method using Floquet determinants to identify and analyze Landau-Majorana-Stückelberg-Zener (LMSZ) interference resonances, revealing new features without approximations.

Contribution

It introduces a general, exact formalism for characterizing LMSZ resonances, surpassing previous approximate methods and uncovering previously unknown resonance features.

Findings

Exact characterization of LMSZ resonances

Identification of previously unknown resonance features

Potential for experimental verification

Abstract

Recent experiments have shown that Landau-Majorana-Stuckelberg-Zener (LMSZ) interferometry is a powerful tool for demonstrating and exploiting quantum coherence not only in atomic systems but also in a variety of solid state quantum systems such as spins in quantum dots, superconducting qubits, and nitrogen vacancy centers in diamond. In this work, we propose and develop a general (and, in principle, exact) theoretical formalism to identify and characterize the interference resonances that are the hallmark of LMSZ interferometry. Unlike earlier approaches, our scheme does not require any approximations, allowing us to uncover important and previously unknown features of the resonance structure. We also discuss the experimental observability of our results.