Markovian theory of dynamical decoupling by periodic control

TL;DR

This paper introduces a Markovian master equation approach to analyze dynamical decoupling in quantum systems, providing detailed quantitative insights applicable to NMR and quantum device decoherence reduction.

Contribution

It applies a new Markovian formalism to dynamical decoupling, deriving exact relaxation rate formulas for specific bath models and enabling parameter extraction from experimental data.

Findings

Exact relaxation rate formulas for two-level systems and specific bath densities.

New parameter extraction method for bath relaxation times in NMR.

Enhanced understanding of decoherence suppression in quantum devices.

Abstract

The recently developed formalism of Markovian master equations for quantum open systems with external periodic driving is applied to the theory of dynamical decoupling by periodic control. This new approach provides a more detailed quantitative picture of this phenomenon applicable both to traditional NMR spectroscopy and to recent attempts of decoherence reduction in quantum devices. For popular choices of bath spectral densities and a two-level system, exact formulas for the relaxation rates are available. In the context of NMR imaging, the obtained formulas allow the extraction of a new parameter describing bath relaxation time from the experimental data.