Coherence as a measure for non-Markovianity and its applications to color centers in diamond

Abstract

The degree of non-Markovianity of a continuous bath can be quantified by means of the coherence. This simple measure is experimentally accessible through Ramsey spectroscopy, but it is limited to incoherent dynamical maps. We propose an extension of this measure and discuss its application to color centers in diamond, where the optical coherence between two orbital states is affected by interactions with a structured phonon bath. By taking realistic phonon spectral density functions into account, we show that this measure is well-behaved at arbitrary temperatures and that it provides additional insights about how non-Markoviantiy is affected by the presence of both bulk and quasi-localized phonon modes. Importantly, with only a little overhead the measure can be adapted to eliminate the false signs of non-Markovianity from coherent dynamical maps and is thus applicable for a large class of systems modeled by the spin-boson Hamiltonian.

arXiv comment10 pages, 6 figures

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• Optimizing performance of quantum operations with non-Markovian decoherence: the tortoise or the hare?
• Coding closed and open quantum systems in MATLAB: applications in quantum optics and condensed matter
• Detection of Bidirectional System-Environment Information Exchanges
• Engineering non-Markovianity from defect-phonon interactions
• Overcoming temperature limits in the optical cooling of solids using light-dressed states
• Estimating the degree of non-Markovianity using variational quantum circuits
• Topical review on acousto-optical Floquet engineering of single-photon emitters