Wavelet resolved coherence beating in the Overhauser field of a thermal nuclear spin ensemble

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buir.contributor.authorGüldeste, Ekrem Taha
buir.contributor.authorBulutay, Ceyhun
buir.contributor.orcidGüldeste, Ekrem Taha|0000-0002-9980-7386
buir.contributor.orcidBulutay, Ceyhun|0000-0003-2493-517X
dc.citation.epage075202-13en_US
dc.citation.issueNumber7en_US
dc.citation.spage075202-1en_US
dc.citation.volumeNumber105en_US
dc.contributor.authorGüldeste, Ekrem Taha
dc.contributor.authorBulutay, Ceyhun
dc.date.accessioned2023-02-15T07:55:48Z
dc.date.available2023-02-15T07:55:48Z
dc.date.issued2022-02-14
dc.departmentDepartment of Physicsen_US
dc.description.abstractThis work introduces the so-called synchrosqueezed wavelet transform, to shed light on the dipolar fluctuations of a thermal ensemble of nuclear spins in a diamond crystal structure, hyperfine-coupled to a central spin. The raw time series of the nuclear spin bath coherent dynamics is acquired through the two-point correlation function computed using the cluster correlation expansion method. The dynamics can be conveniently analyzed according to zero-, single-, and double-quantum transitions derived from the dipolar pairwise spin flips. We show that in the early-time behavior when the coherence is preserved in the spin ensemble, the Overhauser field fluctuations are modulated by dipole-dipole-induced small inhomogeneous detunings of nearly resonant transitions within the bath. The resulting beating extending over relatively longer time intervals is featured on the scalograms where both temporal and spectral behaviors of nuclear spin noise are unveiled simultaneously. Moreover, a second kind of beating that affects faster dynamics is readily discernible, originating from the inhomogeneous spread of the hyperfine coupling of each nucleus with the central spin. Additionally, any quadrupolar nuclei within the bath imprint as beating residing in the zero-quantum channel. The nuclear spin environment can be directionally probed by orienting the hyperfine axis. Thereby, crucial spatial information about the closely separated spin clusters surrounding the central spin are accessible. Thus, a wavelet-based postprocessing can facilitate the identification of proximal nuclear spins as revealed by their unique beating patterns on the scalograms. Finally, when these features are overwhelmed by either weakly or strongly coupled classical noise sources, we demonstrate the efficacy of thresholding techniques in the wavelet domain in denoising contaminated scalograms.en_US
dc.identifier.doi10.1103/PhysRevB.105.075202en_US
dc.identifier.eissn2469-9969
dc.identifier.issn2469-9950
dc.identifier.urihttp://hdl.handle.net/11693/111299
dc.language.isoEnglishen_US
dc.publisherAmerican Physical Societyen_US
dc.relation.isversionofhttps://www.doi.org/10.1103/PhysRevB.105.075202en_US
dc.source.titlePhysical Review Ben_US
dc.subjectCrystal structureen_US
dc.subjectDynamicsen_US
dc.subjectSpin fluctuationsen_US
dc.titleWavelet resolved coherence beating in the Overhauser field of a thermal nuclear spin ensembleen_US
dc.typeArticleen_US

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