The Landau–Zener–Stückelberg–Majorana transition in the T2 ≪ T1 limit

dc.contributor.authorBoucher, Michael C.
dc.contributor.authorSun, Peter
dc.contributor.authorKeresztes, Ivan
dc.contributor.authorHarrell, Lee E.
dc.contributor.authorMarohn, John A.
dc.date.accessioned2024-10-10T14:48:06Z
dc.date.available2024-10-10T14:48:06Z
dc.date.issued2023-09
dc.description.abstractLandau–Zener–Stückelberg–Majorana (LZSM) transitions occur between quantum states when parameters in the system’s Hamiltonian are varied continuously and rapidly. In magnetic resonance, losses in adiabatic rapid passage can be understood using the physics of LZSM transitions. Most treatments of LZSM transitions ignore the T2 dephasing of coherences, however. Motivated by ongoing work in magnetic resonance force microscopy, we employ the Bloch equations, coordinate transformation, and the Magnus expansion to derive expressions for the final magnetization following a rapid field sweep at fixed irradiation intensity that include T2 losses. Our derivation introduces an inversion-function, Fourier transform method for numerically evaluating highly oscillatory integrals. Expressions for the final magnetization are given for low and high irradiation intensity, valid in the T2≪T1 limit. Analytical results are compared to numerical simulations and nuclear magnetic resonance experiments. Our relatively straightforward calculation reproduces semiquantitatively the well known LZSM result in the T2→0 limit.
dc.description.sponsorshipResearch reported in this publication was supported by Cornell University, the Army Research Office under Award Number W911NF-17-1-0247, and the National Institute of General Medical Sciences of the National Institutes of Health under Award Number R01GM143556.
dc.identifier.citationMichael C. Boucher, Peter Sun, Ivan Keresztes, Lee E. Harrell, John A. Marohn, The Landau–Zener–Stückelberg–Majorana transition in the T2 ≪ T1 limit, Journal of Magnetic Resonance, Volume 354, 2023, 107523, ISSN 1090-7807, https://doi.org/10.1016/j.jmr.2023.107523.
dc.identifier.doi10.1016/j.jmr.2023.107523
dc.identifier.issn1090-7807
dc.identifier.urihttps://www.sciencedirect.com/science/article/pii/S1090780723001581
dc.identifier.urihttps://hdl.handle.net/20.500.14216/1586
dc.publisherElsevier BV
dc.relation.ispartofJournal of Magnetic Resonance
dc.subjectLandau–Zener–Stückelberg–Majorana transition
dc.subjectBloch equations
dc.subjectElectron spin resonance
dc.subjectSaturation
dc.subjectAdiabatic rapid passage
dc.subjectMagnetic resonance force microscopy
dc.subjectForce-gradient detected magnetic resonance
dc.titleThe Landau–Zener–Stückelberg–Majorana transition in the T2 ≪ T1 limit
dc.typejournal-article
local.USMAemaillee.harrell@westpoint.edu
local.peerReviewedYes
oaire.citation.volume354

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