The Landau-Zener-Stuckelberg-Majorana transition in the T₂ ≪ T₁ limit.

ABSTRACT: Landau-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. Ex

SUBMITTER: Boucher MC 

PROVIDER: S-EPMC11382182 | biostudies-literature | 2023 Sep

REPOSITORIES: biostudies-literature