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

被引：0

作者：

Boucher, Michael C. ^{[1
]}

Sun, Peter ^{[1
]}

Keresztes, Ivan ^{[1
]}

Harrell, Lee E. ^{[2
]}

Marohn, John A. ^{[1
]}

机构：

[1] Cornell Univ, Dept Chem & Chem Biol, Ithaca, NY 14853 USA

[2] US Mil Acad, Dept Phys & Nucl Engn, West Point, NY 10996 USA

来源：

JOURNAL OF MAGNETIC RESONANCE | 2023年 / 354卷

基金：

美国国家卫生研究院;

关键词：

Landau-Zener-Stuckelberg-Majorana transition; Landau-Zener transition; Bloch equations; Electron spin resonance; Saturation; Adiabatic rapid passage; Magnetic resonance force microscopy; Force-gradient detected magnetic resonance; NUCLEAR MAGNETIC-RELAXATION; ROTATING-FRAME RELAXATION; ADIABATIC PULSES; BROAD-BAND; BLOCH EQUATIONS; ELECTRON-SPIN; RESONANCE; INVERSION; DYNAMICS; CONVERGENCE;

D O I：

10.1016/j.jmr.2023.107523

中图分类号：

Q5 [生物化学];

学科分类号：

071010 ; 081704 ;

摘要：

Landau-Zener-Stuckelberg-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 T-2 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 T-2 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 T-2 << T-1 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 T-2 -> 0 limit.

引用

页数：15