Visualization of Rabi oscillations in a magnetic resonance

TL;DR

This paper presents a visualization method for qudit polarization dynamics in magnetic resonance by mapping density matrix solutions onto 3D spherical curves, revealing interference effects and aiding data visualization.

Contribution

It introduces a novel visualization scheme for qudit polarization dynamics using spherical curves, enhancing understanding of magnetic resonance phenomena.

Findings

Visualization clearly shows interference of precessional and nutational effects.

Method can be applied to practical magnetic resonance data analysis.

Provides a new tool for 3D visualization of quantum state evolution.

Abstract

A visualization scheme for dynamics of a qudit polarization vector in a time-dependent magnetic field is presented by solving equations for a density matrix in Hermitian basis. This is realized by means of mapping solution for the polarization vector on the three-dimensional spherical curve (vector hodograph). The obtained results obviously display the interference of precessional and nutational effects on the polarization vector in a magnetic resonance. The study can find the practical applications in a magnetic resonance and 3D visualization of computational data.