Magnetic resonance in quantum computing and in accurate measurements of the nuclear moments of atoms and molecules

TL;DR

This paper derives exact spin wave functions under oscillating magnetic fields, enabling quantum computing operations and precise measurements of nuclear moments in atoms and molecules, with applications to NMR and EPR techniques.

Contribution

It provides closed-form solutions for spin wave functions that facilitate controlled quantum state transitions and high-precision nuclear moment measurements.

Findings

Exact solutions for nuclear and electronic spin wave functions.

Application to high-precision measurements of nuclear moments.

Potential to resolve inconsistencies in existing hyperfine data.

Abstract

Modern experimental techniques can generate magnetic fields of the form H(t) = H0 z-hat + H1 [x-hat cos({\omega}t) + y-hat sin({\omega}t)], at frequencies within an order of magnitude of the nuclear magnetic resonance (NMR) and electron paramagnetic resonance (EPR) frequencies, {\omega}n0 and {\omega}e0, respectively, when acting on atoms or molecules. We derive simple closed-form expressions for the exact nuclear- and electronic-spin wave functions that enable controlled transitions between entangled states, allowing an atom or molecule to function as a quantum computer. These solutions also enable precise NMR or EPR measurements of nuclear moments in atoms and molecules. We present examples relevant to measurements of the nuclear moments of 14N, 7Li, and 133Cs. Because existing hyperfine measurements of the lowest three nuclear moments of 133Cs are mutually inconsistent, the proposed NMR/EPR experiments provide a route to measuring all seven of its nuclear moments with high precision.