Control of free induction decay with quantum state preparation in a weakly coupled multi-spin system

TL;DR

This paper introduces a quantum control method combining NMR and state preparation to manipulate free induction decay signals in weakly coupled multi-spin systems, demonstrated through simulations and experiments.

Contribution

It presents a novel approach to control FID signals in weakly coupled spins using quantum state preparation, enhancing NMR capabilities with quantum technology.

Findings

Successfully demonstrated control of FID signals in weakly coupled spins

Validated the approach through numerical simulations and experiments

Achieved a single exponential decay in FID signals

Abstract

Nuclear magnetic resonance (NMR) has been a widely used tool in various scientific fields and practical applications, with quantum control emerging as a promising strategy for synergistic advancements. In this paper, we propose a novel approach that combines NMR and quantum state preparation techniques to control free induction decay (FID) signals in weakly coupled spin systems, specifically Trifluoroiodoethylene $C_2F_3I$. We investigate the FID signal of the three-spin system and compare the differences between the FID signals in the thermal state and the pseudo-pure state (PPS), where the latter is generated using quantum state preparation techniques. Our approach aims to demonstrate a single exponentially decaying FID in weakly coupled spins, in which oscillatory FID signals are often observed. We validate our findings through numerical simulations and experimental measurements, and justify the validity of the theory. Our method opens a door to advancing spin system research and extending the capabilities of NMR with current quantum technologies in various scientific and practical fields.