Abstract
We show experimentally and describe theoretically how a conventional magnetic resonance Hahn echo sequence can lead to a self-stimulated pulse echo train when an inhomogeneously broadened spin ensemble is coupled to a resonator. Effective strong coupling between the subsystems assures that the first Hahn echo can act as a refocusing pulse on the spins, leading to self-stimulated secondary echoes. Within the framework of mean field theory, we show that this process can continue multiple times leading to a train of echoes. We introduce an analytical model that explains the shape of the first echo and numerical results that account well for the experimentally observed shape and strength of the echo train and provides insights into the collective effects involved.
Highlights
Introduction.—Electron spin resonance (ESR) [1,2] and nuclear magnetic resonance (NMR) [3,4] are used in diverse branches of science, ranging from spectroscopic studies in biochemistry and materials science [5,6,7,8] to imaging of internal organs in medicine [9]
We show experimentally and describe theoretically how a conventional magnetic resonance Hahn echo sequence can lead to a self-stimulated pulse echo train when an inhomogeneously broadened spin ensemble is coupled to a resonator
Aside from being the cornerstone of pulsed NMR and ESR techniques, spin echoes have become an essential ingredient in quantum information science due to their applications in ensemble quantum memories with ESR and optical transitions [13,14,15,16,17], and in nanoscale quantum metrology [18,19], as well as being a building block for more complex dynamical decoupling sequences used to extend qubit coherence times [20]
Summary
Introduction.—Electron spin resonance (ESR) [1,2] and nuclear magnetic resonance (NMR) [3,4] are used in diverse branches of science, ranging from spectroscopic studies in biochemistry and materials science [5,6,7,8] to imaging of internal organs in medicine [9]. Self-Stimulated Pulse Echo Trains from Inhomogeneously Broadened Spin Ensembles
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