Brown University

Dynamic Simulations of Strongly Coupled Spin Ensembles

Description

Abstract:
We develop an efficient simulation package of nuclear magnetic resonance spin echo experiments in order to study the effects of strong electronic spin correlations on the dynamics of the nuclear spin ensemble. A mean-field model can be used to study long range correlated electronic phases through their hyperfine interaction with nuclear spins. We first review specific aspects of the simulation package developed for our exploration. We discuss its structure, accuracy, and the technical merits of the various approximations used to model the spin ensemble. We then explore the dynamics of the interacting nuclear ensemble and discuss the key behaviors of the system. In particular, we classify the types of temporal asymmetry the interaction induces in the system as well as a pulse-dependent shift in the spectral domain. Using these results, we discuss how careful measurement of the pulse-dependent shift can be used to extract information about the anisotropy of the interaction and how these results represent a novel tool for the examination of exotic NMR signatures in strongly correlated systems.
Notes:
Thesis (Ph. D.)--Brown University, 2022

Citation

Snider, Charles, "Dynamic Simulations of Strongly Coupled Spin Ensembles" (2022). Physics Theses and Dissertations. Brown Digital Repository. Brown University Library. https://repository.library.brown.edu/studio/item/bdr:bk4dfcu3/

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