2026-09-19T18:46:51Zhttps://dspace.mit.edu/server/oai/requestoai:dspace.mit.edu:1721.1/447312022-01-13T07:54:41Zcom_1721.1_7582com_1721.1_7581col_1721.1_131024
David G. Cory.
Pepper, Brian Jeffrey
Massachusetts Institute of Technology. Dept. of Physics.
Massachusetts Institute of Technology. Department of Physics
2009-03-16T19:35:35Z
2009-03-16T19:35:35Z
2008
2008
http://hdl.handle.net/1721.1/44731
298243980
Thesis (S.B.)--Massachusetts Institute of Technology, Dept. of Physics, 2008.
Includes bibliographical references (p. 61-62).
In this thesis, I explored the evolution and dynamics of multiple quantum coherences in a quasi-iD crystal lattice, Fluorapatite (FAp), through the use of NMR. In particular I focused on the system with chains aligned with the magnetic field axis, and with the so-called "magic angle" of 54.7°. In addition, I created a new method of rotation and long RF pulses for NMR spectroscopy. The method cancels off-chain terms of the dipolar Hamiltonian in quasi-ID lattices, while preserving on-chain terms. This allows 1D dynamics to dominate for longer timescales. Finally, a framework is proposed by which one could generalize this method to other systems; similarly cancelling some set of "undesirable" dipolar couplings while preserving others. This method has applications in Quantum Information Processing (QIP), where it could lead to the experimental realization of a 1D spin chain, a system that has provoked much theoretical interest, and the framework has larger implications for simulation of other quantum systems.
by Brian Jeffrey Pepper.
S.B.
62 p.
eng
Massachusetts Institute of Technology
M.I.T. theses are protected by
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http://dspace.mit.edu/handle/1721.1/7582
Physics.
Obtaining 1D dynamics in a quasi-1D NMR spin system
Thesis
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