Repository logo
Log in(current)
Repository logoMIT Open ScholarshipDSpace@MIT
  1. Home
  2. MIT Libraries
  3. MIT Theses
  4. Undergraduate Theses
  5. Obtaining 1D dynamics in a quasi-1D NMR spin system

Obtaining 1D dynamics in a quasi-1D NMR spin system

Thumbnail Image
Download
Name

298243980-MIT.pdf

Description
Full printable version
Size

7.49 MB

Format

Adobe PDF

Checksum (MD5)

cdae807a26f34f0cb47ff0ea929bd496

Author(s)
Pepper, Brian Jeffrey
Advisor(s)
David G. Cory.
Date Issued
2008
Publisher
Massachusetts Institute of Technology
Abstract
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.
Description
Thesis (S.B.)--Massachusetts Institute of Technology, Dept. of Physics, 2008.
Includes bibliographical references (p. 61-62).
Subjects
Physics.
MIT Department
Massachusetts Institute of Technology. Department of Physics
Terms of Use
M.I.T. theses are protected by
copyright. They may be viewed from this source for any purpose, but
reproduction or distribution in any format is prohibited without written
permission. See provided URL for inquiries about permission.
http://dspace.mit.edu/handle/1721.1/7582
Persistent DSpace Link
http://hdl.handle.net/1721.1/44731
Repository logo
PrivacyPermissionsAccessibilityContact us
Repository logo
Notify us about copyright concerns.