Obtaining 1D dynamics in a quasi-1D NMR spin system
Thesis (S.B.)--Massachusetts Institute of Technology, Dept. of Physics, 2008.
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| Format: | Thesis |
| Language: | eng |
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Massachusetts Institute of Technology
2009
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| Online Access: | http://hdl.handle.net/1721.1/44731 |
| _version_ | 1811070678995042304 |
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| author | Pepper, Brian Jeffrey |
| author2 | David G. Cory. |
| author_facet | David G. Cory. Pepper, Brian Jeffrey |
| author_sort | Pepper, Brian Jeffrey |
| collection | MIT |
| description | Thesis (S.B.)--Massachusetts Institute of Technology, Dept. of Physics, 2008. |
| first_indexed | 2024-09-23T08:39:50Z |
| format | Thesis |
| id | mit-1721.1/44731 |
| institution | Massachusetts Institute of Technology |
| language | eng |
| last_indexed | 2024-09-23T08:39:50Z |
| publishDate | 2009 |
| publisher | Massachusetts Institute of Technology |
| record_format | dspace |
| spelling | mit-1721.1/447312019-04-09T19:04:15Z Obtaining 1D dynamics in a quasi-1D NMR spin system Pepper, Brian Jeffrey David G. Cory. Massachusetts Institute of Technology. Dept. of Physics. Massachusetts Institute of Technology. Dept. of Physics. Physics. 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. 2009-03-16T19:35:35Z 2009-03-16T19:35:35Z 2008 2008 Thesis http://hdl.handle.net/1721.1/44731 298243980 eng 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 62 p. application/pdf Massachusetts Institute of Technology |
| spellingShingle | Physics. Pepper, Brian Jeffrey Obtaining 1D dynamics in a quasi-1D NMR spin system |
| title | Obtaining 1D dynamics in a quasi-1D NMR spin system |
| title_full | Obtaining 1D dynamics in a quasi-1D NMR spin system |
| title_fullStr | Obtaining 1D dynamics in a quasi-1D NMR spin system |
| title_full_unstemmed | Obtaining 1D dynamics in a quasi-1D NMR spin system |
| title_short | Obtaining 1D dynamics in a quasi-1D NMR spin system |
| title_sort | obtaining 1d dynamics in a quasi 1d nmr spin system |
| topic | Physics. |
| url | http://hdl.handle.net/1721.1/44731 |
| work_keys_str_mv | AT pepperbrianjeffrey obtaining1ddynamicsinaquasi1dnmrspinsystem |