Full metadata
Title
Optimal Coherent Control of Spin State Transfer in Silicon
Description
In this paper, optimal control routines are applied to an existing problem of electron state transfer to determine if spin information can successfully be moved across a chain of donor atoms in silicon. The additional spin degrees of freedom are introduced into the formulation of the problem as well as the control optimization algorithm. We find a timescale of transfer for spin quantum information across the chain fitting with a t > π/A and t > 2π/A transfer pulse time corresponding with rotation of states on the electron Bloch sphere where A is the electron-nuclear coupling constant. Introduction of a magnetic field weakens transfer
efficiencies at high field strengths and prohibits anti-aligned nuclear states from transferring. We also develop a rudimentary theoretical model based on simulated results and partially validate the characteristic transfer times for spin states. This model also establishes a framework for future work including the introduction of a magnetic field.
efficiencies at high field strengths and prohibits anti-aligned nuclear states from transferring. We also develop a rudimentary theoretical model based on simulated results and partially validate the characteristic transfer times for spin states. This model also establishes a framework for future work including the introduction of a magnetic field.
Date Created
2015-05
Contributors
- Morgan, Eric Robert (Author)
- Treacy, Michael (Thesis director)
- Whaley, K. Birgitta (Committee member)
- Greenman, Loren (Committee member)
- Barrett, The Honors College (Contributor)
- School of Mathematical and Statistical Sciences (Contributor)
- Department of Physics (Contributor)
Topical Subject
Resource Type
Extent
20 pages
Language
eng
Copyright Statement
In Copyright
Primary Member of
Series
Academic Year 2014-2015
Handle
https://hdl.handle.net/2286/R.I.29172
Level of coding
minimal
Cataloging Standards
System Created
- 2017-10-30 02:50:57
System Modified
- 2021-08-11 04:09:57
- 3 years 2 months ago
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