2024-10-14T19:46:07Zhttps://keep.lib.asu.edu/oai/requestoai:keep.lib.asu.edu:node-1362162021-08-11T21:09:57Zoai_pmh:alloai_pmh:repo_items136216
https://hdl.handle.net/2286/R.I.29172
http://rightsstatements.org/vocab/InC/1.0/
2015-05
20 pages
eng
Morgan, Eric Robert
Treacy, Michael
Whaley, K. Birgitta
Greenman, Loren
Barrett, The Honors College
School of Mathematical and Statistical Sciences
Department of Physics
Text
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<br/>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.
Quantum Information
Silicon
Optimal Control
Physics
Optimal Coherent Control of Spin State Transfer in Silicon