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Spin Diffusion Associated with a Quantum Random Walk on a One-Dimensional Lattice

Chilukuri, Raghu N
http://rave.ohiolink.edu/etdc/view?acc_num=ucin1406820159

Abstract Details

2014, MS, University of Cincinnati, Engineering and Applied Science: Electrical Engineering.
Classical random walks have found applications ranging from Brownian motion, diffusion of particles, designing computer algorithms, and even in the study of biological systems. Random walks can be used to explain the process of diffusion in the drift-diffusion model charge carrier motion in semiconductors. In the classical treatment of transport phenomena, the charge carrier transport can be characterized by a well defined diffusion coefficient D. Recently, there have been numerous proposals to make electronic and logic devices based on the spin property of electron like the Datta-Das Spin Field Effect Transistor. In such devices, the transport is non-classical (ballistic). This document examines the possibility of defining a spin diffusion coefficient for non-classical transport, using the study of quantum random walks as a starting point. In addition, this document also analyzes the effect of uniform noise on the behavior of quantum random walks and driving the quantum walk into classical regime.
Marc Cahay, Ph.D. (Committee Chair)
Punit Boolchand, Ph.D. (Committee Member)
Altan Ferendeci, Ph.D. (Committee Member)
72 p.
Electrical Engineering
noise quantum random walk; Hadamard walk; noisy Hadamard walk; noisy quantum walk; spin transport diffusion; quantum walk stretched exponential

Recommended Citations

Citations

  • Chilukuri, R. N. (2014). Spin Diffusion Associated with a Quantum Random Walk on a One-Dimensional Lattice [Master's thesis, University of Cincinnati]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1406820159

    APA Style (7th edition)

  • Chilukuri, Raghu. Spin Diffusion Associated with a Quantum Random Walk on a One-Dimensional Lattice. 2014. University of Cincinnati, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=ucin1406820159.

    MLA Style (8th edition)

  • Chilukuri, Raghu. "Spin Diffusion Associated with a Quantum Random Walk on a One-Dimensional Lattice." Master's thesis, University of Cincinnati, 2014. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1406820159

    Chicago Manual of Style (17th edition)

ucin1406820159
313
© 2014, all rights reserved.
This open access ETD is published by University of Cincinnati and OhioLINK.