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Title: Thévenin equivalence in disorderless quantum networks

Abstract

We outline the procedure of extending the Thévenin equivalence principle for classical electric circuits to reducing Aharonov-Bohm-based quantum networks into equivalent models. With examples, we show from first principles how the requirements are related to the electron band structure's Fermi level and the lattice spacing of the network. Quantum networks of varying degrees of coupling strength from four basic classifications of single and double entangled loops sharing symmetry and highly correlated band structures are used to demonstrate the concept. We show the limitations of how the principle may be applied. Several classes of examples are given and their equivalent forms are shown.

Authors:
;  [1]
  1. Department of Electrical and Computer Engineering, Missouri University of Science and Technology, 301 W 16th St., Rolla, Missouri 65409 (United States)
Publication Date:
OSTI Identifier:
22412831
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Applied Physics; Journal Volume: 117; Journal Issue: 2; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; AHARONOV-BOHM EFFECT; CLASSIFICATION; COUPLING; ELECTRONS; EQUIVALENCE PRINCIPLE; FERMI LEVEL; QUANTUM ENTANGLEMENT; SYMMETRY

Citation Formats

Cain, C. A., and Wu, C. H., E-mail: chw@mst.edu. Thévenin equivalence in disorderless quantum networks. United States: N. p., 2015. Web. doi:10.1063/1.4905691.
Cain, C. A., & Wu, C. H., E-mail: chw@mst.edu. Thévenin equivalence in disorderless quantum networks. United States. doi:10.1063/1.4905691.
Cain, C. A., and Wu, C. H., E-mail: chw@mst.edu. Wed . "Thévenin equivalence in disorderless quantum networks". United States. doi:10.1063/1.4905691.
@article{osti_22412831,
title = {Thévenin equivalence in disorderless quantum networks},
author = {Cain, C. A. and Wu, C. H., E-mail: chw@mst.edu},
abstractNote = {We outline the procedure of extending the Thévenin equivalence principle for classical electric circuits to reducing Aharonov-Bohm-based quantum networks into equivalent models. With examples, we show from first principles how the requirements are related to the electron band structure's Fermi level and the lattice spacing of the network. Quantum networks of varying degrees of coupling strength from four basic classifications of single and double entangled loops sharing symmetry and highly correlated band structures are used to demonstrate the concept. We show the limitations of how the principle may be applied. Several classes of examples are given and their equivalent forms are shown.},
doi = {10.1063/1.4905691},
journal = {Journal of Applied Physics},
number = 2,
volume = 117,
place = {United States},
year = {Wed Jan 14 00:00:00 EST 2015},
month = {Wed Jan 14 00:00:00 EST 2015}
}