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.

Department(s)

Electrical and Computer Engineering

Keywords and Phrases

Band structure; Equivalent circuits; Networks (circuits); Quantum entanglement, Coupling strengths; Electron band structures; Equivalence principles; Equivalent model; First principles; Highly-correlated; Lattice spacing; Quantum network, Equivalence classes

International Standard Serial Number (ISSN)

0021-8979

Document Type

Article - Journal

Document Version

Final Version

File Type

text

Language(s)

English

Rights

© 2015 American Institute of Physics (AIP), All rights reserved.

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