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.
C. A. Cain and C. Wu, "Thevenin Equivalence in Disorderless Quantum Networks," Journal of Applied Physics, vol. 117, no. 2, American Institute of Physics (AIP), Jan 2015.
The definitive version is available at https://doi.org/10.1063/1.4905691
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)
Article - Journal
© 2015 American Institute of Physics (AIP), All rights reserved.
01 Jan 2015