Thévenin equivalence in disorderless quantum networks

Journal Article · Wed Jan 14 00:00:00 EST 2015 · Journal of Applied Physics

DOI:https://doi.org/10.1063/1.4905691· OSTI ID:22412831

Cain, C. A.

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.

• OSTI ID: 22412831
• Journal Information: Journal of Applied Physics, Vol. 117, Issue 2; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0021-8979
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
AHARONOV-BOHM EFFECT
CLASSIFICATION
COUPLING
ELECTRONS
EQUIVALENCE PRINCIPLE
FERMI LEVEL
QUANTUM ENTANGLEMENT
SYMMETRY