A model of electron transport through a boson cavity
https://doi.org/10.17586/2220-8054-2018-9-2-171-178
Abstract
We propose a model describing electronic transport through a boson cavity. We use the Jaynes–Cummings model dealing with a two-level quantum dot coupled to a quantized electro-magnetic field and two semi-infinite wires. The mathematical background of our model is given by the theory of self-adjoint extensions of symmetric operators. Using the boundary triplets approach, the gamma-field and the Weyl function were calculated. In addition, we obtained the scattering matrix for the model system.
Supporting agencies: This work was partially financially supported by grant 16-11-10330 of Russian Science Foundation, by DFG Grants BR 1686/3-1, NE 1439/3-1. A.A.B. and I.Y.P. thank Professor J. Brasche and Clausthal University of Technology for kind hospitality.
About the Authors
A. A. Boitsev
ITMO University
Russian Federation
Russian Federation
Kronverkskiy, 49, St. Petersburg, 197101
J. Brasche
Institut fu¨r Mathematik, TU Clausthal
Germany
Germany
Erzstr. 1, D-38678 Clausthal-Zellerfeld
H. Neidhardt
Weierstrass Institute
Germany
Germany
Mohrenstr. 39, D-10117 Berlin
I. Y. Popov
ITMO University
Russian Federation
Russian Federation
Kronverkskiy, 49, St. Petersburg, 197101
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Review
For citations:
Boitsev A.A., Brasche J., Neidhardt H., Popov I.Y. A model of electron transport through a boson cavity. Nanosystems: Physics, Chemistry, Mathematics. 2018;9(2):171–178. https://doi.org/10.17586/2220-8054-2018-9-2-171-178
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