Electron Shuttling Model

Schematic illustration of the Si-QuBus device. The clavier gate electrodes on the top surface generate a moving array of QD potentials.
Top view on the Si-QuBus with the four different clavier gate sets highlighted in color.

Electron Shuttling Model is a quantum dynamical model of an electron to be shuttled in a silicon quBus device.

Quantum dynamical modeling of an electron to be shuttled, governed by the electric potential generated by the clavier (and other) gates in a Silicon QuBus device. Spin and valley states as well as the respective interactions are neglected. Moreover, the current model is limited to the coherent wave packet evolution and disregards the effects of noise and dissipation.

The Electron Shuttling Model contains the following mathematical expressions:

The Electron Shuttling Model is applied by the following tasks:

    wd:Q3782 wdt:P1046 ?URL.
     ?URL rdfs:label ?Label 
     BIND(CONCAT("<a href=", STR(?URL),  ">", STR(?Label) ,"</a>") as ?Model

TODO: Eloi: import in backend Spin Qbit Shuttling (Research Problem), Research Field (Semiconductor Physics #invoke)

TODO: The Research Problem (Spin Qbit Shuttling #invoke) is contained in the Research Field (Semiconductor Physics #invoke).

TODO: Burkhard: add assumptions in backend. -> This will be displayed in frontend.

TODO: It would be interesting to show below every formula the quantities contained.

Research Field:

- Semiconductor physics: https://portal.mardi4nfdi.de/wiki/Item:Q6534344

Research Problem:

- Spin Qbit Shuttling: https://portal.mardi4nfdi.de/wiki/Item:Q6534343

Mathematical Model:

- Electron Shuttling Model: https://portal.mardi4nfdi.de/wiki/Item:Q6534342

Computational Tasks: - Optimal Control: https://portal.mardi4nfdi.de/entity/Q6534338 - Quantum Time Evolution: https://portal.mardi4nfdi.de/entity/Q6534339 - Quantum Stationary States: https://portal.mardi4nfdi.de/entity/Q6534340 - Semiconductor Charge Neutrality: https://portal.mardi4nfdi.de/entity/Q6534341

Assumptions:

- https://portal.mardi4nfdi.de/wiki/Item:Q6534305 (Time-Dependent Schrödinger Equation generalizes Time-Independent Schrödinger Equation)

- https://portal.mardi4nfdi.de/wiki/Item:Q6534349 (Liouville-von Neumann Equation) generalizes Time-Dependent Schrödinger Equation)

The rest is about testing more around and can be ignored!!!!!

Hello World!

$\sin x$

Free Fall Impact Velocity