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{{DISPLAYTITLE:{{#invoke:Wd|label|Q4610}}}}
{{DISPLAYTITLE:{{#invoke:Wd|label|Q4610}}}}
<gallery widths=460 heights=200>
File:3082a.jpg|Schematic illustration of the Si-QuBus device. The clavier gate electrodes on the top surface generate a moving array of QD potentials.
File:3082b.jpg|Top view on the Si-QuBus with the four different clavier gate sets highlighted in color.
</gallery>




{{#invoke:Wd|label|Q4610}} is a {{#invoke:Wd|description|Q4610}}.
 
<b>
{{#invoke:Wd|description|Q4610}}
</b>
 
{{#invoke:TA4TK:myTest|getImageWithLegend}}
 
<br>
<br>
 


{{#invoke:TA4TK:myTest|buildDescription|Q4610}}
{{#invoke:TA4TK:myTest|buildDescription|Q4610}}
<br>
<br>
The {{#invoke:Wd|label|Q4610}} contains the following mathematical expressions with quantities:<br>
{{#invoke:TA4TK:myTest|getFormulationsWithQuantities|Q4610}}
The {{#invoke:Wd|label|Q4610}} is applied by the following computational tasks:
{{#invoke:TA4TK:myTest|getComputationalTasks|Q4610}}
<br>
<br>
<!-- TODO:


The {{#invoke:Wd|label|Q4610}} contains the following mathematical expressions:
TODO: The Research Problem (Spin Qbit Shuttling #invoke) is contained in the Research Field (Semiconductor Physics #invoke).
{{#sparql:
 
SELECT ?Formula ?defining_formulation
 
# Q4610 refers to Electron Shuttling Model
 
# P715 refers to contains
Research Field:
# P29 refers to defining formulation
 
WHERE {
- Semiconductor physics: https://portal.mardi4nfdi.de/wiki/Item:Q6534344
      wd:Q4610 wdt:P715 ?IDFormula.
 
      ?IDFormula  rdfs:label ?Formula.
 
      ?IDFormula wdt:P29 ?defining_formulation
Research Problem:
}
| chart=bordercloud.visualization.DataTable
| log=2
}}


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


TODO: This model is applied by the (3 or 4) tasks {#invoke}.


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


TODO: The Research Problem (Spin Qbit Shuttling #invoke) is contained in the Research Field (Semiconductor Physics #invoke).
- Electron Shuttling Model: https://portal.mardi4nfdi.de/wiki/Item:Q6534342


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.
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!!!!!'''




{{#invoke:TA4TK:myTest|hello}}


{{#invoke:TA4TK:myTest|renderFormula}}
--------------------------------------------------------------------------


<math>{{#invoke:TA4TK:myTest|renderFormula}}</math>
<!-- '''The rest is about testing more around and can be ignored!!!!!'''


<math>\sin x</math>


{{#sparql:
{{#sparql:
Line 61: Line 71:
| log=2
| log=2
}}
}}




{{#invoke:TA4TK:myTest|buildList|Q3871}}
{{#invoke:TA4TK:myTest|buildList|Q3871}}
<gallery widths=480 heights=200>
File:3082a.jpg|Schematic illustration of the Si-QuBus device. The clavier gate electrodes on the top surface generate a moving array of QD potentials.
File:3082b.jpg|Top view on the Si-QuBus with the four different clavier gate sets highlighted in color.
</gallery>
{{
#if:{{#statements:P1088|from=Q4610}} | {{#statements:P1088|from=Q4610}}
}}
{{#invoke:TA4TK:myTest|getImage}}
The {{#invoke:Wd|label|Q4610}} contains the following mathematical expressions:
{{#sparql:
    SELECT ?Formula ?defining_formula ?in_defining_formula
# Q4610 refers to Electron Shuttling Model
# P715 refers to contains
# P29 refers to defining formula
# P597 refers to in defining formula
WHERE {
      wd:Q4610 wdt:P715 ?IDFormula.
      ?IDFormula  rdfs:label ?Formula.
      ?IDFormula wdt:P29 ?defining_formula.
      ?IDFormula wdt:P597 ?in_defining_formula
}
| chart=bordercloud.visualization.DataTable
| log=2
}}
{{#sparql:
SELECT ?Formula ?defining_formulation ?IDFormula
# Q4610 refers to Electron Shuttling Model
# P715 refers to contains
# P29 refers to defining formulation
WHERE {
      wd:Q4610 wdt:P715 ?IDFormula.
      ?IDFormula  rdfs:label ?Formula.
      ?IDFormula wdt:P29 ?defining_formulation
}
| chart=bordercloud.visualization.DataTable
| log=2
}}
-->

Latest revision as of 10:22, 9 April 2025



quantum dynamical model of an electron to be shuttled in a silicon 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




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 with quantities:

Lua error in Module:TA4TK:myTest at line 272: attempt to index local 'alttext' (a nil value).

The Electron Shuttling Model is applied by the following computational tasks:

Optimal Control
Quantum Time Evolution
Quantum Stationary States
Semiconductor Charge Neutrality




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