DocumentCode
3524768
Title
Shape dependent controllability of a quantum transistor
Author
Mehats, Florian ; Privat, Yannick ; Sigalotti, Mario
Author_Institution
IRMAR, Univ. Rennes 1, Rennes, France
fYear
2013
fDate
10-13 Dec. 2013
Firstpage
1253
Lastpage
1258
Abstract
We investigate the controllability of a quantum electron trapped in a two-dimensional device. The problem is modeled by the Schrödinger equation in a bounded domain coupled to the Poisson equation for the electrical potential. The controller acts on the system through the boundary condition on the potential, on a part of the boundary modeling the gate. We prove that, generically with respect to the shape and boundary conditions on the gate, the device is controllable.
Keywords
Poisson equation; Schrodinger equation; controllability; quantum optics; transistors; 2D device; Poisson equation; Schrodinger equation; boundary condition; boundary modeling; electrical potential; quantum electron; quantum transistor; shape dependent controllability; Boundary conditions; Controllability; Eigenvalues and eigenfunctions; Electric potential; Equations; Logic gates; Mathematical model; controllability; genericity; nonlinear Schrödinger equation; shape deformation;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on
Conference_Location
Firenze
ISSN
0743-1546
Print_ISBN
978-1-4673-5714-2
Type
conf
DOI
10.1109/CDC.2013.6760054
Filename
6760054
Link To Document