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arXiv:1002.0970 · Physica E Low-dimensional Systems and Nanostructures

Control of a two-electron quantum ring with an external magnetic field

Jani Särkkä, Ari Harju

Published Dec 6, 2009• 6 citations
arXivHTMLPDF
DOI
10.1016/j.physe.2009.11.147

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A quantum ring device that can turn on and off the external magnetic field on the ring is developed.The device is to study the effect of the interaction between electrons and external magnetic fields on Aharonov-Bohm interference.The switching is realized by employing a superconducting shield gate and turning on and off the superconductivity on the gate with applied current or magnetic field.The electron interference due to Aharonov-Bohm effect is observed regardless of the presence of the external magnetic field on the electron path of the ring.The result is consistent with the fact that effects of potentials on charged particles exists even in the region where all the field vanish hence no direct interaction between electron and magnetic field is allowed.
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Quantum Schrödinger equation, describing dynamical spin-interaction of two electrons with external magnetic field, is considered as an object for cybernetic research. Indeed, because of having a possibility to change external magnetic field, we can influence the interaction of particles. The algorithm of investigation of the algebraic structure of the spin-system is given. A specification of this algorithm is essentially connected with a control aspect. The spin-system is decomposed into six subsystems by us-ing the found algebraic structure. Five from them are one-dimensional noninteract subsystems. Every from the latter has his own one-dimensional control. 1 Description of the system Let us consider a Schrödinger equation for the spin-state X (t) of two spin-interacting electrons in an external inhomogeneous magnetic field [1] ih̄ d dt