Volume 66, Number 5, June 2004
|Page(s)||624 - 630|
|Published online||01 May 2004|
Entangled electronic state via an interacting quantum dot
Centro de Física, Instituto Venezolano de Investigaciones Científicas, IVIC Apartado 21827, Caracas 1020 A, Venezuela
2 Departamento de Física, Facultad de Ciencias, Universidad Central de Venezuela Caracas, Venezuela
3 Departamento de Física, FACYT, Universidad de Carabobo Valencia, Edo. Carabobo, Venezuela
4 Facultad de Matemática, Astronomía y Física, LaNAIS de RMS CONICET Universidad Nacional de Córdoba - Ciudad Universitaria, 5000 Córdoba, Argentina
5 Departamento de Química, Facultad de Ciencias, Universidad Central de Venezuela Caracas, Venezuela
Corresponding author: email@example.com
Accepted: 6 April 2004
We study a device for entangling electrons as co-tunneling occurs through a quantum dot where on-site electron-electron interactions U are in place. The main advantage of this device is that single-particle processes are forbidden by energy conservation as proposed by Oliver et al. (Phys. Rev. Lett.88 (2002) 7901). Within this model we calculated the two-electron transition amplitude, in terms of the T-matrix, to all orders in the coupling to the dot, and consider a finite lead bandwidth. The model filters singlet entangled pairs with the sole requirement of Pauli principle. Feynman paths involving consecutive and doubly occupied dot interfere destructively and produce a transition amplitude minimum at a critical value of the onsite repulsion U. Singlet filtering is demonstrated as a function of a gate voltage applied to the dot with a special resonance condition when the dot levels are symmetrically placed about the input lead energy.
PACS: 03.65.Ud – Entanglement and quantum nonlocality (e.g. EPR paradox, Bell's inequalities, GHZ states, etc.) / 73.63.Kv – Quantum dots
© EDP Sciences, 2004
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