Entanglement production in a chaotic quantum dot

Details Entanglement production in a chaotic quantum dot Entanglement production in a chaotic quantum dot

2003-10-09

arxiv.org/abs/cond-mat/0310199v1

Fundamental Problems of Mesoscopic Physics, eds. I.V. Lerner, B.L. Altshuler, and Y. Gefen, NATO Science Series II. Vol. 154 (

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

12 pages, 2 figures, Kluwer style file included

Scientific paper

It has recently been shown theoretically that elastic scattering in the Fermi sea produces quantum mechanically entangled states. The mechanism is similar to entanglement by a beam splitter in optics, but a key distinction is that the electronic mechanism works even if the source is in local thermal equilibrium. An experimental realization was proposed using tunneling between two edge channels in a strong magnetic field. Here we investigate a low-magnetic field alternative, using multiple scattering in a quantum dot. Two pairs of single-channel point contacts define a pair of qubits. If the scattering is chaotic, a universal statistical description of the entanglement production (quantified by the concurrence) is possible. The mean concurrence turns out to be almost independent on whether time-reversal symmetry is broken or not. We show how the concurrence can be extracted from a Bell inequality using low-frequency noise measurements, without requiring the tunneling assumption of earlier work.

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