Statistics of orbital entanglement production in quantum-chaotic dots

Details Statistics of orbital entanglement production in quantum-chaotic dots Statistics of orbital entanglement production in quantum-chaotic dots

2007-12-04

arxiv.org/abs/0712.0623v2

Phys. Rev. B 77, 153403 (2008)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Added a reference and minor changes

Scientific paper

10.1103/PhysRevB.77.153403

The production of orbitally entangled electrons in quantum-chaotic dots is investigated from a statistical point of view. The degree of entanglement is quantified through the concurrence and the entanglement of formation. We calculate the complete statistical distributions of the entanglement measures by using random matrix theory. Simple analytical expressions are provided for the concurrence distributions. We identify clear signatures of time-reversal invariance in the production of entanglement at the level of the entanglement-measure distributions, such as the ability of producing maximally entangled (Bell) states, which passed unnoticed in previous works where only the first two moments of the distributions were studied.

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