Influence of a Superconducting Lead on Orbital Entanglement Production in Chaotic Cavities

Rodríguez-Pérez, S.; Novaes, Marcel

doi:10.1007/s13538-015-0348-5

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2017

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“…Despite the results for the Wigner-Dyson and Chiral ensembles, a study of this kind is still missing for the Altland-Zirnbauer ensembles. In this work, we consider the concurrence statistics for the entanglement of two electrons leaving a AB (a CBB in contact with superconductor) [24,25] through opposing leads. We calculate the exact concurrence probability distributions with and without TRS and show that they are quite distinct compared with both the SB [18] and the DB [23] results.…”

Section: Introductionmentioning

confidence: 99%

Entanglement distribution statistic in Andreev billiards

2017

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We investigate statistical aspects of the entanglement production for open chaotic mesoscopic billiards in contact with superconducting parts, known as Andreev billiards. The complete distributions of concurrence and entanglement of formation are obtained by using the Altland-Zirnbauer symmetry classes of circular ensembles of scattering matrices, which complements previous studies in chaotic universal billiards belonging to other classes of random matrix theory. Our results show a unique and very peculiar behavior: the realization of entanglement in a Andreev billiard always results in non-separable state, regardless of the time reversal symmetry. The analytical calculations are supported by a numerical Monte Carlo simulation.

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Section: Introductionmentioning

confidence: 99%