Friday, July 20, 2012

1207.4623 (Dario Villamaina et al.)

Statistics of entanglement production in a chaotic dot with non-ideal
contacts
   [PDF]

Dario Villamaina, Pierpaolo Vivo
We compute analytically the full distribution of concurrence for the production of electronic entanglement in a chaotic quantum dot. The dot is connected to the external world via two leads, one of which is assumed to be ideal while the other is partially transparent. While previous works could address the issue only by means of numerical simulations, our analytical predictions stem from the recent calculation [P. Vidal and E. Kanzieper, Phys. Rev. Lett. 108, 206806 (2012)] of the joint distribution of transmission eigenvalues in non- ideal cavities for the case of broken time-reversal symmetry. The analytical results are valid for any value of the transparency parameter of the non-ideal lead. They are in excellent agreement with numerical simulations and imply that highly asymmetric transparencies for the contacts in the two leads significantly enhance the probability of producing entangled states inside the cavity.
View original: http://arxiv.org/abs/1207.4623

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