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Quasi-particle entanglement : redefinition of the vacuum and reduced density matrix approach

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Published in New Journal of Physics. 2005, vol. 7, no. 176, p. 19
Abstract A scattering approach to entanglement in mesoscopic conductors with independent fermionic quasiparticles is discussed. We focus on conductors in the tunneling limit, where a redefinition of the quasiparticle vacuum transforms the wavefunction from a manybody product state of noninteracting particles to a state describing entangled two-particle excitations out of the new vacuum. The approach is illustrated with two examples (i) a normal-superconducting system, where the transformation is made between Bogoliubov-de Gennes quasiparticles and Cooper pairs, and (ii) a normal system, where the transformation is made between electron quasiparticles and electron-hole pairs. This is compared to a scheme where an effective two-particle state is derived from the manybody scattering state by a reduced density matrix approach.
Keywords Mesoscopic systems and quantum hall effectCondensed matter
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SAMUELSSON, Martin Peter, SUKHORUKOV, Eugene, BUTTIKER, Markus. Quasi-particle entanglement : redefinition of the vacuum and reduced density matrix approach. In: New Journal of Physics, 2005, vol. 7, n° 176, p. 19. https://archive-ouverte.unige.ch/unige:4179

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Deposited on : 2009-11-30

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