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

Published inNew journal of physics, vol. 7, no. 176, 19
Publication date2005
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 effect
  • Condensed matter
Citation (ISO format)
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. doi: 10.1088/1367-2630/7/1/176
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Journal ISSN1367-2630
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