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

Samuelsson, Peter LU ; Sukhorukov, E and Buttiker, M (2005) In New Journal of Physics 7.
Abstract
A scattering approach to entanglement in mesoscopic conductors with independent fermionic quasi-particles is discussed. We focus on conductors in the tunnelling limit, where a redefinition of the quasi-particle vacuum transforms the wavefunction from a many-body product state of non-interacting particles to a state describing entangled two-particle excitations out of the new vacuum (Samuelsson, Sukhorukov and Buttiker 2003 Phys. Rev. Lett. 91 157002). The approach is illustrated with two examples: (i) a normal - superconducting system, where the transformation is made between Bogoliubov - de Gennes quasi-particles and Cooper pairs, and (ii) a normal system, where the transformation is made between electron quasi-particles and electron -... (More)
A scattering approach to entanglement in mesoscopic conductors with independent fermionic quasi-particles is discussed. We focus on conductors in the tunnelling limit, where a redefinition of the quasi-particle vacuum transforms the wavefunction from a many-body product state of non-interacting particles to a state describing entangled two-particle excitations out of the new vacuum (Samuelsson, Sukhorukov and Buttiker 2003 Phys. Rev. Lett. 91 157002). The approach is illustrated with two examples: (i) a normal - superconducting system, where the transformation is made between Bogoliubov - de Gennes quasi-particles and Cooper pairs, and (ii) a normal system, where the transformation is made between electron quasi-particles 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. (Less)
Please use this url to cite or link to this publication:
author
organization
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type
Contribution to journal
publication status
published
subject
in
New Journal of Physics
volume
7
publisher
IOP Publishing Ltd.
external identifiers
  • scopus:24144496859
  • wos:000231450600001
ISSN
1367-2630
DOI
10.1088/1367-2630/7/1/176
language
English
LU publication?
yes
id
8e394cd6-94d3-4060-a8e8-197e45a6c103 (old id 721844)
date added to LUP
2007-08-23 09:38:25
date last changed
2017-09-10 04:30:22
@article{8e394cd6-94d3-4060-a8e8-197e45a6c103,
  abstract     = {A scattering approach to entanglement in mesoscopic conductors with independent fermionic quasi-particles is discussed. We focus on conductors in the tunnelling limit, where a redefinition of the quasi-particle vacuum transforms the wavefunction from a many-body product state of non-interacting particles to a state describing entangled two-particle excitations out of the new vacuum (Samuelsson, Sukhorukov and Buttiker 2003 Phys. Rev. Lett. 91 157002). The approach is illustrated with two examples: (i) a normal - superconducting system, where the transformation is made between Bogoliubov - de Gennes quasi-particles and Cooper pairs, and (ii) a normal system, where the transformation is made between electron quasi-particles 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.},
  articleno    = {176},
  author       = {Samuelsson, Peter and Sukhorukov, E and Buttiker, M},
  issn         = {1367-2630},
  language     = {eng},
  publisher    = {IOP Publishing Ltd.},
  series       = {New Journal of Physics},
  title        = {Quasi-particle entanglement: redefinition of the vacuum and reduced density matrix approach},
  url          = {http://dx.doi.org/10.1088/1367-2630/7/1/176},
  volume       = {7},
  year         = {2005},
}