Quasi-particle entanglement: redefinition of the vacuum and reduced density matrix approach
(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:
https://lup.lub.lu.se/record/721844
- author
- Samuelsson, Peter LU ; Sukhorukov, E and Buttiker, M
- organization
- publishing date
- 2005
- type
- Contribution to journal
- publication status
- published
- subject
- in
- New Journal of Physics
- volume
- 7
- article number
- 176
- publisher
- IOP Publishing
- 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
- 2016-04-01 16:07:10
- date last changed
- 2022-01-28 17:28:08
@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.}},
author = {{Samuelsson, Peter and Sukhorukov, E and Buttiker, M}},
issn = {{1367-2630}},
language = {{eng}},
publisher = {{IOP Publishing}},
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}},
doi = {{10.1088/1367-2630/7/1/176}},
volume = {{7}},
year = {{2005}},
}