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Entanglement at finite temperatures in the electronic two-particle interferometer

Samuelsson, Peter LU ; Neder, I. and Buettiker, M. (2009) 141st Nobel Symposium on Qubits for Future Quantum Information In Physica Scripta T137.
Abstract
In this work we discuss a theory for entanglement generation, characterization and detection in fermionic two-particle interferometers (2PIs) at finite temperature. The motivation for our work is provided by the recent experiment by the Heiblum group (Neder et al 2007 Nature 448 333) realizing the two particle interferometer proposed by Samuelsson et al (2004 Phys. Rev. Lett. 92 026805). The experiment displayed a clear two-particle Aharonov-Bohm effect, however with an amplitude suppressed due to finite temperature and dephasing. This raised qualitative as well quantitative questions about entanglement production and detection in mesoscopic conductors at finite temperature. As a response to these questions, in our recent work (Samuelsson... (More)
In this work we discuss a theory for entanglement generation, characterization and detection in fermionic two-particle interferometers (2PIs) at finite temperature. The motivation for our work is provided by the recent experiment by the Heiblum group (Neder et al 2007 Nature 448 333) realizing the two particle interferometer proposed by Samuelsson et al (2004 Phys. Rev. Lett. 92 026805). The experiment displayed a clear two-particle Aharonov-Bohm effect, however with an amplitude suppressed due to finite temperature and dephasing. This raised qualitative as well quantitative questions about entanglement production and detection in mesoscopic conductors at finite temperature. As a response to these questions, in our recent work (Samuelsson et al 2009 Phys. Rev. Lett. 102 106804), we presented a general theory for finite temperature entanglement in mesoscopic conductors. Applied to the 2PI we showed that the emitted two-particle state in the experiment was clearly entangled. Moreover, we demonstrated that the entanglement of the reduced two-particle state, reconstructed from measurements of average currents and current cross correlations, constitutes a lower bound to the entanglement of the emitted state. The present work provides an extended and more detailed discussion of these findings. (Less)
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author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
in
Physica Scripta
volume
T137
publisher
IOP Publishing
conference name
141st Nobel Symposium on Qubits for Future Quantum Information
external identifiers
  • wos:000272834700024
  • scopus:77952790928
ISSN
0031-8949
1402-4896
DOI
10.1088/0031-8949/2009/T137/014023
language
English
LU publication?
yes
id
464946c0-ac8a-4a68-93a5-541da3c9df60 (old id 1532226)
date added to LUP
2010-01-29 11:47:01
date last changed
2017-03-19 03:26:27
@inproceedings{464946c0-ac8a-4a68-93a5-541da3c9df60,
  abstract     = {In this work we discuss a theory for entanglement generation, characterization and detection in fermionic two-particle interferometers (2PIs) at finite temperature. The motivation for our work is provided by the recent experiment by the Heiblum group (Neder et al 2007 Nature 448 333) realizing the two particle interferometer proposed by Samuelsson et al (2004 Phys. Rev. Lett. 92 026805). The experiment displayed a clear two-particle Aharonov-Bohm effect, however with an amplitude suppressed due to finite temperature and dephasing. This raised qualitative as well quantitative questions about entanglement production and detection in mesoscopic conductors at finite temperature. As a response to these questions, in our recent work (Samuelsson et al 2009 Phys. Rev. Lett. 102 106804), we presented a general theory for finite temperature entanglement in mesoscopic conductors. Applied to the 2PI we showed that the emitted two-particle state in the experiment was clearly entangled. Moreover, we demonstrated that the entanglement of the reduced two-particle state, reconstructed from measurements of average currents and current cross correlations, constitutes a lower bound to the entanglement of the emitted state. The present work provides an extended and more detailed discussion of these findings.},
  author       = {Samuelsson, Peter and Neder, I. and Buettiker, M.},
  booktitle    = {Physica Scripta},
  issn         = {0031-8949},
  language     = {eng},
  publisher    = {IOP Publishing},
  title        = {Entanglement at finite temperatures in the electronic two-particle interferometer},
  url          = {http://dx.doi.org/10.1088/0031-8949/2009/T137/014023},
  volume       = {T137},
  year         = {2009},
}