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Reduced and projected two-particle entanglement at finite temperatures

Neder, I.
Published in Physical Review Letters. 2009, vol. 102, p. 106804
Abstract We present a theory for two-particle entanglement production and detection in mesoscopic conductors at finite temperature. In contrast to the zero temperature limit, the entanglement of the density matrix projected out of the emitted many-body state is different from the entanglement of the reduced density matrix, detectable by current correlation measurements. We show that under very general conditions the reduced entanglement constitutes a lower bound for the projected entanglement. Applying the theory to the recent experiment [Neder et al, Nature 448 333 (2007)] on a fermionic Hanbury Brown Twiss two-particle interferometer we find that despite an appreciable entanglement production in the experiment, the detectable entanglement is close to zero.
PMID: 19392143
arXiv: 0808.4090
Note Comments: Published version (with minor extensions)
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SAMUELSSON, Martin Peter, NEDER, I., BUTTIKER, Markus. Reduced and projected two-particle entanglement at finite temperatures. In: Physical Review Letters, 2009, vol. 102, p. 106804. https://archive-ouverte.unige.ch/unige:4235

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Deposited on : 2009-11-30

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