Detection of spin entanglement via spin-charge separation in crossed Tomonaga-Luttinger liquids

We investigate tunneling between two spinful Tomonaga-Luttinger liquids (TLLs) realized, e.g., as two crossed nanowires or quantum Hall edge states. When injecting into each TLL one electron of opposite spin, the dc current measured after the crossing differs for singlet, triplet, or product states....

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Bibliographic Details
Published in:Physical review letters 2014-12, Vol.113 (26), p.266401-266401, Article 266401
Main Authors: Schroer, Alexander, Braunecker, Bernd, Levy Yeyati, Alfredo, Recher, Patrik
Format: Article
Language:English
Subjects:
Alternating current
Beam splitters
Direct current
Entanglement
Liquids
Nanowires
Noise
Separation
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Summary:We investigate tunneling between two spinful Tomonaga-Luttinger liquids (TLLs) realized, e.g., as two crossed nanowires or quantum Hall edge states. When injecting into each TLL one electron of opposite spin, the dc current measured after the crossing differs for singlet, triplet, or product states. This is a striking new non-Fermi liquid feature because the (mean) current in a noninteracting beam splitter is insensitive to spin entanglement. It can be understood in terms of collective excitations subject to spin-charge separation. This behavior may offer an easier alternative to traditional entanglement detection schemes based on current noise, which we show to be suppressed by the interactions.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.113.266401