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

Alexander Schroer, Bernd Braunecker, Alfredo Levy Yeyati, Patrik Recher

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)
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Abstract

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.
Original languageEnglish
Article number266401
Number of pages6
JournalPhysical Review Letters
Volume113
Issue number26
Early online date23 Dec 2014
DOIs
Publication statusPublished - 31 Dec 2014

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