Detection of spin entanglement via spin-charge separation in crossed Tomonaga-Luttinger liquids
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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.
Schroer , A , Braunecker , B , Levy Yeyati , A & Recher , P 2014 , ' Detection of spin entanglement via spin-charge separation in crossed Tomonaga-Luttinger liquids ' Physical Review Letters , vol 113 , 266401 . DOI: 10.1103/PhysRevLett.113.266401
Physical Review Letters
© 2014 American Physical Society. This work is made available online in accordance with the publisher’s policies. This is the author created, accepted version manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at http://dx.doi.org/10.1103/PhysRevLett.113.266401
The authors acknowledge the support by the EU-FP7 project “Source of Entangled Electrons in Nano Devices” (SE2ND), No. 271554, the DFG Grant No. RE 2978/1-1 (P.R.), and Spanish MINECO through Grant No. FIS2011-26156 (A.L.Y.).
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