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

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

doi:10.1103/PhysRevLett.113.266401

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

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

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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 language	English
Article number	266401
Number of pages	6
Journal	Physical Review Letters
Volume	113
Issue number	26
Early online date	23 Dec 2014
DOIs	https://doi.org/10.1103/PhysRevLett.113.266401
Publication status	Published - 31 Dec 2014

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10.1103/PhysRevLett.113.266401

Braunecker_2014_PRL_Detection
© 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://doi.org/10.1103/PhysRevLett.113.266401
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title = "Detection of spin entanglement via spin-charge separation in crossed Tomonaga-Luttinger liquids",

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.",

author = "Alexander Schroer and Bernd Braunecker and {Levy Yeyati}, Alfredo and Patrik Recher",

note = "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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doi = "10.1103/PhysRevLett.113.266401",

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T1 - Detection of spin entanglement via spin-charge separation in crossed Tomonaga-Luttinger liquids

AU - Schroer, Alexander

AU - Braunecker, Bernd

AU - Levy Yeyati, Alfredo

AU - Recher, Patrik

N1 - 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.).

PY - 2014/12/31

Y1 - 2014/12/31

N2 - 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.

AB - 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.

UR - http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.113.266401#supplemental

U2 - 10.1103/PhysRevLett.113.266401

DO - 10.1103/PhysRevLett.113.266401

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JO - Physical Review Letters

JF - Physical Review Letters

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

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Bernd Braunecker

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

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