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.
authors.affiliation: Institut für Mathematische Physik, Technische Universität Braunschweig, D-38106 Braunschweig, Germany.
authors.forename: Alexander
authors.initials: A
authors.lastname: Schroer
authors.affiliation: Scottish Universities Physics Alliance, School of Physics and Astronomy, University of St Andrews, North Haugh, St Andrews KY16 9SS, United Kingdom.
authors.forename: Bernd
authors.initials: B
authors.lastname: Braunecker
authors.affiliation: Departamento de Física Teórica de la Materia Condensada, Condensed Matter Physics Center (IFIMAC), and Instituto Nicolás Cabrera, Universidad Autónoma de Madrid, E-28049 Madrid, Spain.
authors.forename: Alfredo
authors.initials: A
authors.lastname: Levy Yeyati
authors.affiliation: Institut für Mathematische Physik, Technische Universität Braunschweig, D-38106 Braunschweig, Germany and Interactive Research Center of Science, Tokyo Institute of Technology, 2-12-1 Ookayama, Meguro, Tokyo 152-8551, Japan.
authors.forename: Patrik
authors.initials: P
authors.lastname: Recher