Detection of entanglement by helical Luttinger liquids
Abstract
A Cooper-pair or electron-hole splitter is a device capable of spatially separating entangled fermionic quasiparticles into mesoscopic solid-state systems such as quantum dots or quantum wires. We theoretically study such a splitter based on a pair of helical Luttinger liquids, which arise naturally at the edges of a quantum spin Hall insulator. Equipping each helical liquid with a beam splitter, current-current cross correlations can be used to construct a Bell inequality whose violation would indicate nonlocal orbital entanglement of the injected electrons and/or holes. Due to the Luttinger-liquid correlations, however, the entanglement is suppressed depending on ambient temperature and voltage bias.
- Publication:
-
Physical Review B
- Pub Date:
- July 2014
- DOI:
- 10.1103/PhysRevB.90.045419
- arXiv:
- arXiv:1402.6022
- Bibcode:
- 2014PhRvB..90d5419S
- Keywords:
-
- 73.23.-b;
- 03.65.Ud;
- 71.10.Pm;
- 73.50.Td;
- Electronic transport in mesoscopic systems;
- Entanglement and quantum nonlocality;
- Fermions in reduced dimensions;
- Noise processes and phenomena;
- Condensed Matter - Mesoscale and Nanoscale Physics
- E-Print:
- doi:10.1103/PhysRevB.90.045419