Anomalous Entanglement in Chaotic Dirac Billiards
arXiv:1501.05663 · doi:10.1103/PhysRevB.90.245107
Abstract
We present analytical and numerical results that demonstrate the presence of anomalous entanglement behavior on the Dirac Billiards. We investigate the statistical distribution of the characteristic entangled measures, focusing on the mean, on the variance and on the quantum interference terms. We show a quite distinct behavior of the Dirac Billiard compared with the non-relativist (Schrodinger) ones. Particularly, we show a very plausible Bell state and a sharp amplitude of quantum interference term on entangled electrons left from the Dirac Billiards. The results have remarkable relevance to the novel quantum dots build of materials like graphene or topological insulators.
5 pages, 2 figures
References in corpus (8)
- Chaotic Dirac billiard in graphene quantum dots
- Andreev reflection and Klein tunneling in graphene
- Dirac materials
- Production and detection of entangled electron-hole pairs in a degenerate electron gas
- Symmetry Classes in Graphene Quantum Dots: Universal Spectral Statistics, Weak Localization, and Conductance Fluctuations
- Onsager Relations in Coupled Electric, Thermoelectric and Spin Transport: The Ten-Fold Way
- Statistics of orbital entanglement production in quantum-chaotic dots
- Pseudospin entanglement and Bell test in graphene