Full Counting Statistics of Generic Spin Entangler with Quantum Dot-Ferromagnet detectors
arXiv:1312.3982 · doi:10.1209/0295-5075/105/47013
Abstract
Entanglement between spatially separated electrons in nanoscale transport is a fundamental property, yet to be demonstrated experimentally. Here we propose and analyse theoretically the transport statistics of a generic spin entangler coupled to a hybrid quantum dot-ferromagnet detector system. We show that the full distribution of charges arriving at the ferromagnetic terminals provide complete information on the spin state of the particles emitted by the entangler. This provides means for spin entanglement detection via electrical current correlations, with optimal measurement strategies depending on the a priori knowledge of ferromagnet polarization and spin-flip rates in the detector dots. The scheme is exemplified by applying it to Andreev and triple dot entanglers.
6 pages, 3 figures
References in corpus (10)
- Near-unity Cooper pair splitting efficiency
- Production and detection of entangled electron-hole pairs in a degenerate electron gas
- Full Counting Statistics in Strongly Interacting Systems: Non-Markovian Effects
- Full counting statistics of nano-electromechanical systems
- Superconducting proximity effect in interacting quantum dots revealed by shot noise
- Spin-induced charge correlations in transport through interacting quantum dots with ferromagnetic leads
- Full Counting Statistics with Spin-sensitive Detectors reveals Spin-singlets
- Reduced and projected two-particle entanglement at finite temperatures
- Elementary Charge Transfer Processes in a Superconductor-Ferromagnet Entangler
- Finite-temperature Bell test for quasiparticle entanglement in the Fermi sea
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- Minimal Entanglement Witness From Electrical Current Correlations
- Dynamic Cooper Pair Splitter
- Optimal Entanglement Witness for Cooper Pair Splitters