Counting statistics for entangled electrons
arXiv:cond-mat/0107504 · doi:10.1103/PhysRevB.65.075317
Abstract
The counting statistics (CS) for charges passing through a coherent conductor is the most general quantity that characterizes electronic transport. CS not only depends on the transport properties of the conductor but also depends on the correlations among particles which compose the incident beam. In this paper we present general results for the CS of entangled electron pairs traversing a beam splitter and we show that the probability that Q charges have passed is not binomial, as in the uncorrelated case, but rather it is symmetric with respect to the average transferred charge. We furthermore consider the joint probability for transmitted charges of a given spin and we show that the signature of entanglement distinctly appears in a correlation which is not present for the non-entangled case.
8 pages, 4 figures
References in corpus (3)
Cited by in corpus (32)
- Stochastic Path Integral Formulation of Full Counting Statistics
- Full Counting Statistics in Strongly Interacting Systems: Non-Markovian Effects
- Rashba spin-orbit interaction and shot noise for spin-polarized and entangled electrons
- Spin current shot noise as a probe of interactions in mesoscopic systems
- Wave-packet Formalism of Full Counting Statistics
- Entanglement Controlled Single-Electron Transmittivity
- Shot noise and spin-orbit coherent control of entangled and spin polarized electrons
- Lower bound for electron spin entanglement from beamsplitter current correlations
- Full Counting Statistics of Interacting Electrons
- Electronic Hong-Ou-Mandel interferometer for multi-mode entanglement detection
- Tunable dynamical channel blockade in double-dot Aharonov-Bohm interferometers
- Spin noise and Bell inequalities in a realistic superconductor-quantum dot entangler
- Full Counting Statistics with Spin-sensitive Detectors reveals Spin-singlets
- Clauser-Horne inequality for electron counting statistics in multiterminal mesoscopic conductors
- Absence of split pairs in the cross-correlations of a highly transparent normal metal-superconductor-normal metal electron beam splitter
- Quantum theory of light scattering in a one-dimensional channel: Interaction effect on photon statistics and entanglement entropy
- Full counting statistics of incoherent Andreev transport
- Determining the spin Hall conductance via charge transport
- Elementary Charge Transfer Processes in a Superconductor-Ferromagnet Entangler
- Characterizing electron entanglement in multiterminal mesoscopic conductors
- Multiparticle Interference, GHZ Entanglement, and Full Counting Statistics
- Chiral Majorana Interference as a Source of Quantum Entanglement
- Effect of Static Disorder in an Electron Fabry-Perot Interferometer with Two Quantum Scattering Centers
- Entanglement detection for electrons via witness operators
- Effect of inelastic scattering on spin entanglement detection through current noise
- Topological transitions in quantum jump dynamics: Hidden exceptional points
- Sub Decoherence Time Generation and Detection of Orbital Entanglement
- Full counting statistics of the two-stage Kondo effect
- Clauser-Horne inequality and decoherence in mesoscopic conductors
- Probing Cooper Pairs with Franson Interferometry
- Full Counting Statistics in Quantum Contacts
- Full counting statistics of Kondo-type tunneling in a quantum dot: the fluctuation effect of Slave-Boson field