Quantum Coherence of Electrons Field-Emitted from a Superconductor: Correlations and Entanglement
arXiv:0906.4042 · doi:10.1103/PhysRevB.80.104516
Abstract
The correlations of the electrons field-emitted from a superconductor are fully analyzed, both in space and time. It is proposed that a coincidence experiment would reveal a positive correlation between the electrons emitted in opposite directions. The electrons can be entangled and can even violate Bell's inequality. The crucial role played by Andreev's process is scrutinized, analytical formulas are derived for the correlations, and the physics behind the phenomenon is clarified.
21 pages, 9 figures, typos corrected
References in corpus (44)
- Entanglement of Formation of an Arbitrary State of Two Qubits
- Shot Noise in Mesoscopic Conductors
- Probing many-body states of ultra-cold atoms via noise correlations
- Andreev-Tunneling, Coulomb Blockade, and Resonant Transport of Non-Local Spin-Entangled Electrons
- Camparison of the Hanbury Brown-Twiss effect for bosons and fermions
- Hanbury Brown Twiss effect for ultracold quantum gases
- Evidence for crossed Andreev reflection in superconductor-ferromagnet hybrid structures
- Correlations and Counting Statistics of an Atom Laser
- Electronic Entanglement in the Vicinity of a Superconductor
- Two-particle Aharonov-Bohm effect and Entanglement in the electronic Hanbury Brown Twiss setup
- Free fermion antibunching in a degenerate atomic Fermi gas released from an optical lattice
- Experimental observation of bias-dependent non-local Andreev reflection
- Orbital entanglement and violation of Bell inequalities in mesoscopic conductors
- Bell inequalities and entanglement in solid state devices
- Correlated tunneling into a superconductor in a multiprobe hybrid structure
- Interference of two electrons entering a superconductor
- Probing Spatial Correlations with Nanoscale Two-Contact Tunneling
- Production and detection of entangled electron-hole pairs in a degenerate electron gas
- Subgap Conductivity of a Superconducting-Normal Tunnel Interface
- Spin-Dependent Josephson Current through Double Quantum Dots and Measurement of Entangled Electron States
- Superconductor coupled to two Luttinger liquids as an entangler for electron spins
- Generic entanglement generation, quantum statistics and complementarity
- Positive and negative Hanbury-Brown and Twiss correlations in normal metal-superconducting devices
- Full Counting Statistics of a Superconducting Beam Splitter
- Current-current correlations in hybrid superconducting and normal metal multiterminal structures
- Chaotic dot-superconductor analog of the Hanbury Brown Twiss effect
- Test of Bell's Inequality using the Spin Filter Effect in Ferromagnetic Semiconductor Micro-structures
- Single Carbon Nanotube--Superconductor Entangler: noise correlations and EPR states
- Dynamical Coulomb blockade and spin-entangled electrons
- Entangled electron current through finite size normal-superconductor tunneling structures
- Quantum master equations for the superconductor--dot entangler
- Electrical current noise of a beam splitter as a test of spin-entanglement
- Distribution functions and current-correlations in normal-metal--superconductor hetero-structures
- Effective charges and statistical signatures in the noise of normal metal--superconductor junctions at arbitrary bias
- Semiclassical theory of current correlations in chaotic dot-superconductor systems
- Direct experimental evidence of free fermion antibunching
- Clauser-Horne inequality for electron counting statistics in multiterminal mesoscopic conductors
- Positive cross-correlations induced by ferromagnetic contacts
- Signature of a crossed Andreev reflection effect (CARE) in the magnetic response of YBCO junctions with the itinerant ferromagnet SrRuO_3
- Nonequilibrium Steady States and MacLennan-Zubarev Ensembles in a Quantum Junction System
- Divergent beams of nonlocally entangled electrons emitted from hybrid normal-superconducting structures
- Entanglement of Electrons Field-Emitted from a Superconductor
- Maximal positive cross shot noise from Andreev reflection
- Lateral Effects in Fermion Antibunching