Energy entanglement in normal metal-superconducting forks
arXiv:cond-mat/0605428 · doi:10.1103/PhysRevB.74.085326
Abstract
The possibility for detecting energy entanglement in normal metal - superconductor junctions is examined. For the first time we proved that two electrons in a NS structure originating from the same Cooper pair are entangled in the energy subspace. This work follows previous works where spin entanglement was studied in similar circuits. The device consists of a superconducting beam splitter connected to two electronic Mach-Zehnder interferometers. In each arms of the interferometers, energies are filtered with coherent quantum dots. In contrast to previous studies of zero-frequency cross-correlations of electrical currents for this system, attention is drawn to finite-time measurements. This allows to observe two-particle interference for particles with different energies above and below Fermi level. Entanglement is first characterized via the concurrence for the two-particle spatial density matrix. Next, we formulate the Bell inequality, which is written in terms of finite-time noise correlators, and thereby we find a specific set of parameters for which entanglement can be detected.
14 pages, 6 figures
References in corpus (4)
- Production and detection of entangled electron-hole pairs in a degenerate electron gas
- Influence of dephasing on shot noise in an electronic Mach-Zehnder interferometer
- Lower bound for electron spin entanglement from beamsplitter current correlations
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Cited by in corpus (10)
- Scattering matrix approach to the description of quantum electron transport
- Production of non-local quartets and phase-sensitive entanglement in a superconducting beam splitter
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- Crossed Andreev reflection in diffusive contacts
- Spin-polarized Andreev transport influenced by Coulomb repulsion through two quantum dot system
- Full counting statistics of crossed Andreev reflection
- Elementary Charge Transfer Processes in a Superconductor-Ferromagnet Entangler
- Entanglement detection for electrons via witness operators
- Finite-temperature Bell test for quasiparticle entanglement in the Fermi sea
- Maximal positive cross shot noise from Andreev reflection