Quasiparticle entanglement: redefinition of the vacuum and reduced density matrix approach
arXiv:cond-mat/0503016 · doi:10.1088/1367-2630/7/1/176
Abstract
A scattering approach to entanglement in mesoscopic conductors with independent fermionic quasiparticles is discussed. We focus on conductors in the tunneling limit, where a redefinition of the quasiparticle vacuum transforms the wavefunction from a manybody product state of noninteracting particles to a state describing entangled two-particle excitations out of the new vacuum. The approach is illustrated with two examples (i) a normal-superconducting system, where the transformation is made between Bogoliubov-de Gennes quasiparticles and Cooper pairs, and (ii) a normal system, where the transformation is made between electron quasiparticles and electron-hole pairs. This is compared to a scheme where an effective two-particle state is derived from the manybody scattering state by a reduced density matrix approach.
Submitted to New Journal of Physics, Focused Issue on "Solid State Quantum Information". 19 pages, 7 figures
References in corpus (9)
- Production and detection of entangled electron-hole pairs in a degenerate electron gas
- Entanglement constrained by superselection rules
- Optimal spin-entangled electron-hole pair pump
- Electrical current noise of a beam splitter as a test of spin-entanglement
- Dynamic generation of orbital quasiparticle entanglement in mesoscopic conductors
- Entanglement in a Noninteracting Mesoscopic Structure
- Entanglement in Mesoscopic Structures: Role of Projection
- Entangled Hanbury Brown Twiss effects with edge states
- Production and detection of three-qubit entanglement in the Fermi sea
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