Entanglement in a Noninteracting Mesoscopic Structure

Abstract

We study the time dependent electron-electron and electron-hole correlations in a mesoscopic device which is splitting an incident current of free fermions into two spatially separated particle streams. We analyze the appearance of entanglement as manifested in a Bell inequality test and discuss its origin in terms of local spin-singlet correlations already present in the initial channel and the action of post-selection during the Bell type measurement. The time window over which the Bell inequality is violated is determined in the tunneling limit and for the general situation with arbitrary transparencies. We compare our results with alternative Bell inequality tests based on coincidence probabilities.

9 pages, 2 figures

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• Entanglement of electron spins in superconductors
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• Generating spin-entangled electron pairs in normal conductors using voltage pulses
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• Statistics of orbital entanglement production in quantum-chaotic dots
• Characterizing electron entanglement in multiterminal mesoscopic conductors
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• Finite-temperature Bell test for quasiparticle entanglement in the Fermi sea
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• Two-particle entanglement in capacitively coupled Mach-Zehnder interferometers
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• Demonstrating Entanglement by Testing Bell's Theorem in Majorana Wires
• Entanglement of Nambu Spinors and Bell Inequality Test Without Beam Splitters
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• Behavior of a bipartite system in a cavity
• Detection of entanglement by helical Luttinger liquids
• Orbital entanglement and electron localization in quantum wires
• Bell's inequality test with time-delayed two-particle correlations
• Suppression of Visibility in a Two-Electron Mach-Zehnder Interferometer
• Thermal light edge enhancement ghost imaging of phase objects
• Bell-state correlations in current of local Fermi liquid