Dephasing of Entangled Electron-Hole Pairs in a Degenerate Electron Gas

Authors : J L van VELSEN, M KINDERMANN, C W J BEENAKKER

Pages : 323-330

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Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :A tunnel barrier in a degenerate electron gas was recently discovered as a source of entangled electron-hole pairs. Here, we investigate the loss of entanglement by dephasing. We calculate both the maximal violation Emax of the Bell inequality and the degree of entanglement insert ignore into journalissuearticles values(concurrence); C. If the initially maximally entangled electron-hole pair is in a Bell state, then the Bell inequality is violated for arbitrary strong dephasing. The same relation Emax = 2 \sqrt{1 + C2} then holds as in the absence of dephasing. More generally, for a maximally entangled superposition of Bell states, the Bell inequality is satisfied for a finite dephasing strength and the entanglement vanishes for somewhat stronger insert ignore into journalissuearticles values(but still finite); dephasing strength. There is then no one-to-one relation between Emax and C.
Keywords : Entanglement, Bell inequality, Nonlocality, Decoherence