Two electron entanglement in quasi-one dimensional system: Role of resonances

Abstract

We analyze the role of resonances in two-fermion entanglement production for a quasi one-dimensional two channel scattering problem. We solve exactly for the problem of a two-fermion antisymmetric product state scattering off a double delta well potential. It is shown that the two-particle concurrence of the post-selected state has an oscillatory behavior where the concurrence vanishes at the values of momenta for virtual bound states in the double well. These concurrence zeros are interpreted in terms of the uncertainty in the knowledge of the state of the one particle subspace reduced one particle density matrix. Our results suggest manipulation of fermion entanglement production through the resonance structure of quantum dots.

4 pages, 3 figures

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Cited by in corpus (5)

• Carrier-carrier entanglement and transport resonances in semiconductor quantum dots
• On demand entanglement in double quantum dots via coherent carrier scattering
• Tunneling and transmission resonances of a Dirac particle by a double barrier
• Two electron entanglement enhancement by an inelastic scattering process
• Entanglement creation in semiconductor quantum dot charge qubit