Entanglement dynamics of electron-electron scattering in low-dimensional semiconductor systems

Abstract

We perform the quantitative evaluation of the entanglement dynamics in scattering events between two insistinguishable electrons interacting via Coulomb potential in 1D and 2D semiconductor nanostructures. We apply a criterion based on the von Neumann entropy and the Schmidt decomposition of the global state vector suitable for systems of identical particles. From the timedependent numerical solution of the two-particle wavefunction of the scattering carriers we compute their entanglement evolution for different spin configurations: two electrons with the same spin, with different spin, singlet, and triplet spin state. The procedure allows to evaluate the mechanisms that govern entanglement creation and their connection with the characteristic physical parameters and initial conditions of the system. The cases in which the evolution of entanglement is similar to the one obtained for distinguishable particles are discussed.

22 pages, 7 figures, submitted to Physical Review A

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• Two-electron entanglement in elliptically deformed quantum dots
• Quantum correlations in continuos-time quantum walks of two indistinguishable particles
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• Entanglement Mechanisms in One-Dimensional Potential Scattering
• A measure of tripartite entanglement in bosonic and fermionic systems
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• Quantum correlations of identical particles subject to classical environmental noise
• Probing the sign of on-site Hubbard interaction by two-particle quantum walks
• On demand entanglement in double quantum dots via coherent carrier scattering
• von Neumann entropy and localization properties of two interacting particles in one-dimensional nonuniform systems
• Entanglement of electrons in interacting molecules
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• Entanglement of a microcanonical ensemble
• Dynamics of Correlations and Entanglement Generation in Electron-Molecule Inelastic Scattering
• Quantum entanglement of bound particles under free center of mass dispersion