Spatial entanglement of fermions in one-dimensional quantum dots

Abstract

The time dependent quantum Monte Carlo method for fermions is introduced and applied for calculation of entanglement of electrons in one-dimensional quantum dots with several spin-polarized and spin-compensated electron configurations. The rich statistics of wave functions provided by the method allows one to build reduced density matrices for each electron and to quantify the spatial entanglement using measures such as quantum entropy by treating the electrons as identical or distinguishable particles. Our results indicate that the spatial entanglement in parallel-spin configurations is rather small and it is determined mostly by the quantum nonlocality introduced by the ground state. By contrast, in the spin-compensated case the outermost opposite-spin electrons interact like bosons which prevails their entanglement, while the inner shell electrons remain largely at their Hartree-Fock geometry. Our findings are in a close correspondence with the numerically exact results, wherever such comparison is possible.

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Cited by in corpus (4)

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• Local entanglement of electrons in 1D hydrogen molecule
• Effects of spatial nonlocality versus nonlocal causality for bound electrons in external fields
• Statistics of Marginal Wavefunctions as a Real-Space Diagnostic of Quantum Entanglement