Spatial entanglement of fermions in one-dimensional quantum dots
- URL: http://arxiv.org/abs/2107.03834v1
- Date: Thu, 8 Jul 2021 13:27:28 GMT
- Title: Spatial entanglement of fermions in one-dimensional quantum dots
- Authors: Ivan P. Christov
- Abstract summary: Time dependent quantum Monte Carlo method for fermions is introduced and applied for calculation of entanglement of electrons in one-dimensional quantum dots.
We show 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.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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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