Effects of spatial nonlocality versus nonlocal causality for bound
electrons in external fields
- URL: http://arxiv.org/abs/2206.02955v2
- Date: Wed, 21 Sep 2022 19:01:19 GMT
- Title: Effects of spatial nonlocality versus nonlocal causality for bound
electrons in external fields
- Authors: Ivan P. Christov
- Abstract summary: We compare the effects of spatial nonlocality versus nonlocal causality for the ground state and for real-time evolution of two entangled electrons in parabolic potential in one spatial dimension.
It was found that the spatial entanglement quantified by the linear quantum entropy is predicted with good accuracy using the spatial nonlocality, parameterized naturally within the TDQMC approach.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Using numerically exact solution of the time-dependent Schroedinger equation
together with time-dependent quantum Monte Carlo (TDQMC) calculations we
compare the effects of spatial nonlocality versus nonlocal causality for the
ground state and for real-time evolution of two entangled electrons in
parabolic potential in one spatial dimension. It was found that the spatial
entanglement quantified by the linear quantum entropy is predicted with good
accuracy using the spatial nonlocality, parameterized naturally within the
TDQMC approach. At the same time, the nonlocal causality predicted by the exact
solution leads to only small oscillations in the quantum trajectories which
belong to the idler electron as the driven electron is subjected to a strong
high frequency electric field, without interaction between the electrons.
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