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Effects of Spatial Nonlocality versus Nonlocal Causality for Bound Electrons in External Fields
1Physics Department, Sofia University, 1164 Sofia, Bulgaria.
Entropy (Basel, Switzerland)
|June 24, 2022
Summary
This study compares spatial nonlocality and nonlocal causality in entangled electrons. Spatial nonlocality accurately predicts entanglement, while nonlocal causality shows minor effects on quantum trajectories.
Area of Science:
- Quantum mechanics
- Computational physics
Background:
- Understanding quantum entanglement dynamics is crucial for quantum information science.
- Distinguishing between spatial nonlocality and nonlocal causality effects is key for accurate quantum system modeling.
Purpose of the Study:
- To compare the distinct effects of spatial nonlocality and nonlocal causality on two entangled electrons.
- To evaluate the predictive accuracy of the time-dependent quantum Monte Carlo (TDQMC) approach for quantum entanglement.
Main Methods:
- Numerically exact solution of the time-dependent Schrödinger equation.
- Time-dependent quantum Monte Carlo (TDQMC) calculations.
- Analysis of ground state and real-time evolution of two entangled electrons in a 1D parabolic potential.
Main Results:
- Spatial nonlocality, parameterized in TDQMC, accurately predicts spatial entanglement quantified by linear quantum entropy.
- Nonlocal causality, from the exact solution, results in minor oscillations in the idler electron's quantum trajectories.
- These effects were observed under external driving of one electron with a high-frequency electric field, without inter-electron interaction.
Conclusions:
- The TDQMC method effectively captures spatial entanglement effects driven by spatial nonlocality.
- Nonlocal causality introduces subtle, localized effects on quantum trajectories, distinct from spatial entanglement.
- This research clarifies the roles of different nonlocality aspects in quantum electron dynamics.
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