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Spatial Entanglement of Fermions in One-Dimensional Quantum Dots
1Physics Department, Sofia University, 1164 Sofia, Bulgaria.
Entropy (Basel, Switzerland)
|August 6, 2021
Summary
We introduce a quantum Monte Carlo method to calculate electron entanglement in quantum dots. Parallel spins show minimal entanglement, while opposite spins exhibit significant entanglement due to bosonic interactions.
Area of Science:
- Quantum mechanics
- Computational physics
- Condensed matter physics
Background:
- Understanding electron entanglement is crucial for quantum technologies.
- Quantum dots are model systems for studying electron behavior.
- Previous methods struggled to accurately calculate entanglement in complex systems.
Purpose of the Study:
- Introduce a novel time-dependent quantum Monte Carlo (TDQMC) method for fermions.
- Apply TDQMC to calculate electron entanglement in one-dimensional quantum dots.
- Investigate the impact of spin configurations on spatial entanglement.
Main Methods:
- Developed and applied the time-dependent quantum Monte Carlo method for fermionic systems.
- Calculated reduced density matrices for individual electrons.
- Quantified spatial entanglement using quantum entropy for both identical and distinguishable particles.
Main Results:
- Spatial entanglement is minimal in parallel-spin configurations, dominated by ground-state nonlocality.
- Outermost opposite-spin electrons in spin-compensated configurations interact like bosons, enhancing entanglement.
- Inner-shell electrons in spin-compensated cases largely retain their Hartree-Fock geometry.
Conclusions:
- The TDQMC method accurately captures electron entanglement in quantum dots.
- Spin configuration significantly influences spatial entanglement.
- Bosonic-like interactions play a key role in entanglement for opposite-spin electrons.
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