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.

References in corpus (16)

• Quantum entanglement
• Concepts and methods in the theory of open quantum systems
• On the Entangling Power of Quantum Evolutions
• Quantum Correlations in Two-Fermion Systems
• General criterion for the entanglement of two indistinguishable particles
• Essential entanglement for atomic and molecular physics
• Linear entropy as an entanglement measure in two-fermion systems
• Entanglement and density-functional theory: testing approximations on Hooke's atom
• Separability Criteria and Entanglement Measures for Pure States of N Identical Fermions
• Entanglement in N-harmonium: bosons and fermions
• Correlated non-perturbative electron dynamics with quantum trajectories
• Entropy, fidelity, and double orthogonality for resonance states in two-electron quantum dots
• Configuration interaction calculations of the controlled phase gate in double quantum dot qubits
• Tuning spatial entanglement in interacting few-electron quantum dots
• Particle-wave dichotomy in quantum Monte Carlo: unlocking the quantum correlations
• Spatial non-locality in confined quantum systems: a liaison with quantum correlations

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• 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