The Relationship Between Entanglement, Energy, and Level Degeneracy in Two-Electrons Systems

Abstract

The entanglement properties of two-electron atomic systems have been the subject of considerable research activity in recent years. These studies are still somewhat fragmentary, focusing on numerical computations on particular states of systems such as Helium, or on analytical studies of model-systems such as the Moshinsky atom. Some general trends are beginning to emerge from these studies: the amount of entanglement tends to increase with energy and, in the case of excited states, entanglement does not necessarily tend to zero in the limit of vanishing interaction between the two constituting particles. A physical explanation of these properties, shared by the different two-electrons models investigated so far, is still lacking. As a first step towards this goal we perform here, via a perturbative approach, an analysis of entanglement in two-electrons models that sheds new light on the physical origin of the aforementioned features and on their universal character.

9 pages, 2 figures

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Cited by in corpus (12)

• Entanglement in indistinguishable particle systems
• Entanglement and the Born-Oppenheimer approximation in an exactly solvable quantum many-body system
• Entanglement entropies in the ground states of helium-like atoms
• Impurity Effects in Two-Electron Coupled Quantum Dots: Entanglement Modulation
• Entanglement in S states of two-electron quantum dots with Coulomb impurities at the center
• Energy dependence of the entanglement entropy of composite boson (quasiboson) systems
• Magnetic alteration of entanglement in two-electron quantum dots
• Exact treatment of planar two-electron quantum dots: effects of anharmonicity on the complexity
• On the correlation measure of two-electron systems
• Quantum entanglement of two harmonically trapped dipolar particles
• Resonance states in a cylindrical quantum dot with an external magnetic field
• Quantum correlations in one-dimensional Wigner molecules