Magnetic alteration of entanglement in two-electron quantum dots

Abstract

Quantum entanglement is analyzed thoroughly in the case of the ground and lowest states of two-electron axially symmetric quantum dots under a perpendicular magnetic field. The individual-particle and the center-of-mass representations are used to study the entanglement variation at the transition from interacting to noninteracting particle regimes. The mechanism of symmetry breaking due to the interaction, that results in the states with symmetries related to the later representation only, being entangled even at the vanishing interaction, is discussed. The analytical expression for the entanglement measure based on the linear entropy is derived in the limit of noninteracting electrons. It reproduces remarkably well the numerical results for the lowest states with the magnetic quantum number M>2 in the interacting regime. It is found that the entanglement of the ground state is a discontinuous function of the field strength. A method to estimate the entanglement of the ground state, characterized by the quantum number M, with the aid of the magnetic field dependence of the addition energy is proposed.

21 pages, 7 figures

References in corpus (5)

• Linear entropy as an entanglement measure in two-fermion systems
• Ensemble averaged entanglement of two-particle states in Fock space
• Entropy, fidelity, and double orthogonality for resonance states in two-electron quantum dots
• Quantification of entanglement entropy in helium by the Schmidt-Slater decomposition method
• Dynamical screening of the Coulomb interaction for two confined electrons in a magnetic field

Cited by in corpus (7)

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• Tunable mode entanglement: topological Su-Schrieffer-Heeger (SSH) chain with an embedded Aharonov-Bohm quantum ring
• Bipartite correlations in quantum resonance states
• Speed of evolution in entangled fermionic systems
• Hyperspherical Slater determinant approach to few-body fractional quantum Hall states