Two-Electron Quantum Dots with Parabolic Confinement (Low Lying Para- and Ortho-States)


  • Menberu Mengesha Addis Ababa University, Physics Department
  • V.N. Mal’nev Addis Ababa University, Physics Department





Three low lying energy levels of a 3D two-electron quantum dot (QD) with parabolic confinement are obtained by the variational method. The proposed interpolation formulas for the variation parameters allow one to recover the energy levels in a wide range of the Coulomb interaction constant. The quantum states of the QD are divided into the para- and ortho-states like in the theory of helium atom. The quantum transitions from the ortho-state to the para-state are possible only with account of the spin-orbit interaction. At low temperatures, an ensemble of two-electron QDs contains dots in the ground para-state and in the first excited
ortho-state, which is metastable. These QDs have the entangled spin wave functions that are related to the Einstein–Podolsky–Rosen (EPR) states desirable for the quantum information protocol.


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How to Cite

Mengesha, M., & Mal’nev, V. (2022). Two-Electron Quantum Dots with Parabolic Confinement (Low Lying Para- and Ortho-States). Ukrainian Journal of Physics, 56(11), 1228.