Evolution of entanglement in two-electron quantum dots in an external magnetic field
Seminars
Seminar on Low-Energy Nuclear Physics
Date and Time: Tuesday, 30 January 2018, at 11:00 AM
Venue: Blokhintsev Hall (4th floor), Bogoliubov Laboratory of Theoretical Physics
Seminar topic: «Evolution of entanglement in two-electron quantum dots in an external magnetic field”
Speaker: R. G. Nazmitdinov (Bogoliubov Laboratory of Theoretical Physics, JINR)
Abstract:
Quantum entanglement is analyzed thoroughly in a case of 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 experimental value of 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.