Shape transitions in excited states of two-electron quantum dots in a magnetic field

We use entanglement to study shape transitions in two-electron axially symmetric parabolic quantum dots in a perpendicular magnetic field. At a specific magnetic field value the dot attains a spherical symmetry. The transition from the axial to the spherical symmetry manifests itself as a drastic change of the entanglement of the lowest state with zero angular momentum projection. While the electrons in such a state are always localized in the plane (x-y) before the transition point, after this point they become localized in the vertical direction.Fil: Nazmitdinov, R.G.. Bogoliubov Laboratory Of Theoretical Physics, Joint Institute For Nuclear Research; Rusia. Universitat de Les Illes Balears; EspañaFil: Simonovic, N. S.. University of Belgrade; SerbiaFil: Plastino, Ángel Ricardo. Comisión de Regulación de Energía y Gas; Argentina. Universidad Nacional de La Plata; Argentina. Universidad de Granada; España. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; ArgentinaFil: Chizhov, A.V.. Bogoliubov Laboratory Of Theoretical Physics, Joint Institute For Nuclear Research; Rusi

Modifying the photodetachment near a metal surface by a weak electric field

We show the photodetachment cross sections of H near a metal surface can be modified using a weak static electric field. The modification is possible because the oscillatory part of the cross section near a metal surface is directly connected with the transit-time and the action of the detached-electron closed-orbit which can be changed systematically by varying the static electric field strength. Photodetachment cross sections for various photon energies and electric field values are calculated and displayed.Comment: 16 pages, 7 figure

Classical Coulomb three-body problem in collinear eZe configuration

Classical dynamics of two-electron atom and ions H$^{-}$, He, Li$^{+}$, Be$^{2+}$,... in collinear eZe configuration is investigated. It is revealed that the mass ratio $\xi$ between necleus and electron plays an important role for dynamical behaviour of these systems. With the aid of analytical tool and numeircal computation, it is shown that thanks to large mass ratio $\xi$, classical dynamics of these systems is fully chaotic, probably hyperbolic. Experimental manifestation of this finding is also proposed.Comment: Largely rewritten. 21 pages. All figures are available in http://ace.phys.h.kyoto-u.ac.jp/~sano/3-body/index.htm

Quantum over-barrier reflection effects manifested in the photodetachment cross sections

Photodetachment of H$^-$ near a potential barrier is studied. A new formula is presented for the cross sections induced by a barrier. The new formula describes two quantum effects near barrier tops. For energies near and above barrier tops, the quantum over-barrier reflection effects are included and the induced oscillations in the cross sections are still prominent; for energies near and below barrier tops, the quantum tunneling across barriers is taken into account and consequently the oscillations are weakened. For energies far away from the barrier tops, the new formula agrees with the standard closed-orbit theory. We demonstrate that a potential barrier of various width and location can be realized by placing a negative ion near a metal surface and applying an electric field pointing to the surface. The width and location of the barrier can be systematically changed by varying the electric field strength and the distance between the negative ion and the surface. Results are also presented for estimating the sizes and locations of aforementioned quantum effects in the cross sections