Decay rates of planar helium; Schlagheck, Peter ; et alin Europhysics Letters [=EPL] (2005), 70(2), 183-189 We compare the autoionization rates of characteristic configurations of the doubly excited helium atom, in one, two and three dimensions. We find that the decay rates of the two-dimensional restriction ... [more ▼] We compare the autoionization rates of characteristic configurations of the doubly excited helium atom, in one, two and three dimensions. We find that the decay rates of the two-dimensional restriction are in quantitative agreement with those of the real physical system, whilst the one-dimensional model can underestimate the actual decay rates by orders of magnitude. [less ▲] Detailed reference viewed: 8 (1 ULg) Nondispersive two-electron wave packets in driven heliumSchlagheck, Peter ; in European Physical Journal D -- Atoms, Molecules, Clusters & Optical Physics (2003), 22(3), 401-415 We provide a detailed quantum treatment of the spectral characteristics and of the dynamics of nondispersive two-electron wave packets along the periodically driven, collinear frozen planet configuration ... [more ▼] We provide a detailed quantum treatment of the spectral characteristics and of the dynamics of nondispersive two-electron wave packets along the periodically driven, collinear frozen planet configuration of helium. These highly correlated, long-lived wave packets arise as a quantum manifestation of regular islands in a mixed classical phase space, which are induced by nonlinear resonances between the external driving and the unperturbed dynamics of the frozen-planet configuration. Particular emphasis is given to the dependence of the ionization rates of the wave packet states on the driving field parameters and on the quantum mechanical phase space resolution, preceded by a comparison of 1D and 3D life times of the unperturbed frozen planet. Furthermore, we study the effect of a superimposed static electric field component, which, on the grounds of classical considerations, is expected to stabilize the real 3D dynamics against large (and possibly ionizing) deviations from collinearity. [less ▲] Detailed reference viewed: 3 (2 ULg) Algebraic decay of the survival probability in chaotic heliumSchlagheck, Peter ; in Physical Review. A (2001), 63(2), 024701 We demonstrate that the classical helium atom exhibits algebraic decay of the survival probability in the autoionizing eZe configuration. Excitation towards asymptotic orbits of marginal stability is ... [more ▼] We demonstrate that the classical helium atom exhibits algebraic decay of the survival probability in the autoionizing eZe configuration. Excitation towards asymptotic orbits of marginal stability is identified as the cause of the nonexponential decay. Since one electron travels along a bound Kepler trajectory of infinite excitation in these orbits, we argue that the classical decay law will prevail in the quantum dynamics of a wave packet launched along the eZe configuration. [less ▲] Detailed reference viewed: 3 (0 ULg) Stable classical configurations in strongly driven heliumSchlagheck, Peter ; in Physica D: Nonlinear Phenomena (1999), 131(1-4), 110-124 We present a detailed analysis of the classical dynamics of the frozen-planet configuration of helium in an external, linearly polarized electromagnetic field. It is shown that the phase space of the ... [more ▼] We present a detailed analysis of the classical dynamics of the frozen-planet configuration of helium in an external, linearly polarized electromagnetic field. It is shown that the phase space of the collinear frozen planet in the held is mixed regular-chaotic and exhibits regular islands corresponding to nonlinear resonances between the periodic external force and the frozen-planet dynamics. An analysis of the transverse stability properties of the configuration shows that - except for regular regions corresponding to high-order atom-field resonances - the configuration is generally unstable with respect to deviations from collinearity. We find that stability of the driven frozen planet in all phase space dimensions can be enforced by the application of an additional, static electric field. The minimum atomic excitation necessary fur the localization of a quantum state on the thereby stabilized atom-field resonances is estimated. (C) 1999 Elsevier Science B.V. All rights reserved. [less ▲] Detailed reference viewed: 3 (2 ULg) Nondispersive two-electron wave packets in the collinear driven helium atomSchlagheck, Peter ; in Europhysics Letters [=EPL] (1999), 46(1), 24-30 Nondispersive two-electron wave packets are found in the Floquet spectrum of the driven, one-dimensional helium atom. In classical phase space, they are anchored to the principal nonlinear resonance ... [more ▼] Nondispersive two-electron wave packets are found in the Floquet spectrum of the driven, one-dimensional helium atom. In classical phase space, they are anchored to the principal nonlinear resonance between the collinear frozen planet orbit and the driving field linearly polarized along the orbit. These novel, highly correlated eigenstates of the driven three-body Coulomb problem, exhibit lifetimes of the order of 10(3)...10(7) periods of the driving field, with strong fluctuations reminiscent of chaos-assisted tunneling. [less ▲] Detailed reference viewed: 1 (0 ULg) Comment on "physical reality of light-induced atomic states"Schlagheck, Peter ; ; in Physical Review Letters (1999), 82(3), 664-664 Detailed reference viewed: 9 (0 ULg) Classical support for non-dispersive two electron wave packets in the driven helium atomSchlagheck, Peter ; in Journal of Physics : B Atomic Molecular & Optical Physics (1998), 31(11), 489-495 We present numerical evidence for the existence of a classically non-ionizing, highly correlated two-electron configuration which emerges from the frozen planet configuration of helium exposed to an ... [more ▼] We present numerical evidence for the existence of a classically non-ionizing, highly correlated two-electron configuration which emerges from the frozen planet configuration of helium exposed to an electromagnetic field of linear polarization. A static electric field parallel to the polarization axis prevents this configuration from transverse ionization. We argue that the corresponding nonlinear resonance island in 12D phase space supports nondispersive wave packets of the helium atom in combined oscillating and static electric fields. [less ▲] Detailed reference viewed: 3 (0 ULg) |
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