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  • 1.
    Hashemloo, Avazeh
    et al.
    Umeå University, Faculty of Science and Technology, Department of Physics.
    Dion, Claude
    Umeå University, Faculty of Science and Technology, Department of Physics.
    Rahali, Ghosne
    Umeå University, Faculty of Science and Technology, Department of Physics. Jazan Univ, Dept Phys, Jazan, Saudi Arabia.
    Wave packet dynamics of an atomic ion in a Paul trap: Approximations and stability2016In: International Journal of Modern Physics C, ISSN 0129-1831, Vol. 27, no 2, article id 1650014Article in journal (Refereed)
    Abstract [en]

    Using numerical simulations of the time-dependent Schrödinger equation, we study the fullquantum dynamics of the motion of an atomic ion in a linear Paul trap. Such a trap is based on atime-varying, periodic electric ̄eld and hence corresponds to a time-dependent potential for theion, which we model exactly. We compare the center-of-mass motion with that obtained fromclassical equations of motion, as well as to results based on a time-independent e®ective po-tential. We also study the oscillations of the width of the ion's wave packet, including close tothe border between stable (bounded) and unstable (unbounded) trajectories. Our results con- ̄rm that the center-of-mass motion always follows the classical trajectory, that the width of thewave packet is bounded for trapping within the stability region, and therefore that the classicaltrapping criterion is fully applicable to quantum motion.

  • 2. Wang, Sheng-Jun
    et al.
    Wu, Zhi-Xi
    Umeå University, Faculty of Science and Technology, Department of Physics.
    Dong, Hai-Rong
    Chen, Guanrong
    Enhancing the synchronizability of scale-free networks by adding edges2010In: International Journal of Modern Physics C, ISSN 0129-1831, Vol. 21, no 1, p. 67-77Article in journal (Refereed)
    Abstract [en]

    To efficiently enhance the synchronizability of a scale-free network by adding some edges, we numerically study the effect of edge-adding on the spectrum of the network Laplacian matrix. Based on the relation between the largest eigenvalue of the Laplacian matrix and the largest degree of the scale-free network, we show that adding a new edge to the node of largest degree will generally weaken the synchronizability of a scale-free network. We consequently propose a method to effectively enhance the network synchronizability by attaching the new edge to a node whose nearest-neighbors have small degrees. The effect of the new method is analyzed and demonstrated with comparisons.

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