Structural Defects in Ion Chains by Quenching the External Potential: The Inhomogeneous Kibble-Zurek Mechanism

The nonequilibrium dynamics of an ion chain in a highly anisotropic trap is studied when the transverse trap frequency is quenched across the value at which the chain undergoes a continuous phase transition from a linear to a zigzag structure. Within Landau theory, an equation for the order parameter, corresponding to the transverse size of the zigzag structure, is determined when the vibrational motion is damped via laser cooling. The number of structural defects produced during a linear quench of the transverse trapping frequency is predicted and verified numerically. It is shown to obey the scaling predicted by the Kibble-Zurek mechanism, when extended to take into account the spatial inhomogeneities of the ion chain in a linear Paul trap.

Cloning transformations in spin networks without external control

In this paper we present an approach to quantum cloning with unmodulated spin networks. The cloner is realized by a proper design of the network and a choice of the coupling between the qubits. We show that in the case of phase covariant cloner the XY coupling gives the best results. In the 1 -> 2 cloning we find that the value for the fidelity of the optimal cloner is achieved, and values comparable to the optimal ones in the general N -> M case can be attained. If a suitable set of network symmetries are satisfied, the output fidelity of the clones does not depend on the specific choice of the graph. We show that spin network cloning is robust against the presence of static imperfections. Moreover, in the presence of noise, it outperforms the conventional approach. In this case the fidelity exceeds the corresponding value obtained by quantum gates even for a very small amount of noise. Furthermore, we show how to use this method to clone qutrits and qudits. By means of the Heisenberg coupling it is also possible to implement the universal cloner although in this case the fidelity is 10% off that of the optimal cloner.

Geographical Influences on Long-Run Development

We show that geographical factors influence long-run per capita income directly, as well as indirectly, through the quality of institutions. The direct influence of geography on per capita incomes is robust to the inclusion of a sub-Saharan Africa dummy and other tests. We obtain our results by replacing the usual instrument (settlers’ mortality (SM)) by stronger instruments for institutional quality (latitude, the share of the country in the temperate climatic zone). We also provide evidence that SM suffers from endogeneity with respect to institutional quality for early colonies, because of its dependence on nineteenth-century mortality data.

Effects of external axial magnetic field on fast electron propagation

A scheme employing an external axial magnetic field is proposed to diagnose the intrinsic divergence of laser-generated fast electron beams, and this is studied numerically with hybrid simulations. The maximum beam radius of fast electrons increases with the initial divergence and decreases with the amplitude of the axial magnetic field. It is indicated that the intrinsic divergence of fast electrons can be inferred from measurements of the beam radius at different depth under the axial field. The proposed scheme here may be useful for future fast ignition experiments and in other applications of laser-generated fast electron beams. (C) 2011 American Institute of Physics. [doi:10.1063/1.3630925]

Connected Life Courses:Influences on and Experiences of 'Midlife' In-Migration to Rural Areas

This paper aims to contribute to the theorisation of midlife migration into rural areas. Although the factors influencing migration are known to be variable at different stages of a person's life, much less well understood is how migration decisions at different stages of the life course are connected and how post-migration experiences may be influenced by an earlier life course stage. We argue that midlife migration decisions are the product of the migrant's lifetime experiences and influences up until that stage in their life alongside their expectations and aspirations for future life course stages. Using a case study of the Glens of Antrim (Northern Ireland), this paper specifically demonstrates the role of childhood memories to explain midlife migration to a rural area. In doing so, it argues that some findings more commonly associated with second-generation transnational migration are also equally relevant to migration within the UK. Roots migration and place attachment alongside the midlife migrant's post-migration sense of belonging and permanency are found to be influenced by the migrant's earlier memories, behaviours, and experiences.