Entanglement between collective operators in a linear harmonic chain

We investigate entanglement between collective operators of two blocks of oscillators in an infinite linear harmonic chain. These operators are defined as averages over local operators (individual oscillators) in the blocks. On the one hand, this approach of "physical blocks" meets realistic experimental conditions, where measurement apparatuses do not interact with single oscillators but rather with a whole bunch of them, i.e., where in contrast to usually studied "mathematical blocks" not every possible measurement is allowed. On the other, this formalism naturally allows the generalization to blocks which may consist of several noncontiguous regions. We quantify entanglement between the collective operators by a measure based on the Peres-Horodecki criterion and show how it can be extracted and transferred to two qubits. Entanglement between two blocks is found even in the case where none of the oscillators from one block is entangled with an oscillator from the other, showing genuine bipartite entanglement between collective operators. Allowing the blocks to consist of a periodic sequence of subblocks, we verify that entanglement scales at most with the total boundary region. We also apply the approach of collective operators to scalar quantum field theory.

Hydrogen bonding and collective proton modes in clusters and periodic layers of squaric acid: A density functional study

Hydrogen bonding in clusters and extended layers of squaric acid molecules has been investigated by density functional computations. Equilibrium geometries, harmonic vibrational frequencies, and energy barriers for proton transfer along hydrogen bonds have been determined using the Car-Parrinello method. The results provide crucial parameters for a first principles modeling of the potential energy surface, and highlight the role of collective modes in the low-energy proton dynamics. The importance of quantum effects in condensed squaric acid systems has been investigated, and shown to be negligible for the lowest-energy collective proton modes. This information provides a quantitative basis for improved atomistic models of the order-disorder and displacive transitions undergone by squaric acid crystals as a function of temperature and pressure. (C) 2001 American Institute of Physics.

Ultrafast Probing of Collective Electron Dynamics Driven by Dielectronic Repulsion

We use the time-dependent R-matrix approach to investigate an ultrashort pump-probe scheme to observe collective electron dynamics in C(+). The ionization probability of a coherent superposition of the 2s2p(2) (2)D and (2)S states shows rapid modulation due to collective dynamics of the two equivalent 2p electrons, with the modulation frequency linked to the dielectronic repulsion. The best insight into this collective dynamics is achieved by a transformation from LS symmetry to the uncoupled basis. Such dynamics may be important in high-harmonic generation using open-shell atoms and ions.

'Truth, Ethics and Efficacy in the Training of Actors for Role Play'

Krysia M. Yardley-Matwiejczuk has addressed the clinical and psychological implications of role-play (Role Play: Theory and Practice, Sage Publications, 1997) and Judith Ackroyd has thoroughly reassessed the place of roleplay in education (Role Reconsidered, Trentham Books, 2004). But there has been no systematic analysis of the implications for actor training of this growing area of employment. This paper interrogates some of the implications of role-play for actor trainers, particularly in relation to the need for a clear ethical framework governing spontaneous performance in non-theatrical environments. The paper also suggests guidelines on ‘distancing’ and ‘presencing’ techniques to equip actors to cope with the unpredictability of role play-based performance.

The ‘Us’ in Trust: Who Trusts Northern Ireland’s Political Institutions and Actors?

This article examines levels of interest and trust among the public in relation to Northern Ireland's newly established political institutions and actors, through an analysis of the results of the 2007 Northern Ireland Life and Times Survey (NILT). It is important to reveal the specific groups of people with the highest levels of political disenchantment, particularly in the context of the longer-term stability of the Northern Ireland Assembly and Executive, since the willingness of the electorate to have faith and trust in the workability of these political institutions and in the various political actors in whose custody they lie is considered vital.

Collective excitations of trapped Bose-Einstein condensates in the energy and time domains

A time-dependent method for calculating the collective excitation frequencies and densities of a trapped, inhomogeneous Bose-Einstein condensate with circulation is presented. The results are compared with time-independent solutions of the Bogoliubov-de Gennes equations. The method is based on time-dependent linear-response theory combined with spectral analysis of moments of the excitation modes of interest. The technique is straightforward to apply, extremely efficient in our implementation with parallel fast Fourier transform methods, and produces highly accurate results. For high dimensionality or low symmetry the time-dependent approach is a more practical computational scheme and produces accurate and reliable data. The method is suitable for general trap geometries, condensate flows and condensates permeated with defects and vortex structures.