Path-integral study of a two-dimensional Lennard-Jones glass

The glass transition in a quantum Lennard-Jones mixture is investigated by constant-volume path-integral simulations. Particles are assumed to be distinguishable, and the strength of quantum effects is varied by changing h from zero (the classical case) to one (corresponding to a highly quantum-mechanical regime). Quantum delocalization and zero point energy drastically reduce the sensitivity of structural and thermodynamic properties to the glass transition. Nevertheless, the glass transition temperature T-g can be determined by analyzing the phase space mobility of path-integral centroids. At constant volume, the T-g of the simulated model increases monotonically with increasing h. Low temperature tunneling centers are identified, and the quantum versus thermal character of each center is analyzed. The relation between these centers and soft quasilocalized harmonic vibrations is investigated. Periodic minimizations of the potential energy with respect to the positions of the particles are performed to determine the inherent structure of classical and quantum glassy samples. The geometries corresponding to these energy minima are found to be qualitatively similar in all cases. Systematic comparisons for ordered and disordered structures, harmonic and anharmonic dynamics, classical and quantum systems show that disorder, anharmonicity, and quantum effects are closely interlinked.

New results on a classical operator

It is remarkable how the classical Volterra integral operator, which was one of the first operators which attracted mathematicians' attention, is still worth of being studied. In this essentially survey work, by collecting some of the very recent results related to the Volterra operator, we show that there are new (and not so new) concepts that are becoming known only at the present days. Discovering whether the Volterra operator satisfies or not a given operator property leads to new methods and ideas that are useful in the setting of Concrete Operator Theory as well as the one of General Operator Theory. In particular, a wide variety of techniques like summability kernels, theory of entire functions, Gaussian cylindrical measures, approximation theory, Laguerre and Legendre polynomials are needed to analyze different properties of the Volterra operator. We also include a characterization of the commutator of the Volterra operator acting on L-P[0, 1], 1

Monte Carlo studies of quantum and classical annealing on a double well

We present results for a variety of Monte Carlo annealing approaches, both classical and quantum, benchmarked against one another for the textbook optimization exercise of a simple one-dimensional double well. In classical (thermal) annealing, the dependence upon the move chosen in a Metropolis scheme is studied and correlated with the spectrum of the associated Markov transition matrix. In quantum annealing, the path integral Monte Carlo approach is found to yield nontrivial sampling difficulties associated with the tunneling between the two wells. The choice of fictitious quantum kinetic energy is also addressed. We find that a "relativistic" kinetic energy form, leading to a higher probability of long real-space jumps, can be considerably more effective than the standard nonrelativistic one.

Classical Romantic: Identity in the Latin Poetry of Vincent Bourne

This monograph examines a selection of Vincent Bourne's Latin verse in its classical, neo-Latin and vernacular contexts, with particular attention to the theme of identity (and differing forms of identity). Its aim is to initiate the resurrection from silence of an author whose self-fashioning is achieved by investigating the identity of the self in relation to the other and by foregrounding multiple attempts to fashion other selves.

From Back Cover of published book:

Through close and perceptive analysis of Bourne's negotiation of poetic identity, Haan argues in new ways for the blend of classicism and Romanticism informing his marginalized status. As such, the book promises to revive scholarship on Bourne, and to be of use to students and scholars of Latin as well as vernacular verse.
Carla Mazzio, Professor of English, University of Chicago.


Estelle Haan is the UK's most eminent neo-Latinist. Her books with the APS on Milton (From Academia to Amicitia, Transactions 88, part 6) and Addison (Vergilius Redivivus, Transactions 95, part 2) are both important contributions to our knowledge of those authors, and their scholarship is presented in a way that accommodates the growing number of specialists who do not read Latin. Much of the content of this study is entirely new, and it is written in a way that will make it accessible to non-Latinists. The connections with English-language poets that Professor Haan adduces page after page will be a very considerable resource for students of vernacular poetry.
Gordon Campbell, Professor of Renaissance Literature, University of Leicester.


I have long thought that a modern study of Vincent Bourne was very much needed, and am greatly pleased that one has now been written. Estelle Haan offers a thoughtful and sensitive study that has remarkable depth. She capitalizes on the familiarity with other eighteenth-century English poets about whom she has previously written (Cowper, Gray, and most recently Addison) and she makes use of contempoary literary theory without becoming dependent on any single approach or disfiguring her writing with critical jargon. This work will, one hopes, provoke further research into Bourne and his poetry.
Dana F. Sutton, Professor Emeritus of Classics, The University of California, Irvine.

Simulation of quantum random walks using the interference of a classical field

We suggest a theoretical scheme for the simulation of quantum random walks on a line using beam splitters, phase shifters, and photodetectors. Our model enables us to simulate a quantum random walk using of the wave nature of classical light fields. Furthermore, the proposed setup allows the analysis of the effects of decoherence. The transition from a pure mean-photon-number distribution to a classical one is studied varying the decoherence parameters.