Quantum interference and evolution of entanglement in a system of three-level atoms

We consider a pair of three-level atoms interacting with the vacuum. The process of disentanglement due to spontaneous emission and the role of quantum interference between principal transitions in this process, are analysed. We show that the presence of interference can slow down disentanglement. In the limit of maximal interference, some part of initial entanglement can survive.Comment: 6 pages, 8 figure

Introduction to Schola Viuida

An overview of Professor Jacqueline Carlon’s scholarship and career, in the context of a brief historical overview of the “Communicative” or “Active Latin” movement

Delayed birth of distillable entanglement in the evolution of bound entangled states

The dynamical creation of entanglement between three-level atoms coupled to the common vacuum is investigated. For the class of bound entangled initial states we show that the dynamics of closely separated atoms generates stationary distillable entanglement of asymptotic states. We also find that the effect of delayed sudden birth of distillable entanglement occurs in the case of atoms separated by a distance comparable with the radiation wavelength.Comment: published versio

Putting on a Fronto: Persona and Patterns of Language in Fronto’s Correspondence

The subject of this chapter is the language of letters exchanged between Fronto and correspondents, specifically those linguistic means by which Fronto and his epistolary correspondents construct a persona and maintain and negotiate relationships. Analysis of the frequency of (Latin to Greek) code-switches, the diversity, or range of unique, address-terms, letter openings and closings used, and the type and frequency of requests show how Fronto’s relationship with Marcus Aurelius changes over time; and offer us one way to measure differences in Fronto’s epistolary relationship with the other correspondents

Vacuum - induced stationary entanglement in radiatively coupled three - level atoms

We consider a pair of three - level atoms interacting with a common vacuum and analyze the process of entanglement production due to spontaneous emission. We show that in the case of closely separated atoms, collective damping can generate robust entanglement of the asymptotic states.Comment: published versio

Asymptotics of large eigenvalues for a class of band matrices

We investigate the asymptotic behaviour of large eigenvalues for a class of finite difference self-adjoint operators with compact resolvent in $l^2$

Chiral Symmetry Breaking in Bent-Core Liquid Crystals

By molecular modeling we demonstrate that the nematic long-range order discovered in bent-core liquid crystal systems should reveal further spatially homogeneous phases. Two of them are identified as a tetrahedratic nematic ($N_T$) phase with $D_{2d}$ symmetry and a chiral tetrahedratic nematic ($N_T^*$) phase with $D_2$ symmetry. These new phases were found for a lattice model with quadrupolar and octupolar anisotropic interactions using Mean Field theory and Monte Carlo simulations. The phase diagrams exhibit tetrahedratic ($T$), $N_T$ and $N_T^*$ phases, in addition to ordinary isotropic ($I$), uniaxial nematic ($N_U$) and biaxial nematic ($N_B$) phases. To our knowledge, this is the first molecular model with spontaneous chiral symmetry breaking in non-layered systems.Comment: 12 pages, 4 figures, submitted for publicatio

Moment-Curvature Analysis of Coupled Bending and Mechanosorptive Response of Red Spruce Beams

In this study, an expanded comprehensive numerical approach to predict hygromechanical behavior of beams is proposed that rigorously couples spatially varying time-dependent moisture content fluctuation with uniaxial stress-strain relations. The constitutive model, consisting of elastic, viscoelastic, and two mechanosorptive strain elements connected in series, was used in a layered moment-curvature flexural analysis. The procedure is numerical and is able to take into account effect of moisture content changes, different mechanosorptive behavior in tension and compression, and cross-sectional hygroexpansion. The overall trend and magnitude of predicted deflections are in good agreement with experimental results. Results demonstrated that complex beam behavior in a varying environment can be predicted by a simple model with well-defined material characteristics generated through relatively simple 18-h uniaxial experiments

Landau-deGennes Theory of Biaxial Nematics Re-examined

Recent experiments report that the long looked for thermotropic biaxial nematic phase has been finally detected in some thermotropic liquid crystalline systems. Inspired by these experimental observations we concentrate on some elementary theoretical issues concerned with the classical sixth-order Landau-deGennes free energy expansion in terms of the symmetric and traceless tensor order parameter $Q_{\alpha\beta}$. In particular, we fully explore the stability of the biaxial nematic phase giving analytical solutions for all distinct classes of the phase diagrams that theory allows. This includes diagrams with triple- and (tri-)critical points and with multiple (reentrant) biaxial- and uniaxial phase transitions. A brief comparison with predictions of existing molecular theories is also given.Comment: 12 pages, 14 figure

Roundoff-induced Coalescence of Chaotic Trajectories

Numerical experiments recently discussed in the literature show that identical nonlinear chaotic systems linked by a common noise term (or signal) may synchronize after a finite time. We study the process of synchronization as function of precision of calculations. Two generic behaviors of the average coalescence time are identified: exponential or linear. In both cases no synchronization occurs if iterations are done with {\em infinite} precision.Comment: 6 pages, 3 postscript figures, to be published in Phys. Rev.