Non-Universal Finite Size Effects with Universal Infinite-Size Free Energy for the α\alpha-XY model

We study finite size effects in a family of systems in which a parameter controls interaction-range. In the long-range regime where the infinite-size free energy is universal, we show that the finite size effects are not universal but depend on the interaction-range. The finite size effects are observed through discrepancies between time-averages of macroscopic variables in Hamiltonian dynamics and canonical averages of ones with infinite degrees of freedom. For a high energy regime, the relation to a pair of the discrepancies is theoretically predicted and numerically confirmed. We also numerically show that the finite-size effects of macroscopic variables in the canonical ensemble are close to ones in the dynamical systems.Comment: Proceedings of the workshop Comlexty and Nonextensivity - New Trends in Statistical Mechancs - (CN-Kyoto

Dimerized ground states in spin-S frustrated systems

We study a family of frustrated anti-ferromagnetic spin-$S$ systems with a fully dimerized ground state. This state can be exactly obtained without the need to include any additional three-body interaction in the model. The simplest members of the family can be used as a building block to generate more complex geometries like spin tubes with a fully dimerized ground state. After present some numerical results about the phase diagram of these systems, we show that the ground state is robust against the inclusion of weak disorder in the couplings as well as several kinds of perturbations, allowing to study some other interesting models as a perturbative expansion of the exact one. A discussion on how to determine the dimerization region in terms of quantum information estimators is also presented. Finally, we explore the relation of these results with a the case of the a 4-leg spin tube which recently was proposed as the model for the description of the compound Cu$_2$Cl$_4$D$_8$C$_4$SO$_2$, delimiting the region of the parameter space where this model presents dimerization in its ground state.Comment: 10 pages, 9 figure

A broader perspective on point of view: logophoricity in Ogonoid languages

Logophoric marking in the Ogonoid family (Benue-Congo, Niger-Congo) differs significantly from most other logophoric reference systems in that these languages employ distinct verbal suffixes in logophoric domains, in addition to regular participant reference marking. This contrasts other known logophoric reference systems, which typically exhibit two sets of mutually exclusive pronouns, one logophoric and one non-logophoric. It has been commonly held in the literature that the function of logophoric pronouns is not to disambiguate coreference of clausal arguments, but to indicate the expression of a point of view distinct from that articulated using non-logophoric personal pronouns. In this paper, the properties of logophoric reference in Gokana (Hyman and Comrie 1981) and Kana (Ikoro 1996) are introduced before discussing new data from Eleme. Evidence is presented that point of view does not play a role in the use of logophoric marking in Eleme. Rather, it is argued that the logophoric trigger is determined by the interaction of person, number and grammatical relation hierarchies allowing for the development of a unique and comparably pervasive system of coreference

Laboratory Transferability of Optimally Shaped Laser Pulses for Quantum Control

Optimal control experiments can readily identify effective shaped laser pulses, or "photonic reagents", that achieve a wide variety of objectives. For many practical applications, an important criterion is that a particular photonic reagent prescription still produce a good, if not optimal, target objective yield when transferred to a different system or laboratory, {even if the same shaped pulse profile cannot be reproduced exactly. As a specific example, we assess the potential for transferring optimal photonic reagents for the objective of optimizing a ratio of photoproduct ions from a family of halomethanes through three related experiments.} First, applying the same set of photonic reagents with systematically varying second- and third-order chirp on both laser systems generated similar shapes of the associated control landscape (i.e., relation between the objective yield and the variables describing the photonic reagents). Second, optimal photonic reagents obtained from the first laser system were found to still produce near optimal yields on the second laser system. Third, transferring a collection of photonic reagents optimized on the first laser system to the second laser system reproduced systematic trends in photoproduct yields upon interaction with the homologous chemical family. Despite inherent differences between the two systems, successful and robust transfer of photonic reagents is demonstrated in the above three circumstances. The ability to transfer photonic reagents from one laser system to another is analogous to well-established utilitarian operating procedures with traditional chemical reagents. The practical implications of the present results for experimental quantum control are discussed

The effect of radiative gravitational modes on the dynamics of a cylindrical shell of counter rotating particles

In this paper we consider some aspects of the relativistic dynamics of a cylindrical shell of counter rotating particles. In some sense these are the simplest systems with a physically acceptable matter content that display in a well defined sense an interaction with the radiative modes of the gravitational field. These systems have been analyzed previously, but in most cases resorting to approximations, or considering a particular form for the initial value data. Here we show that there exists a family of solutions where the space time inside the shell is flat and the equation of motion of the shell decouples completely from the gravitational modes. The motion of the shell is governed by an equation of the same form as that of a particle in a time independent one dimensional potential. We find that under appropriate initial conditions one can have collapsing, bounded periodic, and unbounded motions. We analyze and solve also the linearized equations that describe the dynamics of the system near a stable static solutions, keeping a regular interior. The surprising result here is that the motion of the shell is completely determined by the configuration of the radiative modes of the gravitational field. In particular, there are oscillating solutions for any chosen period, in contrast with the "approximately Newtonian plus small radiative corrections" motion expectation. We comment on the physical meaning of these results and provide some explicit examples. We also discuss the relation of our results to the initial value problem for the linearized dynamics of the shell

Correlated Fractional Dirac Materials

Fractional Dirac materials (FDMs) feature a fractional energy-momentum relation $E(\vec{k}) \sim |\vec{k}|^{\alpha}$, where $\alpha \; (<1)$ is a noninteger number, in contrast to the situation in conventional Dirac materials with $\alpha=1$. Here we compute the effects of both short-range and long-range repulsive Coulomb interactions in two- and three-dimensional FDMs. Generic but sufficiently weak short-range interaction is an irrelevant perturbation in $d$-dimensional FDMs, and nucleation of a correlated insulator takes place through a quantum critical point. The universality class of the associated quantum phase transition is determined by the correlation length exponent $\nu^{-1}=d-\alpha$ and dynamic scaling exponent $z=\alpha$, starkly distinct from its counterpart in conventional Dirac systems. On the other hand, the fractional dispersion is protected against long-range interaction due to its nonanalytic structure. Rather a linear Dirac dispersion gets generated under coarse graining and the associated Fermi velocity increases logarithmically in the infrared regime. Altogether, the family of correlated FDMs unfolds a new landscape, accommodating unconventional emergent many-body phenomena.Comment: 5 Pages, 3 Figure

The Relationship between Family Functioning and Adolescent Substance Use

This study utilized an explanatory correlational design to examine the relationship which exists between the predictor variables of adolescent\u27s perception of family adaptation, cohesion, and communication, parental use of substances, adolescent age and gender and the criterion variables of adolescent behavioral intention and self-reported use of alcohol, tobacco, and illicit drugs. The theoretical perspectives of the study, derived from developmental theory and the Circumplex Model of Marital and Family Systems viewed the adolescent stage as a period in which the entire family is challenged to balance levels of adaptation and cohesion in order to facilitate individuation and autonomy of adolescent members. Use of controlled substances by adolescents are considered behaviors which may be influenced by patterns of interaction within the family system. The sample consisted of 306 male and female high school students. Following consent from the student and at least one parent the adolescent was asked to complete four paper and pencil questionnaires. These questionnaires included the Demographic Survey; the Primary Prevention Awareness, Attitude and Usage Scale; the FACES III; and the Parent-Adolescent Communication Scale. Utilizing measures of central tendency and canonical correlation, the data analysis statistically addressed the relationships between the two variables sets. The findings indicated that balanced levels of family functioning and low usage of substances by parents has a strong relationship with decreased substance use by adolescents. Conversely, non-balanced families and those in which parents use substances more often, are families in which the adolescents are more likely to use substances. Age and gender had no significant relation to adolescent substance use or levels of family functioning. Family adaptation, cohesion and communication, and parental role modeling are variables that appear to have a significant impact upon the decisions adolescents make concerning use of alcohol, tobacco products and illicit drugs