7,888 research outputs found

    Relaxation of isolated quantum systems beyond chaos

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    In classical statistical mechanics there is a clear correlation between relaxation to equilibrium and chaos. In contrast, for isolated quantum systems this relation is -- to say the least -- fuzzy. In this work we try to unveil the intricate relation between the relaxation process and the transition from integrability to chaos. We study the approach to equilibrium in two different many body quantum systems that can be parametrically tuned from regular to chaotic. We show that a universal relation between relaxation and delocalization of the initial state in the perturbed basis can be established regardless of the chaotic nature of system.Comment: 4+ pages, 4 figs. Closest to published versio

    Multifractality of quantum wave packets

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    We study a version of the mathematical Ruijsenaars-Schneider model, and reinterpret it physically in order to describe the spreading with time of quantum wave packets in a system where multifractality can be tuned by varying a parameter. We compare different methods to measure the multifractality of wave packets, and identify the best one. We find the multifractality to decrease with time until it reaches an asymptotic limit, different from the mulifractality of eigenvectors, but related to it, as is the rate of the decrease. Our results could guide the study of experimental situations where multifractality is present in quantum systems.Comment: 6 pages, 4 figures, final version including a new figure (figure 1

    Lyapunov decay in quantum irreversibility

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    The Loschmidt echo -- also known as fidelity -- is a very useful tool to study irreversibility in quantum mechanics due to perturbations or imperfections. Many different regimes, as a function of time and strength of the perturbation, have been identified. For chaotic systems, there is a range of perturbation strengths where the decay of the Loschmidt echo is perturbation independent, and given by the classical Lyapunov exponent. But observation of the Lyapunov decay depends strongly on the type of initial state upon which an average is done. This dependence can be removed by averaging the fidelity over the Haar measure, and the Lyapunov regime is recovered, as it was shown for quantum maps. In this work we introduce an analogous quantity for systems with infinite dimensional Hilbert space, in particular the quantum stadium billiard, and we show clearly the universality of the Lyapunov regime.Comment: 8 pages, 6 figures. Accepted in Phil. Trans. R. Soc.

    Translation Factors Specify Cellular Metabolic State

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    In this issue of Cell Reports\small \textit{Cell Reports}, Shah et al. present evidence that a subcomplex of the eIF3 translation initiation factor regulates translation of mRNAs encoding components of the mitochondrial electron transport chain and glycolytic enzymes, thus linking translational control with energy metabolism

    In Pursuit of the Ed.D.: A Study of East Tennessee State University\u27s Doctors of Education: Who They are and Why They Persisted.

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    According to Kerlin (1995a), first-generation students are not expected to survive to doctorate degree attainment because of vulnerability to negative affects associated with their status; yet persist they do at East Tennessee State University. The desire to study the first-generation East Tennessee State University\u27s Doctors of Education and the limited number of first-generation graduate studies available, especially in the academic field of education, promoted developing this study. It was the intent of this study to offer additional empirical research toward understanding variables associated with first-generation persistence as encountered by East Tennessee State University\u27s Doctors of education. Quantitative analysis derived through survey research served as an explanatory framework to investigate major variables of first-generation persistence. The survey targeted East Tennessee State University\u27s Doctors of Education who received degrees prior to June 2004. Investigation of empirical evidence revealed that unlike previous first-generation studies (Hayes, 1997; Hurley, 2002; Inman and Mayes, 1999; Khanh, 2002; NCES, 1998; Terenzini, Springer, Yaeger, Pascarella, and Nora, 1996) the bulk (73.7%) of East Tennessee State University Doctors of Education were first-generation. Moreover, although previous studies suggested the presence of unique barriers attributed to first-generation status, no significant differences resulted in either identification or ranking of barriers or facilitators to degree attainment between first-generation East Tennessee State University\u27s Doctors of Education and their non-first-generation counterparts. The Survey of ETSU Doctors of Education requested respondents prioritize identified barriers and facilitators. After plotting significant bivariate coordinate pairs among ranked barriers and facilitators, flat line (zero sloped) clusters depicted the presence of six weak monotone associations among variables. Facilitator rankings were associated with a respondent\u27s age, parental college attendance, and education specialist degree, while barrier rankings were associated with a respondent\u27s marital status at the time of degree attainment, secondary support source, and post doctorate employment

    The Mercosur and European Union relationship: an analysis on the incorporation of the Association Agreement in Mercosur

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    This article analyses the Mercosur–European Union Association Agreement (AA) from a non-European perspective. It covers the Mercosur normative system, more specifically the part that deals with the incorporation of international laws and treaties into the regional legal system. First, it seeks to explain the nuances behind the announcement made by the States Parties to the AA in June 2019, seeking to contextualise the time frame for the development of the negotiations and the subsequent signing of the AA. Next, two important aspects for the effectiveness of the agreement are analysed: the procedure for incorporating the rules adopted by Mercosur Members, with reference to the provisions currently in force and applicable to Mercosur Members as a result of the agreements signed by them; and the difficulties associated with the procedure. Finally, the pillars on which the negotiations were initially conducted are discussed, with special attention to political dialogue, trade and cooperation, and the sustainable development considerations that are present in the AA. By adopting a non-European perspective, this article presents the issues related to Mercosur’s internal normative system for the incorporation of international norms and regulations, that is, the agreement itself, and the procedure for its entry into force and possible obstacles to its implementation. It is concluded that, despite all the efforts made to finalise the negotiations, there is a clear and indisputable uncertainty regarding the effective application of the agreement
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