36 research outputs found

    Cubic Defects: Comparing the Eight-State-System with its Two-Level-Approximation

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    Substitutional defects in a cubic symmetry (such as a lithium defect in a KCl host crystal) can be modeled appropriately by an eight-state-system. Usually this tunneling degree of freedom is approximated by a two-level-system. We investigate the observable differences between the two models in three contexts. First we show that the two models predict different relations between the temperature dependence of specific heat and static susceptibility. Second we demonstrate that in the presence of external forces (pressure and electric field) the eight-state-system shows features that cannot be understood within the framework of the two-level-approximation. In this context we propose an experiment for measuring the parameter for tunneling along the face diagonal. Finally we discuss the differences between the models appearing for strongly coupled pairs. Geometric selection rules and particular forms of asymmetry lead to clear differences between the two models.Comment: 19 pages, Latex, submitted to J. of Phys., some small supplement

    Rotating wave approximation: systematic expansion and application to coupled spin pairs

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    We propose a new treatment of the dynamics of a periodically time-dependent Liouvillian by mapping it onto a time-independent problem and give a systematic expansion for its effective Liouvillian. In the case of a two-level system, the lowest order contribution is equivalent to the well-known rotating wave approximation. We extend the formalism to a pair of coupled two-level systems. For this pair, we find two Rabi frequencies and we can give parameter regimes where the leading order of the expansion is suppressed and higher orders become important. These results might help to investigate the interaction of tunneling systems in mixed crystals by providing a tool for the analysis of echo experiments.Comment: 15 pages, Latex, submitted to European Physical Journal

    Elastic response of [111]-tunneling impurities

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    We study the dynamic response of a [111] quantum impurity, such as lithium or cyanide in alkali halides, with respect to an external field coupling to the elastic quadrupole moment. Because of the particular level structure of a eight-state system on a cubic site, the elastic response function shows a biexponential relaxation feature and a van Vleck type contribution with a resonance frequency that is twice the tunnel frequency Δ/\Delta/\hbar. This basically differs from the dielectric response that does not show relaxation. Moreover, we show that the elastic response of a [111] impurity cannot be reduced to that of a two-level system. In the experimental part, we report on recent sound velocity and internal friction measurements on KCl doped with cyanide at various concentrations. At low doping (45 ppm) we find the dynamics of a single [111] impurity, whereas at higher concentrations (4700 ppm) the elastic response rather indicates strongly correlated defects. Our theoretical model provides a good description of the temperature dependence of δv/v\delta v/v and Q1Q^{-1} at low doping, in particular the relaxation peaks, the absolute values of the amplitude, and the resonant contributions. From our fits we obtain the value of the elastic deformation potential γt=0.192\gamma_t=0.192 eV.Comment: 19 pages, 5 figure

    Dynamical models for sand ripples beneath surface waves

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    We introduce order parameter models for describing the dynamics of sand ripple patterns under oscillatory flow. A crucial ingredient of these models is the mass transport between adjacent ripples, which we obtain from detailed numerical simulations for a range of ripple sizes. Using this mass transport function, our models predict the existence of a stable band of wavenumbers limited by secondary instabilities. Small ripples coarsen in our models and this process leads to a sharply selected final wavenumber, in agreement with experimental observations.Comment: 9 pages. Shortened version of previous submissio

    Elastic response of [111]-tunnelling impurities

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    Elastic response of [111]-tunnelling impurities

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    Regulation of mating-type information in yeast. Negative control requiring sequences both 5′ and 3′ to the regulated region

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    The genome of the yeast Saccharomyces cerevisiae contains three complete copies of the genetic information governing cell mating type. Normally, only the information in one of the copies (the MAT locus) is expressed; the other two copies (HML and HMR) are repressed and serve as donors of mating-type sequences that can be transposed to MAT in cells capable of switching mating type. We have mutagenized the silent HMR locus and have found that the repression of this locus requires two sites, one lying on each side of the matingtype sequences at HMR. The regulatory sites are positioned outside of the sequences that are included in the pair of divergent transcripts coded for by HMR, and lie about 1000 base-pairs to either side of the central promoter region of the locus. Deletion of one of the regulatory sites results phenotypically in complete loss of repression, whereas deletion of the other site gives only partial loss of control. Both of the sites are associated with an autonomous replication activity, though the relationship between this activity and the process of repression is unclear. © 1984

    Challenges of the Internet of Services

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    Extending Lifecycle of Legacy Systems – An Approach for SME to Enhance Their Supported Business Processes through a Service-Integration-System

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    Part 3: Service OrientationInternational audienceModern enterprises are supported by flexible and agile software systems and architectures to respond effectively and quickly to opportunities in a more competitive market. Even small and medium sized enterprises (SME) highly depend on appropriate software architectures to successfully participate in the growth of the economy. For this purpose they must be in a position to upgrade and enhance their ERP at low costs and with small manual efforts. A flexible middleware platform for the integration of future software systems is proposed as a solution to these challenges for innovation
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