Magnetic flux locking in two weakly coupled superconducting rings

We have analyzed the quantum interference effects in the macroscopic ''superconducting molecule''. The composite system consists of two massive superconducting rings, each interrupted by a Josephson junction, which are at the same time weakly coupled with one another. The special case of coupling via the Josephson four-terminal junction is considered. The structure of the macroscopic quantum states in an applied magnetic field is calculated. It is shown, that depending on the values of the magnetic fluxes through each ring, the system displays two groups of states, the ''orthostates'' with both induced currents going in the same direction, and the ''parastates'' with the opposite currents and with the total induced flux locked to zero value. The transition to the flux locked state with changing of the total applied flux is sudden and is preserved in a certain interval which is determined by the difference of the fluxes applied through each ring. It makes the system sensitive to small gradients of the external magnetic field.Comment: 8 pages in Latex, 3 figures (eps

Coherent current states in mesoscopic four-terminal Josephson junction

A theory is offered for the ballistic 4-terminal Josephson junction. The studied system consists of a mesoscopic two-dimensional normal rectangular layer which is attached in each side to the bulk superconducting banks (terminals). The relation between the currents through the different terminals, which is valid for arbitrary temperatures and junction sizes, is obtained. The nonlocal coupling of the supercurrents leads to a new effect, specific for the mesoscopic weak link between two superconducting rings; an applied magnetic flux through one of the rings produces a magnetic flux in the other ring even in the absence of an external flux through the other one. The phase dependent distributions of the local density of Andreev states, of the supercurrents and of the induced order parameter are obtained. The "interference pattern" for the anomalous average inside the two dimensional region can be regulated by the applied magnetic fluxes or the transport currents. For some values of the phase differences between the terminals, the current vortex state and the two dimensional phase slip center are appeared.Comment: 17 pages in Latex and 6 ps Figures. Will be published in Low Temp.Phy

Information Literacy for Speech-Language Pathologists: A Key to Evidence-Based Practice

O n January 1, 2005, a new set of standards for clinical certification in speech-language pathology took effect. These new standards from the American Speech-Language-Hearing Association (ASHA) outline an action plan identifying the knowledge and skills needed for clinicians to enter the practice of speech-language pathology. One of the standards, Standard III-F, states that, "the applicant must demonstrate knowledge of processes used in research and the integration of research principles into evidence-based clinical practice" (ASHA, 2004, p. 6). Evidence-based practice (EBP) has become a critical tenet of speech-language pathology in the new millennium. EBP Information is found by doing research. Research is a process that involves a number of steps or stages, some of which may be repeated over the course of seeking information. A person who is information literate is proficient in the research process and is able to satisfy information needs by finding appropriate information. Although numerous models exist for outlining and describing the research process for individuals at varying stages of the educational process (from elementary school through graduate education and throughout one's career), they all contain some common basic features or skills that must be achieved in order to complete the process. This tutorial will present a framework that must be achieved if speech-language pathologists (SLPs) wish to become and remain information literate. HOW THE REQUIREMENTS OF EBP INTERFACE WITH INFORMATION LITERACY (IL) Steps in implementing EBP might include the following for a given clinical problem, as Sacket

The Beurling--Malliavin Multiplier Theorem and its analogs for the de Branges spaces

Let $\omega$ be a non-negative function on $\mathbb{R}$. We are looking for a non-zero $f$ from a given space of entire functions $X$ satisfying $$(a) \quad|f|\leq \omega\text{\quad or\quad(b)}\quad |f|\asymp\omega.$$ The classical Beurling--Malliavin Multiplier Theorem corresponds to $(a)$ and the classical Paley--Wiener space as $X$. We survey recent results for the case when $X$ is a de Branges space \he. Numerous answers mainly depend on the behaviour of the phase function of the generating function $E$.Comment: Survey, 25 page

Resonances for "large" ergodic systems in one dimension: a review

The present note reviews recent results on resonances for one-dimensional quantum ergodic systems constrained to a large box. We restrict ourselves to one dimensional models in the discrete case. We consider two type of ergodic potentials on the half-axis, periodic potentials and random potentials. For both models, we describe the behavior of the resonances near the real axis for a large typical sample of the potential. In both cases, the linear density of their real parts is given by the density of states of the full ergodic system. While in the periodic case, the resonances distribute on a nice analytic curve (once their imaginary parts are suitably renormalized), In the random case, the resonances (again after suitable renormalization of both the real and imaginary parts) form a two dimensional Poisson cloud