2,975 research outputs found

    Excitation and control of large amplitude standing magnetization waves

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    A robust approach to excitation and control of large amplitude standing magnetization waves in an easy axis ferromagnetic by starting from a ground state and passage through resonances with chirped frequency microwave or spin torque drives is proposed. The formation of these waves involves two stages, where in the first stage, a spatially uniform, precessing magnetization is created via passage through a resonance followed by a self-phase-locking (autoresonance) with a constant amplitude drive. In the second stage, the passage trough an additional resonance with a spatial modulation of the driving amplitude yields transformation of the uniform solution into a doubly phase-locked standing wave, whose amplitude is controlled by the variation of the driving frequency. The stability of this excitation process is analyzed both numerically and via Whitham's averaged variational principle

    Hermitian description of interacting inhomogeneous electron beams

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    Autoresonant excitation of Bose-Einstein condensates

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    Controlling the state of a Bose-Einstein condensate driven by a chirped frequency perturbation in a one-dimensional anharmonic trapping potential is discussed. By identifying four characteristic time scales in this chirped-driven problem, three dimensionless parameters P1,2,3P_{1,2,3} are defined describing the driving strength, the anharmonicity of the trapping potential, and the strength of the particles interaction, respectively. As the driving frequency passes the linear resonance in the problem, and depending on the location in the P1,2,3P_{1,2,3} parameter space, the system may exhibit two very different evolutions, i.e. the quantum energy ladder climbing (LC) and the classical autoresonance (AR). These regimes are analysed both in theory and simulations with the emphasis on the effect of the interaction parameter P3P_{3}. In particular, the transition thresholds on the driving parameter P1P_{1} and their width in P1P_{1} in both the AR and LC regimes are discussed. Different driving protocols are also illustrated, showing efficient control of excitation and de-excitation of the condensate

    Hebrew Creativity in British Reform

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    Rashi, \u3cem\u3eThe \u3c/em\u3e Jewish Exegete

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    Until modern times virtually every Jewish child imbibed the teachings, the narrative, and law of the Pentateuch with the assistance of Rashi\u27s commentary, or, as the Yiddish expression has it, Humash mit Rashi. Rashi\u27s Bible and Talmud commentaries are still unmatched for conciseness, clarity, and the sure touch of the born educator. Though of medieval French provenance, Rashi\u27s expositions were adopted by Jews everywhere, Ashkenazic, Sephardic, and Oriental, for nearly a thousand years. Nor was his influence restricted to Jews. Within a century after his death, his commentary was taken up by a learned Franciscan monk whose discourses were to lend shape to Martin Luther\u27s rendition of the Hebrew Bible into German, thus indirectly affecting the King James Version

    Mystical Influences in Jewish Liturgical Renewal

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    Phase-locking transition in a chirped superconducting Josephson resonator

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    By coupling a harmonic oscillator to a quantum system it is possible to perform a dispersive measurement that is quantum non-demolition (QND), with minimal backaction. A non-linear oscillator has the advantage of measurement gain, but what is the backaction? Experiments on superconducting quantum bits (qubits) coupled to a non-linear Josephson oscillator have thus far utilized the switching of the oscillator near a dynamical bifurcation for sensitivity, and have demonstrated partial QND measurement. The detailed backaction associated with the switching process is complex, and may ultimately limit the degree to which such a measurement can be QND. Here we demonstrate a new dynamical effect in Josephson oscillators by which the bifurcation can be accessed without switching. When energized with a frequency chirped drive with an amplitude close to a sharp, phase-locking threshold, the oscillator evolves smoothly in one of two diverging trajectories - a pointer for the state of a qubit. The observed critical behavior agrees well with theory and suggests a new modality for quantum state measurement.Comment: 5 pages, 4 figure
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