27,848 research outputs found

    Application of Instantons: Quenching of Macroscopic Quantum Coherence and Macroscopic Fermi-Particle Configurations

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    Starting from the coherent state representation of the evolution operator with the help of the path-integral, we derive a formula for the low-lying levels E=ϵ0−2△ϵcos(s+ξ)πE = \epsilon_0 - 2\triangle\epsilon cos (s+\xi)\pi of a quantum spin system. The quenching of macroscopic quantum coherence is understood as the vanishing of cos(s+ξ)πcos (s+\xi)\pi in disagreement with the suppression of tunneling (i.e. △ϵ=0\triangle\epsilon = 0) as claimed in the literature. A new configuration called the macroscopic Fermi-particle is suggested by the character of its wave function. The tunneling rate ((2△ϵ)/(π)(2\triangle\epsilon)/(\pi)) does not vanish, not for integer spin s nor for a half-integer value of s, and is calculated explicitly (for the position dependent mass) up to the one-loop approximation.Comment: 13 pages, LaTex, no figure

    Stochastic Physics, Complex Systems and Biology

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    In complex systems, the interplay between nonlinear and stochastic dynamics, e.g., J. Monod's necessity and chance, gives rise to an evolutionary process in Darwinian sense, in terms of discrete jumps among attractors, with punctuated equilibrium, spontaneous random "mutations" and "adaptations". On an evlutionary time scale it produces sustainable diversity among individuals in a homogeneous population rather than convergence as usually predicted by a deterministic dynamics. The emergent discrete states in such a system, i.e., attractors, have natural robustness against both internal and external perturbations. Phenotypic states of a biological cell, a mesoscopic nonlinear stochastic open biochemical system, could be understood through such a perspective.Comment: 10 page

    First High Contrast Imaging Using a Gaussian Aperture Pupil Mask

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    Placing a pupil mask with a gaussian aperture into the optical train of current telescopes represents a way to attain high contrast imaging that potentially improves contrast by orders of magnitude compared to current techniques. We present here the first observations ever using a gaussian aperture pupil mask (GAPM) on the Penn State near-IR Imager and Spectrograph (PIRIS) at the Mt. Wilson 100′′^{\prime\prime} telescope. Two nearby stars were observed, ϵ\epsilon Eridani and μ\mu Her A. A faint companion was detected around μ\mu Her A, confirming it as a proper motion companion. Furthermore, the observed H and K magnitudes of the companion were used to constrain its nature. No companions or faint structure were observed for ϵ\epsilon Eridani. We found that our observations with the GAPM achieved contrast levels similar to our coronographic images, without blocking light from the central star. The mask's performance also nearly reached sensitivities reported for other ground based adaptive optics coronographs and deep HST images, but did not reach theoretically predicted contrast levels. We outline ways that could improve the performance of the GAPM by an order of magnitude or more.Comment: 8 pages, 4 figures, accepted by ApJ letter

    Coverage dependence of the 1-propanol adsorption on the Si(001) surface and fragmentation dynamics

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    The geometric, electronic, energetic, and dynamic properties of 1-propanol adsorbed on the Si(001)-2x1 surface are studied from first principles by use of a slab approach. The 1-propanol molecule initially interacts with the Si surface through formation of a dative bond, subsequently the physisorbed 1-propanol molecule reacts with the surface by cleavage of the O-H bond, and the Si(001)-2x1 surface undergoes further reconstruction as a result of the adsorption of the organic species. The band structure and density of states (DOS) are first analyzed for this system. The band gap of the Si/1-propanol film increases as the coverage level is enhanced. Good agreement is found with available experimental data.Comment: 29 pages, 15 figures, 8 tables, submitted to Phys. Rev.

    Su(3) Algebraic Structure of the Cuprate Superconductors Model based on the Analogy with Atomic Nuclei

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    A cuprate superconductor model based on the analogy with atomic nuclei was shown by Iachello to have an su(3)su(3) structure. The mean-field approximation Hamiltonian can be written as a linear function of the generators of su(3)su(3) algebra. Using algebraic method, we derive the eigenvalues of the reduced Hamiltonian beyond the subalgebras u(1)⨂u(2)u(1)\bigotimes u(2) and so(3)so(3) of su(3)su(3) algebra. In particular, by considering the coherence between s- and d-wave pairs as perturbation, the effects of coherent term upon the energy spectrum are investigated

    Shear viscosity, instability and the upper bound of the Gauss-Bonnet coupling constant

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    We compute the dimensionality dependence of η/s\eta/s for charged black branes with Gauss-Bonnet correction. We find that both causality and stability constrain the value of Gauss-Bonnet coupling constant to be bounded by 1/4 in the infinite dimensionality limit. We further show that higher dimensionality stabilize the gravitational perturbation. The stabilization of the perturbation in higher dimensional space-time is a straightforward consequence of the Gauss-Bonnet coupling constant bound.Comment: 16 pages,3 figures+3 tables,typos corrected, published versio
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