37,903 research outputs found

    A Labelling Scheme for Higher Dimensional Simplex Equations

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    We present a succinct way of obtaining all possible higher dimensional generalization of Quantum Yang-Baxter Equation (QYBE). Using the scheme, we could generate the two popular three-simplex equations, namely: Zamolodchikov's tetrahedron equation (ZTE) and Frenkel and Moore equation (FME).Comment: To appear as a Letter to the Editor in J. Phys. A:Math and Ge

    Higher Derivative CP(N) Model and Quantization of the Induced Chern-Simons Term

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    We consider higher derivative CP(N) model in 2+1 dimensions with the Wess-Zumino-Witten term and the topological current density squared term. We quantize the theory by using the auxiliary gauge field formulation in the path integral method and prove that the extended model remains renormalizable in the large N limit. We find that the Maxwell-Chern-Simons theory is dynamically induced in the large N effective action at a nontrivial UV fixed point. The quantization of the Chern-Simons term is also discussed.Comment: 8 pages, no figure, a minor change in abstract, added Comments on the quantization of the Chern-Simons term whose coefficient is also corrected, and some references are added. Some typos are corrected. Added a new paragraph checking the equivalence between (3) and (5), and a related referenc

    Quantum Mechanics as a Framework for Dealing with Uncertainty

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    Quantum uncertainty is described here in two guises: indeterminacy with its concomitant indeterminism of measurement outcomes, and fuzziness, or unsharpness. Both features were long seen as obstructions of experimental possibilities that were available in the realm of classical physics. The birth of quantum information science was due to the realization that such obstructions can be turned into powerful resources. Here we review how the utilization of quantum fuzziness makes room for a notion of approximate joint measurement of noncommuting observables. We also show how from a classical perspective quantum uncertainty is due to a limitation of measurability reflected in a fuzzy event structure -- all quantum events are fundamentally unsharp.Comment: Plenary Lecture, Central European Workshop on Quantum Optics, Turku 2009

    Turbulence Time Series Data Hole Filling using Karhunen-Loeve and ARIMA methods

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    Measurements of optical turbulence time series data using unattended instruments over long time intervals inevitably lead to data drop-outs or degraded signals. We present a comparison of methods using both Principal Component Analysis, which is also known as the Karhunen--Loeve decomposition, and ARIMA that seek to correct for these event-induced and mechanically-induced signal drop-outs and degradations. We report on the quality of the correction by examining the Intrinsic Mode Functions generated by Empirical Mode Decomposition. The data studied are optical turbulence parameter time series from a commercial long path length optical anemometer/scintillometer, measured over several hundred metres in outdoor environments.Comment: 8 pages, 9 figures, submitted to ICOLAD 2007, City University, London, U

    Landau diamagnetism and magnetization of interacting diffusive conductors

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    We show how the orbital magnetization of an interacting disordered diffusive electron gas can be simply related to the magnetization of the non-interacting system having the same geometry. This result is applied to the persistent current of a mesoscopic ring and to the relation between Landau diamagnetism and the interaction correction to the magnetization of diffusive systems. The field dependence of this interaction contribution can be deduced directly from the de Haas-van Alphen oscillations of the free electron gas. Known results for the free orbital magnetism of finite systems can be used to derive the interaction contribution in the diffusive regime in various geometries.Comment: 4 pages, 2 figure

    Flavored exotic multibaryons and hypernuclei in topological soliton models

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    The energies of baryon states with positive strangeness, or anti-charm (-beauty) are estimated in chiral soliton approach, in the "rigid oscillator" version of the bound state soliton model proposed by Klebanov and Westerberg. Positive strangeness states can appear as relatively narrow nuclear levels (Theta-hypernuclei), the states with heavy anti-flavors can be bound with respect to strong interactions in the original Skyrme variant of the model (SK4 variant). The binding energies of anti-flavored states are estimated also in the variant of the model with 6-th order term in chiral derivatives in the lagrangian as solitons stabilizer (SK6 variant). The latter variant is less attractive, and nuclear states with anti-charm or anti-beauty can be unstable relative to strong interactions. The chances to get bound hypernuclei with heavy antiflavors are greater within "nuclear variant" of the model with rescaled model parameter (Skyrme constant e or e' decreased by ~30%) which is expected to be valid for baryon numbers greater than B ~10. The rational map approximation is used to describe multiskyrmions with baryon number up to ~30 and to calculate the quantities necessary for their quantization (moments of inertia, sigma-term, etc.).Comment: 24 pages, 7 table

    75^{75}As NMR of Ba(Fe0.93_{0.93}Co0.07_{0.07})2_{2}As2_{2} in High Magnetic Field

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    The superconducting state of an optimally doped single crystal of Ba(Fe0.93_{0.93}Co0.07_{0.07})2_2As2_2 was investigated by 75^{75}As NMR in high magnetic fields from 6.4 T to 28 T. It was found that the Knight shift is least affected by vortex supercurrents in high magnetic fields, H>11H>11 T, revealing slow, possibly higher order than linear, increase with temperature at T0.5TcT \lesssim 0.5 \, T_c, with Tc23KT_c \approx 23 \, K. This is consistent with the extended s-wave state with A1gA_{1g} symmetry but the precise details of the gap structure are harder to resolve. Measurements of the NMR spin-spin relaxation time, T2T_2, indicate a strong indirect exchange interaction at all temperatures. Below the superconducting transition temperature vortex dynamics lead to an anomalous dip in T2T_2 at the vortex freezing transition from which we obtain the vortex phase diagram up to H=28H = 28 T.Comment: 13 pages, 9 figure

    Pauli principle and chaos in a magnetized disk

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    We present results of a detailed quantum mechanical study of a gas of NN noninteracting electrons confined to a circular boundary and subject to homogeneous dc plus ac magnetic fields (B=Bdc+Bacf(t)(B=B_{dc}+B_{ac}f(t), with f(t+2π/ω0)=f(t)f(t+2\pi/\omega_0)=f(t)). We earlier found a one-particle {\it classical} phase diagram of the (scaled) Larmor frequency ω~c=omegac/ω0\tilde\omega_c=omega_c/\omega_0 {\rm vs} ϵ=Bac/Bdc\epsilon=B_{ac}/B_{dc} that separates regular from chaotic regimes. We also showed that the quantum spectrum statistics changed from Poisson to Gaussian orthogonal ensembles in the transition from classically integrable to chaotic dynamics. Here we find that, as a function of NN and (ϵ,ω~c)(\epsilon,\tilde\omega_c), there are clear quantum signatures in the magnetic response, when going from the single-particle classically regular to chaotic regimes. In the quasi-integrable regime the magnetization non-monotonically oscillates between diamagnetic and paramagnetic as a function of NN. We quantitatively understand this behavior from a perturbation theory analysis. In the chaotic regime, however, we find that the magnetization oscillates as a function of NN but it is {\it always} diamagnetic. Equivalent results are also presented for the orbital currents. We also find that the time-averaged energy grows like N2N^2 in the quasi-integrable regime but changes to a linear NN dependence in the chaotic regime. In contrast, the results with Bose statistics are akin to the single-particle case and thus different from the fermionic case. We also give an estimate of possible experimental parameters were our results may be seen in semiconductor quantum dot billiards.Comment: 22 pages, 7 GIF figures, Phys. Rev. E. (1999
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