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Full-Text Articles in Physics
Non-Abelian Quasiholes In Lattice Moore-Read States And Parent Hamiltonians, Sourav Manna, Julia Wildeboer, Germán Sierra, Anne E. B. Nielsen
Non-Abelian Quasiholes In Lattice Moore-Read States And Parent Hamiltonians, Sourav Manna, Julia Wildeboer, Germán Sierra, Anne E. B. Nielsen
Physics and Astronomy Faculty Publications
This work concerns Ising quasiholes in Moore-Read type lattice wave functions derived from conformal field theory. We commence with constructing Moore-Read type lattice states and then add quasiholes to them. By use of Metropolis Monte Carlo simulations, we analyze the features of the quasiholes, such as their size, shape, charge, and braiding properties. The braiding properties, which turn out to be the same as in the continuum Moore-Read state, demonstrate the topological attributes of the Moore-Read lattice states in a direct way. We also derive parent Hamiltonians for which the states with quasiholes included are ground states. One advantage of …
Fractional Brownian Motion With A Reflecting Wall, Alexander H. O. Wada, Thomas Vojta
Fractional Brownian Motion With A Reflecting Wall, Alexander H. O. Wada, Thomas Vojta
Physics Faculty Research & Creative Works
Fractional Brownian motion, a stochastic process with long-time correlations between its increments, is a prototypical model for anomalous diffusion. We analyze fractional Brownian motion in the presence of a reflecting wall by means of Monte Carlo simulations. Whereas the mean-square displacement of the particle shows the expected anomalous diffusion behavior (x2) ~ tα, the interplay between the geometric confinement and the long-time memory leads to a highly non-Gaussian probability density function with a power-law singularity at the barrier. In the superdiffusive case α > 1, the particles accumulate at the barrier leading to a divergence of the …
Quantum Monte Carlo Calculations Of Weak Transitions In A=6-10 Nuclei, S. Pastore, A. Baroni, S. Gandolfi, R. Schiavilla, R. B. Wiringa
Quantum Monte Carlo Calculations Of Weak Transitions In A=6-10 Nuclei, S. Pastore, A. Baroni, S. Gandolfi, R. Schiavilla, R. B. Wiringa
Physics Faculty Publications
Ab initio calculations of the Gamow-Teller (GT) matrix elements in the β decays of 6He and 10C and electron captures in 7Be are carried out using both variational and Green's function Monte Carlo wave functions obtained from the Argonne v18 two-nucleon and Illinois-7 three-nucleon interactions, and axial many-body currents derived from either meson-exchange phenomenology or chiral effective field theory. The agreement with experimental data is excellent for the electron captures in 7Be, while theory overestimates the 6He and 10C data by ~2% and ~10%, respectively. We show that for these systems correlations in the nuclear …