2005

On the Sign Problem in the Hirsch-Fye Algorithm for Impurity Problems

Jaebeom Yoo 1, Shailesh Chandrasekharan 1, Ribhu K. Kaul 1, Denis Ullmo 1, 2, Harold U. Baranger 1 Journal of Physics A 38 (2005) 10307-10310 We show that there is no fermion sign problem in the Hirsch and Fye algorithm for the single-impurity Anderson model. Beyond the particle-hole symmetric case for which a simple proof exists, this has been known only empirically. Here we prove the

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On the area under a continuous time Brownian motion till its first-passage time

Michael J. Kearney 1, Satya N. Majumdar 2 Journal of Physics A 38 (2005) 4097 The area swept out under a one-dimensional Brownian motion till its first-passage time is analysed using a backward Fokker-Planck technique. We obtain an exact expression of the area distribution for the zero drift case, and provide various asymptotic results for the non-zero drift case,

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Observation of dipole-dipole interaction in a degenerate quantum gas

J. Stuhler 1, A. Griesmaier 1, T. Koch 1, M. Fattori 1, T. Pfau 1, S. Giovanazzi 2, P. Pedri 3, 4, L. M.N.B.F. Santos 3 Physical Review Letters 95 (2005) 150406 We have investigated the expansion of a Bose-Einstein condensate (BEC) of strongly magnetic chromium atoms. The long-range and anisotropic magnetic dipole-dipole interaction leads to an anisotropic deformation of the expanding Cr-BEC which depends on the orientation of the atomic dipole moments.

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Nonlinear Transport of Bose-Einstein Condensates Through Waveguides with Disorder

Tobias Paul 1, Patricio Leboeuf 2, Nicolas Pavloff 2, Klaus Richter 1, Peter Schlagheck 1 Physical Review A: Atomic, Molecular and Optical Physics 72 (2005) 063621 We study the coherent flow of a guided Bose-Einstein condensate incident over a disordered region of length L. We introduce a model of disordered potential that originates from magnetic fluctuations inherent to microfabricated guides. This model allows for analytical

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Non-equilibrium relaxation of an elastic string in a random potential

Alejandro Kolton 1, Alberto Rosso 2, Thierry Giamarchi 1 Physical Review Letters 95 (2005) 180604 We study the non–equilibrium motion of an elastic string in a two dimensional pinning landscape using Langevin dynamics simulations. The relaxation of a line, initially flat, is characterized by a growing length, $L(t)$, separating the equilibrated short length scales from the flat long distance geometry that

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Mesoscopic Kondo Problem

Ribhu K. Kaul 1, Denis Ullmo 1, 2, Shailesh Chandrasekharan 1, Harold U. Baranger 1 Europhysics Letters (EPL) 71 (2005) 973-979 We study the effect of mesoscopic fluctuations on a magnetic impurity coupled to a spatially confined electron gas with a temperature in the mesoscopic range (i.e. between the mean level spacing $\\Delta$ and the Thouless energy $E_{\\rm Th}$). Comparing « poor-man\’s scaling\’\’ with exact

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Maxwell and very hard particle models for probabilistic ballistic annihilation: hydrodynamic description

Francois Coppex 1, Michel Droz 1, Emmanuel Trizac 2 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 72 (2005) 021105 The hydrodynamic description of probabilistic ballistic annihilation, for which no conservation laws hold, is an intricate problem with hard sphere-like dynamics for which no exact solution exists. We consequently focus on simplified approaches, the Maxwell and very hard particles (VHP)

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