Exact valence bond entanglement entropy and probability distribution in the XXX spin chain and the Potts model
Jacobsen, J.L., Saleur, H. Physical Review Letters100 (2008) 087205
Jacobsen, J.L., Saleur, H. Physical Review Letters100 (2008) 087205
Evgeni Burovski 1, Holger Fehske 2, Andrei S. Mishchenko 3, 4 Physical Review Letters 101 (2008) 116403 We develop an approximation-free Diagrammatic Monte Carlo technique to study fermionic particles interacting with each other simultaneously through both an attractive Coulomb potential and bosonic excitations of the underlying medium. Exemplarily we apply the method to the long-standing exciton-polaron problem and present numerically exact results
Exact treatment of exciton-polaron formation by Diagrammatic Monte Carlo Lire la suite »
Satya N. Majumdar 1, Oriol Bohigas 1, Arul Lakshminarayan 2, 3 Journal of Statistical Physics 131 (2008) 33-49 A recent conjecture regarding the average of the minimum eigenvalue of the reduced density matrix of a random complex state is proved. In fact, the full distribution of the minimum eigenvalue is derived exactly for both the cases of a random real and a
Exact Minimum Eigenvalue Distribution of an Entangled Random Pure State Lire la suite »
Gregory Schehr 1, Satya N. Majumdar 2, Alain Comtet 2, Julien Randon-Furling 2 Physical Review Letters 101 (2008) 150601 We study p non intersecting one-dimensional Brownian walks, either excursions (p-watermelons with a wall) or bridges (p-watermelons without wall). We focus on the maximal height H_p of these p-watermelons configurations on the unit time interval. Using path integral techniques associated to corresponding models of
Exact distribution of the maximal height of watermelons Lire la suite »
Thomas Jorg 1, Helmut G. Katzgraber 2 Physical Review Letters 101 (2008) 197205 We perform Monte Carlo simulations of Ising spin-glass models in three and four dimensions, as well as of Migdal-Kadanoff spin glasses on a hierarchical lattice. Our results show strong evidence for universal scaling in the spin-glass phase in all three models. Not only does this allow
Evidence for universal scaling in the spin-glass phase Lire la suite »
E. Trizac 1, I. Pagonabarraga 2 American Journal of Physics 76 (2008) 777 In this note, we propose a simple derivation of the one dimensional hard rod equation of state, with and without a Kac tail (appended long range and weak potential). The case of hard spheres in higher dimension is also addressed and it is shown there that
Equation of state for hard sphere fluids with and without Kac tails Lire la suite »
Gentaro Watanabe 1, 2, Giuliano Orso 3, Franco Dalfovo 4, Lev P. Pitaevskii 5, 6, Sandro Stringari 7 Physical Review A: Atomic, Molecular and Optical Physics 78 (2008) 063619 By solving the Bogoliubov — de Gennes equations at zero temperature, we study the effects of a one-dimensional optical lattice on the behavior of a superfluid Fermi gas at unitarity. We show that, due to the lattice, at
Thomas Jorg 1, Federico Ricci-Tersenghi 2, 3 Physical Review Letters 100 (2008) 177203 We study link-diluted $\pm J$ Ising spin glass models on the hierarchical lattice and on a three-dimensional lattice close to the percolation threshold. We show that previously computed zero temperature fixed points are unstable with respect to temperature perturbations and do not belong to any critical line
P. Maynar 1, 2, M. I. Garcia de Soria 3, G. Schehr 1, A. Barrat 1, E. Trizac 3 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 77 (2008) 051128 We develop a theory for fluctuations and correlations in a gas evolving under ballistic annihilation dynamics. Starting from the hierarchy of equations governing the evolution of microscopic densities in phase space, we subsequently restrict to
Dynamics of Annihilation II: Fluctuations of Global Quantities Lire la suite »
M. I. Garcia de Soria 1, P. Maynar 2, 3, G. Schehr 2, A. Barrat 2, E. Trizac 1 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 77 (2008) 051127 We study the non-equilibrium statistical mechanics of a system of freely moving particles, in which binary encounters lead either to an elastic collision or to the disappearance of the pair. Such a system of {\em
Dynamics of Annihilation I : Linearized Boltzmann Equation and Hydrodynamics Lire la suite »