publications

Dean, D.S., Majumdar, S.N. Physical Review E77 (2008) 0411

Arul Lakshminarayan 1, Steven Tomsovic 1, Oriol Bohigas 2, Satya N. Majumdar 2 Physical Review Letters 100 (2008) 044103 An exact analytical description of extreme intensity statistics in complex random states is derived. These states have the statistical properties of the Gaussian and Circular Unitary Ensemble eigenstates of random matrix theory. Although the components are correlated by the normalization constraint, it is still

John Ardelius 1, Lenka Zdeborová 2 Physica E: Low-dimensional Systems and Nanostructures 78 (2008) 040101 We study geometrical properties of the complete set of solutions of the random 3-satisfiability problem. We show that even for moderate system sizes the number of clusters corresponds surprisingly well with the theoretic asymptotic prediction. We locate the freezing transition in the space of

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

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

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

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

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

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