2008

Distributions of Conductance and Shot Noise and Associated Phase Transitions

Pierpaolo Vivo 1, Satya N. Majumdar 2, Oriol Bohigas 2 Physical Review Letters 101 (2008) 216809 For a chaotic cavity with two indentical leads each supporting N channels, we compute analytically, for large N, the full distribution of the conductance and the shot noise power and show that in both cases there is a central Gaussian region flanked on both sides […]

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Distance matrices and isometric embeddings

E. Bogomolny 1, O. Bohigas 1, C. Schmit 1 Journal of Mathematical Physics, Analysis, Geometry 4 (2008) 7 We review the relations between distance matrices and isometric embeddings and give simple proofs that distance matrices defined on euclidean and spherical spaces have all eigenvalues except one non-negative. Several generalizations are discussed. 1. Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS), CNRS

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Disordered ensembles of random matrices

O. Bohigas 1, J. X. de Carvalho 2, 3, M. P. Pato 1, 2 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 77 (2008) 011122 It is shown that the families of generalized matrix ensembles recently considered which give rise to an orthogonal invariant stable L\'{e}vy ensemble can be generated by the simple procedure of dividing Gaussian matrices by a random variable.

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Dipole Oscillations of a Bose-Einstein Condensate in Presence of Defects and Disorder

M. Albert 1, T. Paul 1, N. Pavloff 1, P. Leboeuf 1 Physical Review Letters 100 (2008) 250405 We consider dipole oscillations of a trapped dilute Bose-Einstein condensate in the presence of a scattering potential consisting either in a localized defect or in an extended disordered potential. In both cases the breaking of superfluidity and the damping of the oscillations are shown to

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Deformations of the Tracy-Widom distribution

O. Bohigas 1, J. X. de Carvalho 2, 3, M. P. Pato 1, 2 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 79 (2008) 031117 In random matrix theory (RMT), the Tracy-Widom (TW) distribution describes the behavior of the largest eigenvalue. We consider here two models in which TW undergoes transformations. In the first one disorder is introduced in the Gaussian ensembles

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Crowding at the Front of the Marathon Packs

Sanjib Sabhapandit 1, Satya N. Majumdar 1, S. Redner 2 Journal of statistical mechanics-theory and experiment (2008) L03001 We study the crowding of near-extreme events in the time gaps between successive finishers in major international marathons. Naively, one might expect these gaps to become progressively larger for better-placing finishers. While such an increase does indeed occur from the middle of the

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Critical Temperature Curve in the BEC-BCS Crossover

Evgeni Burovski 1, Evgeny Kozik 2, Nikolay Prokof’Ev 3, 4, 5, Boris Svistunov 3, 4, Matthias Troyer 6 Physical Review Letters 101 (2008) 090402 The strongly-correlated regime of the BCS-BEC crossover can be realized by diluting a system of two-component fermions with a short-range attractive interaction. We investigate this system via a novel continuous-space-time diagrammatic determinant Monte Carlo method and determine the universal curve $T_c/\epsilon_F$ for the transition

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Constraint satisfaction problems with isolated solutions are hard

Lenka Zdeborová 1, 2, Marc Mézard 1 Journal of Statistical Mechanics: Theory and Experiment (2008) 12004 We study the phase diagram and the algorithmic hardness of the random `locked’ constraint satisfaction problems, and compare them to the commonly studied ‘non-locked’ problems like satisfiability of boolean formulas or graph coloring. The special property of the locked problems is that clusters of

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