publications

Olivier Giraud 1, 2, Petr A. Braun 3, 4, Daniel Braun 1 New Journal of Physics 12 (2010) 063005 We introduce a measure of  »quantumness » for any quantum state in a finite dimensional Hilbert space, based on the distance between the state and the convex set of classical states. The latter are defined as states that can be written as a convex sum […]

Alain Comtet 1, 2, Christophe Texier 2, 3, Yves Tourigny 4 Journal of Statistical Physics 140 (2010) 427-466 To every product of $2\times2$ matrices, there corresponds a one-dimensional Schr\'{o}dinger equation whose potential consists of generalised point scatterers. Products of {\em random} matrices are obtained by making these interactions and their positions random. We exhibit a simple one-dimensional quantum model corresponding to the most

Pierpaolo Vivo 1, Satya N. Majumdar 2, Oriol Bohigas 2 Physical Review B 81 (2010) 104202 We establish large deviation formulas for linear statistics on the $N$ transmission eigenvalues $\{T_i\}$ of a chaotic cavity, in the framework of Random Matrix Theory. Given any linear statistics of interest $A=\sum_{i=1}^N a(T_i)$, the probability distribution $\mathcal{P}_A(A,N)$ of $A$ generically satisfies the large deviation formula

Brazovskii, S., Kirova, N. Chemical Society Review39 (2010) 2453-2465

Javier Almeida 1, Guillaume Roux 2, Didier Poilblanc 1 Physical Review B 82 (2010) 041102 Motivated by Resonant X-ray scattering experiments in cuprate ladder materials showing charge order modulation of period $\lambda=3$ and 5 at specific hole densities, we investigate models involving the electronic t-J ladders and bosonic chains coupled via screened Coulomb repulsion. Extensive density matrix renormalization group calculations applied

V. A. Avetisov 1, S. K. Nechaev 2, 3, 4, A. B. Shkarin 5 Physica A: Statistical Mechanics and its Applications 389, 24 (2010) 5895-5902 The distribution of motifs in random hierarchical networks defined by nonsymmetric random block–hierarchical adjacency matrices, is constructed for the first time. According to the classification of U. Alon et al of network superfamilies by their motifs distributions, our

J. Martin 1, Olivier Giraud 2, 3, P. A. Braun 4, 5, Daniel Braun 2, T. Bastin 6 Physical review A: Atomic, Molecular and Optical Physics 81 (2010) 062347 We propose a detailed study of the geometric entanglement properties of pure symmetric N-qubit states, focusing more particularly on the identification of symmetric states with a high geometric entanglement and how their entanglement behaves asymptotically for large N.

John Martin 1, Ignacio Garcia-Mata 1, Olivier Giraud 1, 2, Bertrand Georgeot 1 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 82 (2010) 046206 We study numerically multifractal properties of two models of one-dimensional quantum maps, a map with pseudointegrable dynamics and intermediate spectral statistics, and a map with an Anderson-like transition recently implemented with cold atoms. Using extensive numerical simulations, we compute

Santachiara, R., Tanzini, A. Physical Review D82 (2010) 126006

Papoular, D.J., Shlyapnikov, G.V., Dalibard, J. Physical Review A81 (2010) 041603