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Probability distributions of Linear Statistics in Chaotic Cavities and associated phase transitions

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 […]

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Pair Density Waves in coupled doped two-leg Ladders

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

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On the motif distribution in random block-hierarchical networks

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

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Multiqubit symmetric states with high geometric entanglement

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.

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Multifractal wave functions of simple quantum maps

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

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Maximum of N Independent Brownian Walkers till the First Exit From the Half Space

P. L. Krapivsky 1, Satya N. Majumdar 2, Alberto Rosso 2 Journal of Physics A Mathematical and Theoretical 43 (2010) 315001 We consider the one-dimensional target search process that involves an immobile target located at the origin and $N$ searchers performing independent Brownian motions starting at the initial positions $\vec x = (x_1,x_2,…, x_N)$ all on the positive half space. The

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Maximum Distance Between the Leader and the Laggard for Three Brownian Walkers

Satya N. Majumdar 1, Alan J. Bray 2 Journal of Statistical Mechanics (2010) P08023 We consider three independent Brownian walkers moving on a line. The process terminates when the left-most walker (the `Leader’) meets either of the other two walkers. For arbitrary values of the diffusion constants D_1 (the Leader), D_2 and D_3 of the three walkers, we compute

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