2016

Distribution of spectral linear statistics on random matrices beyond the large deviation function — Wigner time delay in multichannel disordered wires

Aurélien Grabsch 1 Christophe Texier 1 Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2016, 49 (20), pp.465002 An invariant ensemble of $N\times N$ random matrices can be characterised by a joint distribution for eigenvalues $P(\lambda_1,\cdots,\lambda_N)$. The study of the distribution of linear statistics, i.e. of quantities of the form $L=(1/N)\sum_if(\lambda_i)$ where $f(x)$ is […]

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Dispersive hydrodynamics of nonlinear polarization waves in two-component Bose-Einstein condensates

T. Congy 1 A. M. Kamchatnov 2 N. Pavloff 1 SciPost Physics, 2016, 1 (1), pp.006 We study one dimensional mixtures of two-component Bose-Einstein condensates in the limit where the intra-species and inter-species interaction constants are very close. Near the mixing-demixing transition the polarization and the density dynamics decouple. We study the nonlinear polarization waves,

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Crossing probability for directed polymers in random media. II. exact tail of the distribution

Andrea De Luca 1 Pierre Le Doussal 2 Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, American Physical Society, 2016, 93, pp.032118. <10.1103/PhysRevE.93.032118> We study the probability $p \equiv p_\eta(t)$ that two directed polymers in a given random potential $\eta$ and with fixed and nearby endpoints, do not cross until time $t$. This

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Correlation functions with fusion-channel multiplicity in W 3 $$ {\mathcal{W}}_3 $$ Toda field theory

Vladimir Belavin 1, 2 Benoit Estienne 3 Omar Foda 4 Raoul Santachiara 5 Journal of High Energy Physics, Springer, 2016, 2016 (6), pp.137 1. IITP – Institute for Information Transmission Problems 2. P. N. Lebedev Physical Institute [Moscow] 3. LPTHE – Laboratoire de Physique Théorique et Hautes Energies 4. University of Melbourne 5. LPTMS –

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Correlation and fluctuation in Random Average Process on an infinite line with a driven tracer

J. Cividini 1 A. Kundu 2 S. N. Majumdar 3 D. Mukamel 1 Journal of Statistical Mechanics: Theory and Experiment, IOP Science, 2016, pp.053212 We study the effect of single biased tracer particle in a bath of other particles performing the random average process (RAP) on an infinite line. We focus on the large time

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Composite operators in Cubic Field Theories and Link Overlap Fluctuations in Spin-Glass Models

Ada Altieri 1, 2 Giorgio Parisi 2 Tommaso Rizzo 2 Physical Review B : Condensed matter and materials physics, American Physical Society, 2016, 93, pp.024422 We present a complete characterization of the fluctuations and correlations of the squared overlap in the Edwards-Anderson Spin-Glass model in zero field. The analysis reveals that the energy-energy correlations (and

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Bound states in string nets

Marc SchulzSebastien DusuelJulien Vidal 1 Phys.Rev., 2016, B94 (20), pp.205102. 〈10.1103/PhysRevB.94.205102〉 We discuss the emergence of bound states in the low-energy spectrum of the string-net Hamiltonian in the presence of a string tension. In the ladder geometry, we show that a single bound state arises either for a finite tension or in the zero-tension limit

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