publications

Exact distributions of cover times for $N$ independent random walkers in one dimension

Satya N. Majumdar 1 Sanjib Sabhapandit 2 Gregory Schehr 1 Physical Review E , American Physical Society (APS), 2016, 94 (6), pp.062131 We study the probability density function (PDF) of the cover time $t_c$ of a finite interval of size $L$, by $N$ independent one-dimensional Brownian motions, each with diffusion constant $D$. The cover time

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Evidence of spin-temperature in dynamic nuclear polarization: an exact computation of the EPR spectrum

Filippo Caracciolo 1 Marta Filibian 1 Pietro Carretta 1 Alberto Rosso 2 Andrea De Luca 2 PCCP : Physical chemistry chemical physics, Royal Society of Chemistry, 2016, 18, pp.25655 In a dynamic nuclear polarization (DNP) procedure, the compound is driven out-of-equilibrium by microwave irradiation of the dipolar electron spins of the radical. The main outcome

Evidence of spin-temperature in dynamic nuclear polarization: an exact computation of the EPR spectrum Lire la suite »

Equilibration Properties of Classical Integrable Field Theories

Andrea De Luca 1 Giuseppe Mussardo 2, 3 Journal of Statistical Mechanics: Theory and Experiment, IOP Science, 2016, 064011 We study the equilibration properties of classical integrable field theories at a finite energy density, with a time evolution that starts from initial conditions far from equilibrium. These classical field theories may be regarded as quantum

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Dropping the independence: singular values for products of two coupled random matrices

Gernot Akemann 1, 2 Eugene Strahov 3 Communications in Mathematical Physics, Springer Verlag, 2016, 345 (1), pp.101 We study the singular values of the product of two coupled rectangular random matrices as a determinantal point process. Each of the two factors is given by a parameter dependent linear combination of two independent, complex Gaussian random

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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

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

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,

Dispersive hydrodynamics of nonlinear polarization waves in two-component Bose-Einstein condensates Lire la suite »

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