publications

Littlewood–Richardson coefficients and integrable tilings

Paul Zinn-Justin 1 The Electronic Journal of Combinatorics 16 (2009) R12 We provide direct proofs of product and coproduct formulae for Schur functions where the coefficients (Littlewood–Richardson coefficients) are defined as counting puzzles. The product formula includes a second alphabet for the Schur functions, allowing in particular to recover formulae of [Molev–Sagan ’99] and [Knutson–Tao ’03] for

Littlewood–Richardson coefficients and integrable tilings Lire la suite »

Lattice modulation spectroscopy of strongly interacting bosons in disordered and quasi-periodic optical lattices

G. Orso 1, A. Iucci 2, 3, M. A. Cazalilla 4, 5, T. Giamarchi 3 Physical Review A: Atomic, Molecular and Optical Physics 80 (2009) 033625 We compute the absorption spectrum of strongly repulsive one-dimensional bosons in a disordered or quasi-periodic optical lattice. At commensurate filling, the particle-hole resonances of the Mott insulator are broadened as the disorder strength is increased. In the non-commensurate case,

Lattice modulation spectroscopy of strongly interacting bosons in disordered and quasi-periodic optical lattices Lire la suite »

Large Deviations of the Maximum Eigenvalue for Wishart and Gaussian Random Matrices

Satya N. Majumdar 1, Massimo Vergassola 2 Physical Review Letters 102 (2009) 060601 We present a simple Coulomb gas method to calculate analytically the probability of rare events where the maximum eigenvalue of a random matrix is much larger than its typical value. The large deviation function that characterizes this probability is computed explicitly for Wishart and Gaussian ensembles.

Large Deviations of the Maximum Eigenvalue for Wishart and Gaussian Random Matrices Lire la suite »

Kramers degeneracy in a magnetic field and Zeeman spin-orbit coupling in antiferromagnets

Revaz Ramazashvili 1, 2 Physical Review B 79 (2009) 184432 In this article, I analyze the symmetries and degeneracies of electron eigenstates in a commensurate collinear antiferromagnet. In a magnetic field transverse to the staggered magnetization, a hidden anti-unitary symmetry protects double degeneracy of the Bloch eigenstates at a special set of momenta. In addition to this `Kramers

Kramers degeneracy in a magnetic field and Zeeman spin-orbit coupling in antiferromagnets Lire la suite »

Ground State and Excitations of Quantum Dots with ‘Magnetic Impurities’

R. K. Kaul 1, 2, D. Ullmo 3, G. Zarand 4, 5, S. Chandrasekharan 6, H. U. Baranger 6 Physical Review B 80 (2009) 035318 We consider an ‘impurity’ with a spin degree of freedom coupled to a finite reservoir of non-interacting electrons, a system which may be realized by either a true impurity in a metallic nano-particle or a small quantum dot coupled to a large

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Fluctuating hydrodynamics for driven granular gases

P. Maynar 1, M. I. Garcia de Soria 1, E. Trizac 2 The European Physical Journal Special Topics 179, 1 (2009) 123-139 We study a granular gas heated by a stochastic thermostat in the dilute limit. Starting from the kinetic equations governing the evolution of the correlation functions, a Boltzmann-Langevin equation is constructed. The spectrum of the corresponding linearized Boltzmann-Fokker-Planck operator

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Fluctuating hydrodynamics for dilute granular gases

J. Javier Brey 1, P. Maynar 1, 2, M. I. Garcia de Soria 1, 3 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 79 (2009) 051305 Starting from the kinetic equations for the fluctuations and correlations of a dilute gas of inelastic hard spheres or disks, a Boltzmann-Langevin equation for the one-particle distribution function of the homogeneous cooling state is constructed. This

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