2009

Non-local pair correlations in the 1D Bose gas at finite temperature

P. Deuar 1, A. G. Sykes 2, D. M. Gangardt 3, M. J. Davis 4, P. D. Drummond 5, K. V. Kheruntsyan 6 Physical Review A: Atomic, Molecular and Optical Physics 79 (2009) 043619 The behavior of the spatial two-particle correlation function is surveyed in detail for a uniform 1D Bose gas with repulsive contact interactions at finite temperatures. Both long-, medium-, and short-range effects are investigated. […]

Non-local pair correlations in the 1D Bose gas at finite temperature Lire la suite »

Non-intersecting Brownian Interfaces and Wishart Random Matrices

Céline Nadal 1, Satya N. Majumdar 1 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 79 (2009) 061117 We study a system of $N$ non-intersecting $(1+1)$-dimensional fluctuating elastic interfaces (`vicious bridges’) at thermal equilibrium, each subject to periodic boundary condition in the longitudinal direction and in presence of a substrate that induces an external confining potential for each

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Near integrable systems

E. Bogomolny 1, M. R. Dennis 2, R. Dubertrand 3 Journal of Physics A Mathematical and Theoretical 42 (2009) 335102 A two-dimensional circular quantum billiard with unusual boundary conditions introduced by Berry and Dennis (\emph{J Phys A} {\bf 41} (2008) 135203) is considered in detail. It is demonstrated that most of its eigenfunctions are strongly localized and the corresponding eigenvalues are

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Multi-particle composites in density-imbalanced quantum fluids

Evgeni Burovski 1, Giuliano Orso 1, Thierry Jolicoeur 1 Physical Review Letters 103 (2009) 215301 We consider two-component one-dimensional quantum gases with density imbalance. While generically such fluids are two-component Luttinger liquids, we show that if the ratio of the densities is a rational number, p/q, and mass asymmetry between components is sufficiently strong, one of the two eigenmodes acquires a

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Modified Coulomb gas construction of quantum Hall states from non-unitary conformal field theories

M. V. Milovanović 1, Th. Jolicoeur 2, I. Vidanović 3 Physical Review B 80 (2009) 155324 Some fractional quantum Hall states observed in experiments may be described by first-quantized wavefunctions with special clustering properties like the Moore-Read Pfaffian for filling factor nu = 5/2. This wavefunction has been constructed by constructing correlation functions of a two-dimensional conformal field theory (CFT) involving

Modified Coulomb gas construction of quantum Hall states from non-unitary conformal field theories Lire la suite »

Message Passing for Optimization and Control of Power Grid: Model of Distribution System with Redundancy

Lenka Zdeborová 1, Aurélien Decelle 2, Michael Chertkov 3 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 80 (2009) 046112 We use a power grid model with $M$ generators and $N$ consumption units to optimize the grid and its control. Each consumer demand is drawn from a predefined finite-size-support distribution, thus simulating the instantaneous load fluctuations. Each generator has a

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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

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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,

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