2009

Three-body Casimir effects and non-monotonic forces

P. Rodriguez-Lopez 1, S. J. Rahi 2, T. Emig 3, 4 Physical Review A: Atomic, Molecular and Optical Physics 80 (2009) 022519 Casimir interactions are not pair-wise additive. This property leads to collective effects that we study for a pair of objects near a conducting wall. We employ a scattering approach to compute the interaction in terms of fluctuating multipoles. The wall […]

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The Index Distribution of Gaussian Random Matrices

Satya N. Majumdar 1, Celine Nadal 1, Antonello Scardicchio 2, Pierpaolo Vivo 2 Physical Review Letters 103 (2009) 220603 We compute analytically, for large N, the probability distribution of the number of positive eigenvalues (the index N_{+}) of a random NxN matrix belonging to Gaussian orthogonal (\beta=1), unitary (\beta=2) or symplectic (\beta=4) ensembles. The distribution of the fraction of positive eigenvalues c=N_{+}/N scales,

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Statistical Mechanics of Logarithmic REM: Duality, Freezing and Extreme Value Statistics of $1/f$ Noises generated by Gaussian Free Fields

Yan V Fyodorov 1, Pierre Le Doussal 2, Alberto Rosso 3 Journal of statistical mechanics-theory and experiment (2009) P10005 We compute the distribution of the partition functions for a class of one-dimensional Random Energy Models (REM) with logarithmically correlated random potential, above and at the glass transition temperature. The random potential sequences represent various versions of the 1/f noise generated by

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Stable Topological Superfluid Phase of Ultracold Polar Fermionic Molecules

N. R. Cooper 1, 2, G. V. Shlyapnikov 2, 3 Physical Review Letters 103 (2009) 155302 We show that single-component fermionic polar molecules confined to a 2D geometry and dressed by a microwave field, may acquire an attractive $1/r^3$ dipole-dipole interaction leading to superfluid p-wave pairing at sufficiently low temperatures even in the BCS regime. The emerging state is the topological

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Stability and pairing in quasi-one-dimensional Bose-Fermi mixtures

F. M. Marchetti 1, Th. Jolicoeur 2, M. M. Parish 3 Physical Review Letters 103 (2009) 105304 We consider a mixture of single-component bosonic and fermionic atoms in an array of coupled one-dimensional ‘tubes’. For an attractive Bose-Fermi interaction, we show that the system exhibits phase separation instead of the usual collapse. Moreover, above a critical inter-tube hopping, all first-order instabilities

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Spectral statistics of a pseudo-integrable map: the general case

E. Bogomolny 1, R. Dubertrand 1, 2, C. Schmit 1 Nonlinearity 22 (2009) 2101-2126 It is well established numerically that spectral statistics of pseudo-integrable models differs considerably from the reference statistics of integrable and chaotic systems. In [PRL,93 (2004) 254102] statistical properties of a certain quantized pseudo-integrable map had been calculated analytically but only for a special sequence of matrix dimensions. The

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Simulation of complete many-body quantum dynamics using controlled quantum-semiclassical hybrids

Piotr Deuar 1 Physical Review Letters 103 (2009) 130402 A controlled hybridization between full quantum dynamics and semiclassical approaches (mean-field and truncated Wigner) is implemented for interacting many-boson systems. It is then demonstrated how simulating the resulting hybrid evolution equations allows one to obtain the full quantum dynamics for much longer times than is possible using an

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