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Trace formula for dielectric cavities II: Regular, pseudo-integrable, and chaotic examples

E. Bogomolny 1, N. Djellali 2, R. Dubertrand 3, I. Gozhyk 2, M. Lebental 2, C. Schmit 1, C. Ulysse 4, J. Zyss 2 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 83 (2011) 036208 Dielectric resonators are open systems particularly interesting due to their wide range of applications in optics and photonics. In a recent paper [PRE, vol. 78, 056202 (2008)] the trace formula for both the smooth and […]

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Topological p_x+ip_y Superfluid Phase of Fermionic Polar Molecules

J. Levinsen 1, 2, N. R. Cooper 1, 2, G. V. Shlyapnikov 1, 3 Physical Review A 84 (2011) 013603 We discuss the topological p_x+ip_y superfluid phase in a 2D gas of single-component fermionic polar molecules dressed by a circularly polarized microwave field. This phase emerges because the molecules may interact with each other via a potential V_0(r) that has an attractive dipole-dipole 1/r^3

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Tkachenko modes and their damping in the vortex lattice regime of rapidly rotating bosons

S. I. Matveenko 1, 2, G. V. Shlyapnikov 1, 3 Physical Review A: Atomic, Molecular and Optical Physics 83 (2011) 033604 We have found an exact analytical solution of the Bogoliubov-de Gennes equations for the Tkachenko modes of the vortex lattice in the lowest Landau level (LLL) in the thermodynamic limit at any momenta and calculated their damping rates. At finite

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Thermal noise and dephasing due to electron interactions in non-trivial geometries

M. Treiber 1, C. Texier 2, 3, O. M. Yevtushenko 1, J. von Delft 1, I. V. Lerner 4 Physical Review B 84 (2011) 054204 We study Johnson-Nyquist noise in macroscopically inhomogeneous disordered metals and give a microscopic derivation of the correlation function of the scalar electric potentials in real space. Starting from the interacting Hamiltonian for electrons in a metal and the random phase approximation,

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The convex hull for a random acceleration process in two dimensions

Alexis Reymbaut, Satya N. Majumdar 1, Alberto Rosso 1 Journal of Physics A: Mathematical and Theoretical 44, 41 (2011) 415001 We compute exactly the mean perimeter and the mean area of the convex hull of a random acceleration process of duration T in two dimensions. We use an exact mapping that relates, via Cauchy’s formulae, the computation of the perimeter

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Supersymmetric quantum mechanics with Levy disorder in one dimension

Alain Comtet 1, 2, Christophe Texier 2, 3, Yves Tourigny 4 Journal of Statistical Physics 145 (2011) 1291-1323 We consider the Schroedinger equation with a supersymmetric random potential, where the superpotential is a Levy noise. We focus on the problem of computing the so-called complex Lyapunov exponent, whose real and imaginary parts are, respectively, the Lyapunov exponent and the integrated density of states

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Strong-Coupling Theory of Counter-ions at Charged Plates

L. Samaj 1, E. Trizac 2 Physical Review Letters 106 (2011) 078301 We present an analytical approach to the strong coupling regime of similarly and highly charged plates in the presence of counter-ions. The procedure is physically transparent and based on an exact expansion around the ground state formed by the two-dimensional Wigner crystal of counter-ions. The one plate

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Strong screening in the plum pudding model

A. D. Chepelianskii 1, F. Closa 2, E. Raphael 2, E. Trizac 3 Europhysics Letters (EPL) 94 (2011) 68010 We study a generalized Thomson problem that appears in several condensed matter settings: identical point-charge particles can penetrate inside a homogeneously charged sphere, with global electro-neutrality. The emphasis is on scaling laws at large Coulombic couplings, and deviations from mean-field behaviour, by a combination

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