2010

J. Martin 1, Olivier Giraud 2, 3, P. A. Braun 4, 5, Daniel Braun 2, T. Bastin 6 Physical review A: Atomic, Molecular and Optical Physics 81 (2010) 062347 We propose a detailed study of the geometric entanglement properties of pure symmetric N-qubit states, focusing more particularly on the identification of symmetric states with a high geometric entanglement and how their entanglement behaves asymptotically for large N. […]

John Martin 1, Ignacio Garcia-Mata 1, Olivier Giraud 1, 2, Bertrand Georgeot 1 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 82 (2010) 046206 We study numerically multifractal properties of two models of one-dimensional quantum maps, a map with pseudointegrable dynamics and intermediate spectral statistics, and a map with an Anderson-like transition recently implemented with cold atoms. Using extensive numerical simulations, we compute

Santachiara, R., Tanzini, A. Physical Review D82 (2010) 126006

Papoular, D.J., Shlyapnikov, G.V., Dalibard, J. Physical Review A81 (2010) 041603

P. L. Krapivsky 1, Satya N. Majumdar 2, Alberto Rosso 2 Journal of Physics A Mathematical and Theoretical 43 (2010) 315001 We consider the one-dimensional target search process that involves an immobile target located at the origin and $N$ searchers performing independent Brownian motions starting at the initial positions $\vec x = (x_1,x_2,…, x_N)$ all on the positive half space. The

Satya N. Majumdar 1, Alan J. Bray 2 Journal of Statistical Mechanics (2010) P08023 We consider three independent Brownian walkers moving on a line. The process terminates when the left-most walker (the `Leader’) meets either of the other two walkers. For arbitrary values of the diffusion constants D_1 (the Leader), D_2 and D_3 of the three walkers, we compute

Giuliano Orso 1, Evgeni Burovski 1, Thierry Jolicoeur 1 Physical Review Letters, 104 (2010) 065301 We investigate one dimensional attractive Fermi gases in spin-dependent optical lattices. Starting from the asymmetric Hubbard model, we show that three-body bound states – « trimers » – exist as soon as the two tunneling rates are different. We calculate the binding energy and the effective mass of

Mathias Albert 1, Patricio Leboeuf 1 Physical Review A: Atomic, Molecular and Optical Physics 81 (2010) 013614 The one-dimensional propagation of waves in a bichromatic potential may be modeled by the Aubry-André Hamiltonian. The latter presents a delocalization-localization transition, which has been observed in recent experiments using ultracold atoms or light. It is shown here that, in contrast to

Jérôme Roccia 1, Patricio Leboeuf 2 Physical Review C 81 (2010) 044301 We investigate the many-body level density of gas of non-interacting fermions. We determine its behavior as a function of the temperature and the number of particles. As the temperature increases, and beyond the usual Sommerfeld expansion that describes the degenerate gas behavior, corrections due to a finite

A. Pikovski 1, M. Klawunn 1, 2, G. V. Shlyapnikov 3, 4, L. M.N.B.F. Santos 1 Physical Review Letters 105 (2010) 215302 We consider fermionic polar molecules in a bilayer geometry where they are oriented perpendicularly to the layers, which permits both low inelastic losses and superfluid pairing. The dipole-dipole interaction between molecules of different layers leads to the emergence of interlayer superfluids. The superfluid regimes