publications

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

Satya N. Majumdar 1, Alberto Rosso 1, Andrea Zoia 2 Physical Review Letters 104 (2010) 020602 We present the universal features of the hitting probability $Q(x,L)$, the probability that a generic stochastic process starting at $x$ and evolving in a box $[0,L]$ hits the upper boundary $L$ before hitting the lower boundary at 0. For a generic self-affine process (describing, for

O. Giraud 1, K. Thas 2 Reviews of Modern Physics 82 (2010) 2213-2255 In a celebrated paper  »Can one hear the shape of a drum? » M. Kac [Amer. Math. Monthly 73, 1 (1966)] asked his famous question about the existence of nonisometric billiards having the same spectrum of the Laplacian. This question was eventually answered positively in 1992 by

H. Nonne 1, P. Lecheminant 1, Sylvain Capponi 2, G. Roux 3, E. Boulat 4 Physical Review B 81 (2010) 020408 R A Haldane conjecture is revealed for spin-singlet charge modes in 2N-component fermionic cold atoms loaded into one-dimensional optical lattice. By means of a low-energy approach and DMRG calculations, we show the emergence of gapless and gapped phases depending on the parity of N

Pierre Carmier 1, Caio Lewenkopf 2, Denis Ullmo 1 Physical Review B 81 (2010) 241406 We provide a semiclassical description of the electronic transport through graphene n-p junctions in the quantum Hall regime. A semiclassical approximation for the conductance is derived in terms of the various snake-like trajectories at the interface of the junction. For a symmetric (ambipolar) configuration, the general