2009

Sahand Jamal Rahi 1, 2, Thorsten Emig 1, 2, 3, 4, Noah Graham 5, Robert L. Jaffe 1, 6, Mehran Kardar 1, 7 Physical Review D 80 (2009) 085021 We give a comprehensive presentation of methods for calculating the Casimir force to arbitrary accuracy, for any number of objects, arbitrary shapes, susceptibility functions, and separations. The technique is applicable to objects immersed in media other than vacuum, nonzero temperatures, and spatial […]

O. C. Martin 1, 2, P. Sulc 1 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 81 (2009) 031111 We consider random walks on random graphs, focusing on return probabilities and hitting times for sparse Erdos-Renyi graphs. We show how to solve for the distribution of these quantities in the thermodynamic limit and we find that these distributions exhibit

Benoit Estienne 1, Raoul Santachiara 2 Journal of Physics A Mathematical and Theoretical 42 (2009) 445209 The (k,r)-admissible Jack polynomials, recently proposed as many-body wavefunctions for non-Abelian fractional quantum Hall systems, have been conjectured to be related to some correlation functions of the minimal model WA_{k-1}(k+1,k+r) of the WA_{k-1} algebra. By studying the degenerate representations of the WA_{k-1}(k+1,k+r) theory,

X. Barillier-Pertuisel 1, O. Bohigas 2, H. A. Weidenmueller 3 Annals of Physics 324, 9 (2009) 1855-1874 We study the RPA equations in their most general form by taking the matrix elements appearing in the RPA equations as random. This yields either a unitarily or an orthogonally invariant random-matrix model which is not of the Cartan type. The average spectrum of

E. Bogomolny 1, Olivier Giraud 2, C. Schmit 1 Physical Review Letters 103 (2009) 054103 A method to generate new classes of random matrix ensembles is proposed. Random matrices from these ensembles are Lax matrices of classically integrable systems with a certain distribution of momenta and coordinates. The existence of an integrable structure permits to calculate the joint distribution of eigenvalues

V. A. Avetisov 1, A. Kh. Bikulov 2, S. K. Nechaev 3 Journal of Physics A Mathematical and Theoretical 42 (2009) 075001 We study the statistical and dynamic properties of the systems characterized by an ultrametric space of states and translationary non-invariant symmetric transition matrices of the Parisi type subjected to ‘locally constant’ randomization. Using the explicit expression for eigenvalues of

Guillaume Roux 1, 2 Physical Review A: Atomic, Molecular and Optical Physics 79 (2009) 021608 When a quantum many-body system undergoes a quench, the time-averaged density-matrix $\rho$ governs the time-averaged expectation value of any observable. It is therefore the key object to look at when comparing results with equilibrium predictions. We show that the weights of $\rho$ can

Christophe Texier 1, 2, Pierre Delplace 2, Gilles Montambaux 2 Physical Review B 80 (2009) 205413 We have studied the quantum oscillations of the conductance for arrays of connected mesoscopic metallic rings, in the presence of an external magnetic field. Several geometries have been considered: a linear array of rings connected with short or long wires compared to the phase coherence length,

Rojo-Bravo, A., Brazovskii, S. Physica B404 (2009) 552-555

F. Zomer 1, Y. Fedala 1, N. Pavloff 2, V. Soskov 1, A. Variola 1 Applied Optics 48 (2009) 6651-6661 Various four-mirror optical resonators are studied in the perspective of realizing passive stacking cavities. A comparative study of the mechanical stability is provided. The polarization properties of the cavity eigenmodes are described and it is shown that the effect of mirror misalignments (or motions) induces