publications

Novel Fermi Liquid of 2D Polar Molecules

Zhen-Kai Lu 1, 2, 3, G. V. Shlyapnikov 1, 4 Physical Review A 85 (2012) 023614 We study Fermi liquid properties of a weakly interacting 2D gas of single-component fermionic polar molecules with dipole moments $d$ oriented perpendicularly to the plane of their translational motion. This geometry allows the minimization of inelastic losses due to chemical reactions for reactive molecules and, at […]

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Non-equilibrium and information: the role of cross-correlations

Andrea Crisanti 1, Andrea Puglisi 2, Dario Villamaina 3 Physical Review E 85 (2012) 061127 We discuss the relevance of information contained in cross-correlations among different degrees of freedom, which is crucial in non-equilibrium systems. In particular we consider a stochastic system where two degrees of freedom $X_1$ and $X_2$ – in contact with two different thermostats – are coupled together.

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New alphabet-dependent morphological transition in a random RNA alignment

O. V. Valba 1, 2, M. V. Tamm 3, S. K. Nechaev 1, 4 Physical Review Letters 109 (2012) 018102 We study the fraction $f$ of nucleotides involved in the formation of a cactus–like secondary structure of random heteropolymer RNA–like molecules. In the low–temperature limit we study this fraction as a function of the number $c$ of different nucleotide species. We show, that

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Multifractality of quantum wave packets

Ignacio Garcia-Mata 1, 2, J. Martin 3, Olivier Giraud 4, Bertrand Georgeot 1 Physical Review E 86 (2012) 056215 We study a version of the mathematical Ruijsenaars-Schneider model, and reinterpret it physically in order to describe the spreading with time of quantum wave packets in a system where multifractality can be tuned by varying a parameter. We compare different methods to measure the multifractality

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Multifractality of eigenfunctions in spin chains

Yasar Yilmaz Atas 1, Eugene Bogomolny 1 Physical Review E 86 (2012) 021104 We investigate different one-dimensional quantum spin-1/2 chain models and by combining analytical and numerical calculations prove that their ground state wave functions in the natural spin basis are multifractals with, in general, non-trivial fractal dimensions. 1. Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS), CNRS :

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Multifractal dimensions for all moments for certain critical random matrix ensembles in the strong multifractality regime

E. Bogomolny 1, O. Giraud 1 Physical Review E 85 (2012) 046208 We construct perturbation series for the q-th moment of eigenfunctions of various critical random matrix ensembles in the strong multifractality regime close to localization. Contrary to previous investigations, our results are valid in the region q

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