publications

Fermi Edge Singularities in the Mesoscopic Regime: I. Anderson Orthogonality Catastrophe

Martina Hentschel 1, 2, Denis Ullmo 1, 3, Harold U. Baranger 1 Physical Review B 72 (2005) 035310 For generic mesoscopic systems like quantum dots or nanoparticles, we study the Anderson orthogonality catastrophe (AOC) and Fermi edge singularities in photoabsorption spectra in a series of two papers. In the present paper we focus on AOC for a finite number of particles in discrete energy […]

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Exact coherent states of a harmonically confined Tonks-Girardeau gas

A. Minguzzi 1, D. M. Gangardt 1 Physical Review Letters 94 (2005) 240404 Using a scaling transformation we exactly determine the dynamics of an harmonically confined Tonks-Girardeau gas under arbitrary time variations of the trap frequency. We show how during a one-dimensional expansion a « dynamical fermionization\’\’ occurs as the momentum distribution rapidly approaches an ideal Fermi gas distribution, and

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Exact Asymptotic Results for a Model of Sequence Alignment

Satya Majumdar 1, Sergei K. Nechaev 1, 2 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 72 (2005) 020901 Finding analytically the statistics of the longest common subsequence (LCS) of a pair of random sequences drawn from c alphabets is a challenging problem in computational evolutionary biology. We present exact asymptotic results for the distribution of the LCS in a

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Equilibrium statistics of a slave estimator in Langevin processes

David S. Dean 1, 2, Ian T. Drummond 1, Ron R. Horgan 1, Satya Majumdar 3 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 71 (2005) 031103 We analyze the statistics of an estimator, denoted by xi_t and referred to as the slave, for the equilibrium susceptibility of a one dimensional Langevin process x_t in a potential phi(x). The susceptibility can be measured by

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Diatomic molecules in ultracold Fermi gases – Novel composite bosons

D. S. Petrov 1, C. Salomon 2, G. V. Shlyapnikov 3, 4 Journal of Physics B 38 (2005) S645-S660 We give a brief overview of recent studies of weakly bound homonuclear molecules in ultracold two-component Fermi gases. It is emphasized that they represent novel composite bosons, which exhibit features of Fermi statistics at short intermolecular distances. In particular, Pauli exclusion principle for

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Dephasing due to electron-electron interaction in a diffusive ring

Christophe Texier 1, 2, Gilles Montambaux 2 Physical Review B 72 (2005) 115327 We study the effect of the electron-electron interaction on the weak localization correction of a ring pierced by a magnetic flux. We compute exactly the path integral giving the magnetoconductivity for an isolated ring. The results are interpreted in a time representation. This allows to characterize the

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