2013

Experimental Observation of Localized Modes in a Dielectric Square Resonator

S. Bittner 1, E. Bogomolny 2, B. Dietz 3, M. Miski-Oglu 3, A. Richter 4 Physical Review E 88 (2013) 062906 We investigated the frequency spectra and field distributions of a dielectric square resonator in a microwave experiment. Since such systems cannot be treated analytically, the experimental studies of their properties are indispensable. The momentum representation of the measured field distributions shows that all resonant […]

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Exact theory of dense amorphous hard spheres in high dimension. II. The high density regime and the Gardner transition

Jorge Kurchan 1, Giorgio Parisi 2, Pierfrancesco Urbani 3, Francesco Zamponi 4 The Journal of Physical Chemistry B 117 (2013) 12979-12994 We consider the theory of the glass phase and jamming of hard spheres in the large space dimension limit. Building upon the exact expression for the free-energy functional obtained previously, we find that the Random First Order Transition (RFOT) scenario is realized

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Exact Statistics of the Gap and Time Interval Between the First Two Maxima of Random Walks

Satya N. Majumdar 1, Philippe Mounaix 2, Gregory Schehr 1 Physical Review Letters 111 (2013) 070601 We investigate the statistics of the gap, G_n, between the two rightmost positions of a Markovian one-dimensional random walker (RW) after n time steps and of the duration, L_n, which separates the occurrence of these two extremal positions. The distribution of the jumps \eta_i’s of

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Exact results for the spectra of interacting bosons and fermions on the lowest Landau level

Stefan Mashkevich 1, 2, Sergey Matveenko 3, Stéphane Ouvry 4 Journal of Statistical Mechanics (2013) P02013 A system of N interacting bosons or fermions in a two-dimensional harmonic potential (or, equivalently, magnetic field) whose states are projected onto the lowest Landau level is considered. Generic expressions are derived for matrix elements of any interaction, in the basis of angular momentum eigenstates. For

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Exact distributions of the number of distinct and common sites visited by N independent random walkers

Anupam Kundu 1, Satya N. Majumdar 1, Gregory Schehr 1 Physical Review Letters 110 (2013) 220602 We study the number of distinct sites S_N(t) and common sites W_N(t) visited by N independent one dimensional random walkers, all starting at the origin, after t time steps. We show that these two random variables can be mapped onto extreme value quantities associated to

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Ergodic vs diffusive decoherence in mesoscopic devices

Thibaut Capron 1, 2, Christophe Texier 3, 4, Gilles Montambaux 4, Dominique Mailly 5, Andreas D. Wieck 6, Christopher Bäuerle 1, Laurent Saminadayar 1 Physical Review B (Condensed Matter) 87, 4 (2013) 041307 We report on the measurement of phase coherence length in a high mobility two-dimensional electron gas patterned in two different geometries, a wire and a ring. The phase coherence length is extracted both from the weak localization correction

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Entanglement production in non-ideal cavities and optimal opacity

Dario Villamaina 1, Pierpaolo Vivo 1 Physical Review B (Condensed Matter) 88 (2013) 041301 We compute analytically the distributions of concurrence $\bm{\mathcal{C}}$ and squared norm $\bm{\mathcal{N}}$ for the production of electronic entanglement in a chaotic quantum dot. The dot is connected to the external world via one ideal and one partially transparent lead, characterized by the opacity $\gamma$. The

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Emergence of clones in sexual populations

Richard A. Neher 1, Marija Vucelja 2, Marc Mézard 3, Boris I. Shraiman 4 Journal of Statistical Mechanics: Theory and Experiment (2013) P01008 In sexual population, recombination reshuffles genetic variation and produces novel combinations of existing alleles, while selection amplifies the fittest genotypes in the population. If recombination is more rapid than selection, populations consist of a diverse mixture of many genotypes, as

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Effect of winding edge currents

Stephane Ouvry 1, Leonid Pastur 2, Andrey Yanovsky 2 Physics Letters A 377 (2013) 804-809 We discuss persistent currents for particles with internal degrees of freedom. The currents arise because of winding properties essential for the chaotic motion of the particles in a confined geometry. The currents do not change the particle concentrations or thermodynamics, similar to the skipping orbits in

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