2012

Quantum fluctuations around black hole horizons in Bose-Einstein condensates

P. -É. Larré 1, A. Recati 2, I. Carusotto 2, N. Pavloff 1 Physical Review A 85 (2012) 013621 We study several realistic configurations allowing to realize an acoustic horizon in the flow of a one dimensional Bose-Einstein condensate. In each case we give an analytical description of the flow pattern, of the spectrum of Hawking radiation and of the associated quantum fluctuations. […]

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Probing Spin-Charge Relation by Magnetoconductance in One-Dimensional Polymer Nanofibers

A. Choi 1, 2, K. H. Kim 1, S. J. Hong 1, M. Goh 3, 4, K. Akagi 3, R. B. Kaner 5, N. N. Kirova 6, S. A. Brazovskii 7, A. T. Johnson 8, 9, D. A. Bonnell 8, E. J. Mele 9, Y. W. Park 1 Physical Review B (Condensed Matter) 86 (2012) 155423 Polymer nanofibers are one-dimensional organic hydrocarbon systems containing conducting polymers where the non-linear local excitations such as solitons, polarons and bipolarons formed by the electron-phonon interaction

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Probabilistic Reconstruction in Compressed Sensing: Algorithms, Phase Diagrams, and Threshold Achieving Matrices

Florent Krzakala 1, Marc Mézard 2, François Sausset 2, Yifan Sun 1, 3, Lenka Zdeborová 4 Journal of Statistical Mechanics: Theory and Experiment (2012) P08009 Compressed sensing is a signal processing method that acquires data directly in a compressed form. This allows one to make less measurements than what was considered necessary to record a signal, enabling faster or more precise measurement protocols in a wide

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Phase behaviour of colloidal assemblies on 2D corrugated substrates

Samir El Shawish 1, Emmanuel Trizac 2, Jure Dobnikar 1 Journal of Physics: Condensed Matter 24 (2012) 284118 We investigate – with Monte Carlo computer simulations – the phase behaviour of dimeric colloidal molecules on periodic substrates with square symmetry. The molecules are formed in a two-dimensional suspension of like charged colloids subject to periodic external confinement, which can be experimentally

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Ordered spectral statistics in 1D disordered supersymmetric quantum mechanics and Sinai diffusion with dilute absorbers

Christophe Texier 1, 2 Physica Scripta 86 (2012) 058515 Some results on the ordered statistics of eigenvalues for one-dimensional random Schrödinger Hamiltonians are reviewed. In the case of supersymmetric quantum mechanics with disorder, the existence of low energy delocalized states induces eigenvalue correlations and makes the ordered statistics problem nontrivial. The resulting distributions are used to analyze the

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On the joint distribution of the maximum and its position of the Airy2 process minus a parabola

Jinho Baik 1, Karl Liechty 1, Gregory Schehr 2 Journal of Mathematical Physics 53 (2012) 083303 The maximal point of the Airy2 process minus a parabola is believed to describe the scaling limit of the end-point of the directed polymer in a random medium, which was proved to be true for a few specific cases. Recently two different formulas for the

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Number of relevant directions in Principal Component Analysis and Wishart random matrices

Satya N. Majumdar 1, Pierpaolo Vivo 1 Physical Review Letters 108 (2012) 200601 We compute analytically, for large $N$, the probability $\mathcal{P}(N_+,N)$ that a $N\times N$ Wishart random matrix has $N_+$ eigenvalues exceeding a threshold $N\zeta$, including its large deviation tails. This probability plays a benchmark role when performing the Principal Component Analysis of a large empirical dataset. We

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