publications

Multifractality of quantum wave functions in the presence of perturbations

Rémy Dubertrand 1, 2 Ignacio Garcia-Mata 3 Bertrand Georgeot 1 Olivier Giraud 4 Gabriel Lemarié 1 John Martin 2 Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, American Physical Society, 2015, 92 (3), pp.032914. <http://journals.aps.org/pre/abstract/10.1103/PhysRevE.92.032914>. <10.1103/PhysRevE.92.032914> We present a comprehensive study of the destruction of quantum multifractality in the presence of perturbations. We […]

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Modelling the emergence of polarity patterns for the intercellular transport of auxin in plants

Silvia Grigolon 1 Peter Sollich 2 Olivier C. Martin 3 Journal of the Royal Society Interface, Royal Society, 2015, 12, pp.20141223 The hormone auxin is actively transported throughout plants via protein machineries including the dedicated transporter known as PIN. The associated transport is ordered with nearby cells driving auxin flux in similar directions. Here we

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Minimally entangled typical thermal states versus matrix product purifications for the simulation of equilibrium states and time evolution

Moritz Binder 1, 2 Thomas Barthel 3, 2 Physical Review B : Condensed matter and materials physics, American Physical Society, 2015, 92, pp.125119 For the simulation of equilibrium states and finite-temperature response functions of strongly-correlated quantum many-body systems, we compare the efficiencies of two different approaches in the framework of the density matrix renormalization group

Minimally entangled typical thermal states versus matrix product purifications for the simulation of equilibrium states and time evolution Lire la suite »

Mean perimeter of the convex hull of a random walk in a semi-infinite medium

M. Chupeau 1 O. Bénichou 1 S. N. Majumdar 2 Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, American Physical Society, 2015, 92, pp.022145 We study various properties of the convex hull of a planar Brownian motion, defined as the minimum convex polygon enclosing the trajectory, in the presence of an infinite reflecting

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Large time zero temperature dynamics of the spherical p=2-spin model of finite size

Yan V. Fyodorov 1 Anthony Perret 2 Gregory Schehr 2 Journal of Statistical Mechanics: Theory and Experiment, IOP Publishing, 2015, pp.P11017 We revisit the long time dynamics of the spherical fully connected spin-glass model, i.e. the spherical $p=2$-spin model, when the number of spins $N$ is large but finite. At $T=0$ where the system is

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Invariant sums of random matrices and the onset of level repulsion

Zdzisław Burda 1 Giacomo Livan 2 Pierpaolo Vivo 3, 4 Journal of Statistical Mechanics: Theory and Experiment, IOP Science, 2015, pp.P06024 Using a simple rotate-and-sum procedure, we construct and solve exactly a random matrix model with peculiar features. It is invariant under the standard symmetry groups (orthogonal and unitary) and yet the interaction between eigenvalues

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Interplay of curvature and temperature in the Casimir-Polder interaction

Giuseppe Bimonte 1 Thorsten Emig 2 Journal of Physics: Condensed Matter, IOP Publishing, 2015, 27, pp.214018 We study the Casimir-Polder interaction at finite temperatures between a polarizable small, anisotropic particle and a non-planar surface using a derivative expansion. We obtain the leading and the next-to-leading curvature corrections to the interaction for low and high temperatures.

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Interference effects in the two-dimensional scattering of microcavity polaritons by an obstacle: phase dislocations and resonances

A. M. Kamchatnov 1 N. Pavloff 2 European Physical Journal D, EDP Sciences: EPJ, 2015, pp.32 We consider interference effects within the linear description of the scattering of two-dimensional microcavity polaritons by an obstacle. The polariton wave may exhibit phase dislocations created by the interference of the incident and the scattered fields. We describe these

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