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Fluctuations of random matrix products and 1D Dirac equation with random mass

Kabir Ramola 1 Christophe Texier 1 Journal of Statistical Physics, Springer Verlag (Germany), 2014, 157, pp.497-514 We study the fluctuations of certain random matrix products $\Pi_N=M_N\cdots M_2M_1$ of $\mathrm{SL}(2,\mathbb{R})$, describing localisation properties of the one-dimensional Dirac equation with random mass. In the continuum limit, i.e. when matrices $M_n$’s are close to the identity matrix, we […]

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First order transition for the optimal search time of Lévy flights with resetting

Lukasz Kusmierz 1, 2 Satya N. Majumdar 3 Sanjib Sabhapandit 4 Gregory Schehr 3 Physical Review Letters, American Physical Society, 2014, 113, pp.220602 We study analytically an intermittent search process in one dimension. There is an immobile target at the origin and a searcher undergoes a discrete time jump process starting at $x_0\geq0$, where successive

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Experimental and theoretical investigation of angular dependence of the Casimir force between sinusoidally corrugated surfaces

A. A. Banishev 1 J. Wagner 1 T. Emig 2 R. Zandi 1 U. Mohideen 1 Physical Review B (Condensed Matter), American Physical Society, 2014, 89, pp.235436 In the current work we present the complete results for the measurement of normal Casimir force between shallow and smooth sinusoidally corrugated gold coated sphere and a plate

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Excitonic Mechanism of Local Phase Transformations by Optical Pumping

Serguei Brazovskii 1 Natasha Kirova 2 Journal of Superconductivity and Novel Magnetism, Springer Verlag (Germany), 2014, 27, pp.1009 – 1013. <10.1007/s10948-013-2432-9> Transformations of cooperative electronic states by impacts of optical pumping or/and electrostatic doping is a new mainstream in physics of correlated systems. Here we present a semi-phenomenological modelling of spacio-temporal effects in a system

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Exact non-equilibrium solutions of the Boltzmann equation under a time-dependent external force

David Guéry-Odelin 1 J. G. Muga 2, 3 M. J. Ruiz-Montero 4 E. Trizac 5 Physical Review Letters, American Physical Society, 2014, 112, pp.180602 We construct a novel class of exact solutions to the Boltzmann equation, in both its classical and quantum formulation, for arbitrary collision laws. When the system is subjected to a specific

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Entanglement Generation Using Discrete Solitons in Coulomb Crystals

H. Landa 1, 2 A. Retzker 3 T. Schaetz 4 B. Reznik 1 Physical Review Letters, American Physical Society, 2014, 113, pp.053001 Laser cooled and trapped ions can crystallize and feature discrete solitons, that are nonlinear, topologically-protected configurations of the Coulomb crystal. Such solitons, as their continuum counterparts, can move within the crystal, while their

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Ensemble inequivalence in a mean-field XY model with ferromagnetic and nematic couplings

Arkady Pikovsky 1, 2 Shamik Gupta 3 Tarcisio N. Teles 4 Fernanda P. C. Benetti 4 Renato Pakter 4 Yan Levin 4 Stefano Ruffo 5 Physical Review E, American Physical Society, 2014, pp.062141 We explore ensemble inequivalence in long-range interacting systems by studying an XY model of classical spins with ferromagnetic and nematic coupling. We

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