2010

Finite size effects in global quantum quenches: examples from free bosons in an harmonic trap and the one-dimensional Bose-Hubbard model

Guillaume Roux 1 Physical Review A: Atomic, Molecular and Optical Physics 81 (2010) 053604 We investigate finite size effects in quantum quenches on the basis of simple energetic arguments. Distinguishing between the low-energy part of the excitation spectrum, below a microscopic energy-scale, and the high-energy regime enables one to define a crossover number of particles that is […]

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Finite size effects for the gap in the excitation spectrum of the one-dimensional Hubbard model

M. Colomé-Tatché 1, S. I. Matveenko 1, 2, G. V. Shlyapnikov 1, 3 Physical Review A: Atomic, Molecular and Optical Physics 81 (2010) 013611 We study finite size effects for the gap of the quasiparticle excitation spectrum in the weakly interacting regime one-dimensional Hubbard model with on-site attraction. Two type of corrections to the result of the thermodynamic limit are obtained. Aside from

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Experimental test of a trace formula for two-dimensional dielectric resonators

S. Bittner 1, E. Bogomolny 2, B. Dietz 3, M. Miski-Oglu 3, P. Oria Iriarte 1, A. Richter 1, 4, F. SchÄfer 5 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 81 (2010) 066215 Resonance spectra of two-dimensional dielectric microwave resonators of circular and square shapes have been measured. The deduced length spectra of periodic orbits were analyzed and a trace formula for dielectric resonators recently proposed by Bogomolny

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Emergence of rigidity at the structural glass transition: a first principle computation

Hajime Yoshino 1, Marc Mezard 2 Physical Review Letters 105 (2010) 015504 We compute the shear modulus of structural glasses from a first principle approach based on the cloned liquid theory. We find that the intra-state shear-modulus, which corresponds to the plateau modulus measured in linear visco-elastic measurements, strongly depends on temperature and vanishes continuously when the temperature is

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Effect of boundaries on the spectrum of a one-dimensional random mass Dirac Hamiltonian

Christophe Texier 1, 2, Christian Hagendorf 3 Journal of Physics A General Physics 43 (2010) 025002 The average density of states (DoS) of the one-dimensional Dirac Hamiltonian with a random mass on a finite interval [0,L] is derived. Our method relies on the eigenvalues distributions (extreme value statistics problem) which are explicitly obtained. The well-known Dyson singularity \sim-L/|epsilon|ln^3|\epsilon| is recovered

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Distribution of essential interactions in model gene regulatory networks under mutation-selection balance

Z. Burda 1, A. Krzywicki 2, O. C. Martin 3, 4, M. Zagorski 1 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 82 (2010) 011908 Gene regulatory networks typically have low in-degrees, whereby any given gene is regulated by few of the genes in the network. They also tend to have broad distributions for the out-degree. What mechanisms might be responsible for these

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Disorder-driven quantum phase transitions in superconductors and magnets

Lev Ioffe 1, Marc Mezard 2 Physical Review Letters 105 (2010) 037001 We develop an analytical theory, based on the quantum cavity method, describing the quantum phase transitions in low-temperature, strongly disordered ferromagnets and superconductors. At variance with the usual quantum critical points, we find a phase diagram with two critical points separating three phases. When the disorder increases,

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