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Condensation transition in joint large deviations of linear statistics

Juraj Szavits-Nossan 1 Martin R. Evans 1 Satya N. Majumdar 2 Journal of Physics A: Mathematical and Theoretical, Institute of Physics: Hybrid Open Access, 2014, 47, pp.455004 Real space condensation is known to occur in stochastic models of mass transport in the regime in which the globally conserved mass density is greater than a critical […]

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Clustering of branching Brownian motions in confined geometries

Zoia AndreaDumonteil EricMazzolo AlainDe Mulatier CléliaRosso Alberto Physical Review E, American Physical Society, 2014, 90, pp.042118 We study the evolution of a collection of individuals subject to Brownian diffusion, reproduction and disappearance. In particular, we focus on the case where the individuals are initially prepared at equilibrium within a confined geometry. Such systems are widespread

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Classical Heisenberg spins with long-range interactions: relaxation to equilibrium for finite systems

Julien Barré 1 Shamik Gupta 2 Journal of Statistical Mechanics: Theory and Experiment, IOP Science, 2014, 2014 (P02017), pp.20. <10.1088/1742-5468/2014/02/P02017> Systems with long-range interactions often relax towards statistical equilibrium over timescales that diverge with N , the number of particles. A recent work [S. Gupta and D. Mukamel, J. Stat. Mech.: Theory Exp. P03015 (2011)]

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Bound states and entanglement in the excited states of quantum spin chains

Jan Mölter 1 Thomas Barthel 2, 1 Ulrich Schollwöck 1 Vincenzo Alba 1 Journal of Statistical Mechanics, 2014, pp.P10029 We investigate entanglement properties of the excited states of the spin-1/2 Heisenberg (XXX) chain with isotropic antiferromagnetic interactions, by exploiting the Bethe ansatz solution of the model. We consider eigenstates obtained from both real and complex

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Area distribution of two-dimensional random walks and non Hermitian Hofstadter quantum mechanics

Sergey Matveenko 1, 2 Stephane Ouvry 2 Journal of Physics A: Mathematical and Theoretical, Institute of Physics: Hybrid Open Access, 2014, 47, pp.185001 When random walks on a square lattice are biased horizontally to move solely to the right, the probability distribution of their algebraic area can be exactly obtained. We explicitly map this biased

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Absence of a gap in the Gaffnian state

Thierry Jolicoeur 1 Takahiro Mizusaki 2 Philippe Lecheminant 3 Physical Review B (Condensed Matter), American Physical Society, 2014, 90, pp.075116 We study the Gaffnian trial wavefunction proposed to describe fractional quantum Hall correlations at Bose filling factor $\nu=2/3$ and Fermi filling $\nu=2/5$. A family of Hamiltonians interpolating between a hard-core interaction for which the physics

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