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20022013
most citedPhoton blockade induced Mott transitions and XY spin models in coupled cavity arrays

564 citations

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6 papers · 1 filter

math-ph2007★ 2 cited

Diffusive-Ballistic Transition in Random Walks with Long-Range Self-Repulsion

Aldo Procacci, Remy Sanchis, Benedetto Scoppola

We prove that a class of random walks on with long-range self-repulsive interactions have a diffusive-ballistic phase transition.

math-ph2007★ 12 cited

Abstract polymer models with general pair interactions

Aldo Procacci

A convergence criterion of cluster expansion is presented in the case of an abstract polymer system with general pair interactions (i.e. not necessarily hard core or repulsive). As…

math-ph2007★ 29 cited

The analyticity region of the hard sphere gas. Improved bounds

Roberto Fernandez, Aldo Procacci, Benedetto Scoppola

We find an improved estimate of the radius of analyticity of the pressure of the hard-sphere gas in dimensions. The estimates are determined by the volume of multidimensional r…

math-ph2006★ 7 cited

The Casimir Effect for Parallel Plates Revisited

N. A. Kawakami, M. C. Nemes, W. F. Wreszinski

The Casimir effect for a massless scalar field with Dirichlet and periodic boundary conditions (b.c.) on infinite parallel plates is revisited in the local quantum field theory (lq…

math-ph2006★ 1 cited

Decay Properties of the Connectivity for Mixed Long Range Percolation Models on

Gastao A. Braga, Leandro M. Cioletti, Remy Sanchis

In this short note we consider mixed short-long range independent bond percolation models on . Let be the probability that the edge will be open. Allowin…

math-ph2006★ 80 cited

Cluster expansion for abstract polymer models. New bounds from an old approach

Roberto Fernandez, Aldo Procacci

We revisit the classical approach to cluster expansions, based on tree graphs, and establish a new convergence condition that improves those by Kotecky-Preiss and Dobrushin, as we…