62 citations · 221 across the 9 of their papers we have counts for
7 papers · 1 filter
Integrable dissipative exclusion process: Correlation functions and physical properties
N. Crampe, E. Ragoucy, V. Rittenberg +1
We study a one-parameter generalization of the symmetric simple exclusion process on a one dimensional lattice. In addition to the usual dynamics (where particles can hop with equa…
Non-contractible loops in the dense O(n) loop model on the cylinder
F. C. Alcaraz, J. G. Brankov, V. B. Priezzhev +2
A lattice model of critical dense polymers is considered for the finite cylinder geometry. Due to the presence of non-contractible loops with a fixed fugacity , the model…
Directed abelian algebras and their applications to stochastic models
Francisco C. Alcaraz, Vladimir Rittenberg
To each directed acyclic graph (this includes some D-dimensional lattices) one can associate some abelian algebras that we call directed abelian algebras (DAA). On each site of the…
The pair annihilation reaction D + D --> 0 in disordered media and conformal invariance
F. C. Alcaraz, V. Rittenberg
The raise and peel model describes the stochastic model of a fluctuating interface separating a substrate covered with clusters of matter of different sizes, and a rarefied gas of…
One-boundary Temperley-Lieb algebras in the XXZ and loop models
A. Nichols, V. Rittenberg, J. de Gier
We give an exact spectral equivalence between the quantum group invariant XXZ chain with arbitrary left boundary term and the same XXZ chain with purely diagonal boundary terms. Th…
Valence bond ground states in quantum antiferromagnets and quadratic algebras
F. C. Alcaraz, V. Rittenberg
The wave functions corresponding to the zero energy eigenvalue of a one-dimensional quantum chain Hamiltonian can be written in a simple way using quadratic algebras. Hamiltonians…
N-species stochastic models with boundaries and quadratic algebras
F. C. Alcaraz, S. Dasmahapatra, V. Rittenberg
Stationary probability distributions for stochastic processes on linear chains with closed or open ends are obtained using the matrix product Ansatz. The matrices are representatio…