69 citations · 609 across the 29 of their papers we have counts for
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Matrix product solution to a 2-species TASEP with open integrable boundaries
N. Crampe, M. R. Evans, K. Mallick +2
We present an explicit representation for the matrix product ansatz for some two-species TASEP with open boundary conditions. The construction relies on the integrability of the mo…
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…
Inhomogeneous discrete-time exclusion processes
N. Crampe, K. Mallick, E. Ragoucy +1
We study discrete time Markov processes with periodic or open boundary conditions and with inhomogeneous rates in the bulk. The Markov matrices are given by the inhomogeneous trans…
Open two-species exclusion processes with integrable boundaries
N. Crampe, K. Mallick, E. Ragoucy +1
We give a complete classification of integrable Markovian boundary conditions for the asymmetric simple exclusion process with two species (or classes) of particles. Some of these…
Thermodynamical limit of general gl(N) spin chains II: Excited states and energies
N. Crampe, L. Frappat, E. Ragoucy
We consider the thermodynamical limit of a gl(N) spin chain with arbitrary representation at each site of the chain. We consider excitations (with holes and new strings) above the…
Thermodynamical limit of general gl(N) spin chains: vacuum state and densities
N. Crampe, L. Frappat, E. Ragoucy
We study the vacuum state of spin chains where each site carry an arbitrary representation. We prove that the string hypothesis, usually used to solve the Bethe ansatz equations, i…