title: Integrable dissipative exclusion process: Correlation functions and physical properties.
abstract: 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 equal rates to the left or to the right with an exclusion constraint), annihilation and creation of pairs can occur. The system is driven out of equilibrium by two reservoirs at the boundaries. In this setting the model is still integrable: it is related to the open XXZ spin chain through a gauge transformation. This allows us to compute the full spectrum of the Markov matrix using Bethe equations. We also show that the stationary state can be expressed in a matrix product form permitting to compute the multipoints correlation functions as well as the mean value of the lattice and the creation-annihilation currents. Finally, the variance of the lattice current is computed for a finite-size system. In the thermodynamic limit, it matches the value obtained from the associated macroscopic fluctuation theory.
authors.affiliation: Laboratoire Charles Coulomb (L2C), UMR 5221 CNRS-Université de Montpellier, Montpellier, F-France.
authors.forename: N
authors.initials: N
authors.lastname: Crampe
authors.affiliation: Laboratoire de Physique Théorique LAPTh, CNRS and Université de Savoie, 9 chemin de Bellevue, BP 110, F-74941 Annecy-le-Vieux Cedex, France.
authors.forename: E
authors.initials: E
authors.lastname: Ragoucy
authors.affiliation: Physikalisches Institut der Universitaet Bonn, Nussallee 12 D-53115 Bonn, Federal Republic of Germany.
authors.forename: V
authors.initials: V
authors.lastname: Rittenberg
authors.affiliation: Laboratoire de Physique Théorique LAPTh, CNRS and Université de Savoie, 9 chemin de Bellevue, BP 110, F-74941 Annecy-le-Vieux Cedex, France.
authors.forename: M
authors.initials: M
authors.lastname: Vanicat