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20142020
most citedIntegrable Trotterization: Local Conservation Laws and Boundary Driving

137 citations · 515 across the 21 of their papers we have counts for

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Showing 2017Show all

5 papers · 1 filter

cond-mat.stat-mech2017★ 11 cited

Matrix product solution to multi-species ASEP with open boundaries

C. Finn, E. Ragoucy, M. Vanicat

We study a class of multi-species ASEP with open boundaries. The boundaries are chosen in such a way that all species of particles interact non-trivially with the boundaries and ar…

cond-mat.stat-mech2017★ 137 cited

Integrable Trotterization: Local Conservation Laws and Boundary Driving

Matthieu Vanicat, Lenart Zadnik, Tomaž Prosen

We discuss a general procedure to construct an integrable real-time trotterization of interacting lattice models. As an illustrative example we consider a spin- chain, with co…

math-ph2017★ 19 cited

Integrable Floquet dynamics, generalized exclusion processes and "fused" matrix ansatz

Matthieu Vanicat

We present a general method for constructing integrable stochastic processes, with two-step discrete time Floquet dynamics, from the transfer matrix formalism. The models can be in…

math-ph2017

Back to baxterisation

N. Crampe, E. Ragoucy, M. Vanicat

In the continuity of our previous paper arXiv:1509.05516, we define three new algebras, , and , that are close to the braid algebra. They allow to buil…

math-ph2017★ 3 cited

An integrabilist approach of out-of-equilibrium statistical physics models

Matthieu Vanicat

In the first part of the thesis we construct models, called integrable, in which we can perform exact computations of physical quantities. We introduce several new out-of-equilibri…