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The boundary-driven multispecies harmonic process
Francesco Casini, Rouven Frassek, Cristian GiardinÃ
The paper introduces a multispecies harmonic process on a one‑dimensional lattice with boundary reservoirs, linking its Markov generator to an integrable open rational Heisenberg s…
Intertwining Markov Processes via Matrix Product Operators
Rouven Frassek, Jan de Gier, Jimin Li +1
Duality transformations reveal unexpected equivalences between seemingly distinct models. We introduce an out-of-equilibrium generalisation of matrix product operators to implement…
Steady state representations for the harmonic process
Rouven Frassek
In this note we discuss how the matrix product solution for the steady state of the harmonic process is obtained from the solutions already known in the literature, i.e. the closed…
Non-compact quantum spin chains as integrable stochastic particle processes
Rouven Frassek, Cristian GiardinÃ, Jorge Kurchan
In this paper we discuss a family of models of particle and energy diffusion on a one-dimensional lattice, related to those studied previously in [Sasamoto-Wadati], [Barraquand-Cor…
Exact solution of an integrable non-equilibrium particle system
Rouven Frassek, Cristian GiardinÃ
We consider the integrable family of symmetric boundary-driven interacting particle systems that arise from the non-compact XXX Heisenberg model in one dimension with open boundari…