Trieste Quantum Seminar Series:

On the integrability of the deformed Rule 54 model

Dr. Chiara Paletta
Department of Physics, University of Ljubljana, Slovenia

Abstract: I will discuss the integrability property of a stochastic and quantum deformation of the Rule 54 cellular automaton the simplest microscopic (deterministic) reversible model in 1+1 discrete space and time dimensions with strong local interactions.

First, I will introduce the Rule 54 model and its two deformations:

• In the stochastic case, I couple the system to stochastic boundary reservoirs and show that the resulting non equilibrium steady states can be constructed explicitly in matrix product form.
• In the quantum case, I explain how the model can be embedded into the Yang-Baxter integrability framework It turns out that Yang Baxter integrability is more common than previously thought!

Based on ongoing work with T. Prosen.