11th Bologna Workshop on Conformal Field Theory and Integrable Models

Detect algebraic integrability of the (deformed) Rule 54 model

3 Sept 2025, 11:55

25m

Aula Magna (Dept. of Physics and Astronomy - University of Bologna)

Talk (25 min) Talks

Speaker

Chiara Paletta (Trinity College Dublin)

Description

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:
1) 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.
2) 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.

Presentation materials

Paletta_11_Bologna.pdf