[Postponed] ]High Energy Theory Seminar: Chiara Paletta
Title: On the integrability of the deformed Rule 54 model
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:
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The quantum deformation makes the model into an interaction-round-a-face brickwork quantum circuit. I will explain how to embed the circuit into the Yang-Baxter integrability framework: by providing an analytical expression for the Lax operator, I will prove that the circuit time evolution operator commutes with a tower of conserved charges.
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In the stochastic case, I couple the system to stochastic boundary reservoirs and show that the resulting nonequilibrium steady states can be constructed explicitly in matrix product form.
Based on upcoming work with T. Prosen.