The Floquet Baxterisation

• URL: http://arxiv.org/abs/2206.15142v2
• Date: Tue, 9 Jan 2024 02:13:00 GMT
• Title: The Floquet Baxterisation
• Authors: Yuan Miao, Vladimir Gritsev, Denis V. Kurlov
• Abstract summary: We construct a generic framework for integrable quantum circuits using Floquet Baxterisation. We demonstrate the dynamical anti-unitary symmetry breaking in the easy-plane regime.
• Score: 0.36448362316632116
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Quantum integrability has proven to be a useful tool to study quantum many-body systems out of equilibrium. In this paper we construct a generic framework for integrable quantum circuits through the procedure of Floquet Baxterisation. The integrability is guaranteed by establishing a connection between Floquet evolution operators and inhomogeneous transfer matrices obtained from the Yang-Baxter relations. This allows us to construct integrable Floquet evolution operators with arbitrary depths and various boundary conditions. Furthermore, we focus on the example related to the staggered 6-vertex model. In the scaling limit we establish a connection of this Floquet protocol with a non-rational conformal field theory. Employing the properties of the underlying affine Temperley--Lieb algebraic structure, we demonstrate the dynamical anti-unitary symmetry breaking in the easy-plane regime. We also give an overview of integrability-related quantum circuits, highlighting future research directions.

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