The Floquet Baxterisation

• Published in: SciPost physics Vol. 16; no. 3; p. 078
• Main Authors: Miao, Yuan, Gritsev, Vladimir, Kurlov, Denis V.
• Format: Journal Article
• Language: English
• Published: SciPost 01.03.2024
• ISSN: 2542-4653; 2542-4653
• DOI: 10.21468/SciPostPhys.16.3.078

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.