TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.16.3.078
TI  - The Floquet Baxterisation
PY  - 2024/03/18
UR  - https://scipost.org/SciPostPhys.16.3.078
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 16
IS  - 3
SP  - 078
A1  - Miao, Yuan
AU  - Gritsev, Vladimir
AU  - Kurlov, Denis V.
AB  - 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.
ER  -

@Article{10.21468/SciPostPhys.16.3.078,
	title={{The Floquet Baxterisation}},
	author={Yuan Miao and Vladimir Gritsev and Denis V. Kurlov},
	journal={SciPost Phys.},
	volume={16},
	pages={078},
	year={2024},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.16.3.078},
	url={https://scipost.org/10.21468/SciPostPhys.16.3.078},
}