The Floquet Baxterisation
Yuan Miao, Vladimir Gritsev, Denis V. Kurlov
SciPost Phys. 16, 078 (2024) · published 18 March 2024
- doi: 10.21468/SciPostPhys.16.3.078
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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.
Cited by 2
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 Yuan Miao,
- 2 3 Vladimir Gritsev,
- 3 Denis V. Kurlov
- 1 Galileo Galilei Institute for Theoretical Physics [GGI]
- 2 Institute of Physics, University of Amsterdam [IoP, UvA]
- 3 Международный центр квантовой оптики и квантовых технологий / Russian Quantum Center