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| Natura: | Preprint |
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2022
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| Accesso online: | https://arxiv.org/abs/2206.15142 |
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| _version_ | 1866916164582506496 |
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| author | Miao, Yuan Gritsev, Vladimir Kurlov, Denis V. |
| author_facet | Miao, Yuan Gritsev, Vladimir Kurlov, Denis V. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2206_15142 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The Floquet Baxterisation Miao, Yuan Gritsev, Vladimir Kurlov, Denis V. Mathematical Physics Statistical Mechanics High Energy Physics - Theory Quantum Algebra Quantum Physics 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. |
| title | The Floquet Baxterisation |
| topic | Mathematical Physics Statistical Mechanics High Energy Physics - Theory Quantum Algebra Quantum Physics |
| url | https://arxiv.org/abs/2206.15142 |