A Floquet-Rydberg quantum simulator for confinement in $\mathbb{Z}_2$ gauge theories
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866911244520259584 |
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| author | Domanti, Enrico C. Zappalà, Dario Bermudez, Alejandro Amico, Luigi |
| author_facet | Domanti, Enrico C. Zappalà, Dario Bermudez, Alejandro Amico, Luigi |
| contents | Recent advances in the field of quantum technologies have opened up the road for the realization of small-scale quantum simulators of lattice gauge theories which, among other goals, aim at improving our understanding on the non-perturbative mechanisms underlying the confinement of quarks. In this work, considering periodically-driven arrays of Rydberg atoms in a tweezer ladder geometry, we devise a scalable Floquet scheme for the quantum simulation of the real-time dynamics in a $\mathbb{Z}_2$ LGT. Resorting to an external magnetic field to tune the angular dependence of the Rydberg dipolar interactions, and by a suitable tuning of the driving parameters, we manage to suppress the main gauge-violating terms, and show that an observation of gauge-invariant confinement dynamics in the Floquet-Rydberg setup is at reach of current experimental techniques. Depending on the lattice size, we present a thorough numerical test of the validity of this scheme using either exact diagonalization or matrix-product-state algorithms for the periodically-modulated real-time dynamics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_16758 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A Floquet-Rydberg quantum simulator for confinement in $\mathbb{Z}_2$ gauge theories Domanti, Enrico C. Zappalà, Dario Bermudez, Alejandro Amico, Luigi Quantum Gases High Energy Physics - Lattice Quantum Physics Recent advances in the field of quantum technologies have opened up the road for the realization of small-scale quantum simulators of lattice gauge theories which, among other goals, aim at improving our understanding on the non-perturbative mechanisms underlying the confinement of quarks. In this work, considering periodically-driven arrays of Rydberg atoms in a tweezer ladder geometry, we devise a scalable Floquet scheme for the quantum simulation of the real-time dynamics in a $\mathbb{Z}_2$ LGT. Resorting to an external magnetic field to tune the angular dependence of the Rydberg dipolar interactions, and by a suitable tuning of the driving parameters, we manage to suppress the main gauge-violating terms, and show that an observation of gauge-invariant confinement dynamics in the Floquet-Rydberg setup is at reach of current experimental techniques. Depending on the lattice size, we present a thorough numerical test of the validity of this scheme using either exact diagonalization or matrix-product-state algorithms for the periodically-modulated real-time dynamics. |
| title | A Floquet-Rydberg quantum simulator for confinement in $\mathbb{Z}_2$ gauge theories |
| topic | Quantum Gases High Energy Physics - Lattice Quantum Physics |
| url | https://arxiv.org/abs/2311.16758 |