Proposal for experimental realization of quantum spin chains with quasiperiodic interaction using Rydberg atoms

Quantum simulators provide ideal platforms for studying nonequilibrium dynamics in isolated quantum systems, such as many-body localization (MBL) in disordered interacting systems [1]. MBL is an important phenomenon for revealing fundamental properties of the thermalization of closed quantum systems, although there is considerable debate about its stability in the thermodynamic limit [2]. However, it is difficult to investigate the MBL with classical computers due to the large dimension of the Hilbert space. Hence, collaboration with experimental research is crucial.

Recently, a novel localization phenomenon called the "many-body critical(MBC)" regime has been shown in some quasiperiodic systems [3]. It is natural to investigate the fate of the MBC against the scaling of system size. However, there are no experiments on the MBC regime.

In this talk, we propose a quantum spin model where such phenomena were confirmed with a scheme for experimental realization using Rydberg atoms [4]. We also show some results of our numerical calculations.

[1] R. Nandkishore and D. A. Huse, Annu. Rev. Condens. Matter Phys. 6, 15 (2015).

[2] J. Šuntajs et al., Phys. Rev. E 102, 062144 (2020).

[3] Y. Wang et al., Phys. Rev. Lett. 126, 080602 (2021).

[4] T. Yoshida et al., arXiv:2409.08497 (2024).