Proposal for realizing quantum spin models with Dzyaloshinskii-Moriya interaction using Rydberg atoms

Recently, quantum simulators using Rydberg atoms have attracted much attention. Various quantum spin models, such as Ising [1], XY [2], and XXZ [3] models have been realized experimentally. In this work, we propose a method for realizing highly controllable quantum spin models with Dzyaloshinskii-Moriya interaction (DMI) in Rydberg atom quantum simulators [4]. Our scheme is based on a two-photon Raman transition and transformation to the spin-rotating frame. The advantage of our scheme is that the ratio between the exchange interaction and DMI can be tuned in a wide range. We investigate the quantum dynamics of the Hamiltonian that includes only the DMI and magnetic field term, dubbed the DH model [5]. We show that the dynamics are quite different from the classical case. That is, the magnetization curve becomes smooth as a function of the magnetic field in contrast to the classical case. We also find that the DH model has quantum many-body scar states under the periodic boundary condition and the open boundary condition with the edge magnetic field.

[1]H. Bernien, et al.,  Nature 551, 579 (2017).

[2]S. de Léséleuc, et al, Phys. Rev. Lett. 120, 113602 (2018).

[3]A. Signoles, et al., Phys. Rev. X 11, 011011 (2021).

[4]M. Kunimi, et al., arXiv:2306.05591 (2023).

[5]S. Kodama, et al., Phys. Rev. B 107, 024403 (2023).