Asymptotic quantum many-body scars in spin models with Dzyaloshinskii-Moriya interaction realized in Rydberg atom arrays

Quantum many-body scars (QMBS) are quantum states that violate the eigenstate thermalization hypothesis. Recently, a novel type of QMBS called asymptotic quantum many-body scars (AQMBS) has been found [1]. AQMBS exhibit the following properties: (i) they are orthogonal to any exact QMBS, (ii) they have low entanglement entropy, and (iii) their energy variance vanishes in the thermodynamic limit. Due to property (iii), the relaxation time diverges in the thermodynamic limit, resulting in nonergodic behavior. We construct AQMBS in quantum spin models with Dzyaloshinskii-Moriya interactions [2], which can be experimentally realized using Rydberg atom quantum simulators [3]. In this talk, we will present details of the analytical construction of AQMBS and discuss numerical results obtained using matrix product state methods.

[1] L. Gotta, S. Moudgalya, and L. Mazza, Phys. Rev. Lett. 131, 190401 (2023).

[2] S. Kodama, A. Tanaka, and Y. Kato, Phys. Rev. B 107, 024403 (2023).

[3] M. Kunimi, T. Tomita, H. Katsura, and Y. Kato, Phys. Rev. A 110, 043312 (2024).