Title: Proposal for simulating quantum spin models with Dzyaloshinskii-Moriya interaction using Rydberg atoms, and construction of asymptotic quantum many-body scar states
Date: Jul 1, 2024
Time: 10:30 - 11:30
Speaker: Prof. Masaya Kunimi
Affiliation: Tokyo University of Science
Abstract: Recent progress in quantum technology has made quantum simulations possible for various platforms. In particular, the Rydberg atom quantum simulators have attracted much attention. In these simulators, highly controllable quantum spin models can be realized experimentally owing to their strong interaction and optical tweezers technique [1]. In the first part of this seminar, I will talk about our proposal for simulating quantum spin models with Dzyaloshinskii-Moriya (DM) interactions using Rydberg atoms [2]. As a particular case, we show that a quantum spin model called the DH model [3], which consists of the DM interaction and the Zeeman energy term, can be realized within our proposal. In the second part, I will discuss results on quantum many-body scar states (QMBS) in the DH model, which are special eigenstates of the nonintegrable Hamiltonian and violate the eigenstate thermalization hypothesis [4]. We prove the existence of QMBS states in the DH model [2]. In addition, we show that the recently proposed asymptotic QMBS (AQMBS) states [5] also exist in the DH model [2]. The AQMBS states have the property that the energy variance goes to zero in the thermodynamic limit. From this property, thermalization does not happen in the thermodynamic limit when the initial state is the AQMBS state. In this seminar, I will present the analytical construction of the AQMBS states of the DH model and numerical results based on the matrix product states method.

[1] A. Browaeys and T. Lahaye, Nature Phys. 16, 132 (2020).
[2] MK, T. Tomita, H. Katsura, and Y. Kato, arXiv:2306.05591 (2023).
[3] S. Kodama et al., Phys. Rev. B 107, 024403 (2023).
[4] C. J. Turner et al., Phys. Rev. B 98, 155134 (2018).
[5] L. Gotta et al., Phys. Rev. Lett. 131, 190401 (2023).