论文标题
Rydberg激子中空间调节的自旋1链的磁相：经典和量子模拟
Magnetic Phases of Spatially-Modulated Spin-1 Chains in Rydberg Excitons: Classical and Quantum Simulations
论文作者
论文摘要
在这项工作中，我们研究了Spin-1 Rydberg激子的空间调节链的磁相。使用密度矩阵重新归一化组（DMRG）技术，我们使用单粒子特性（例如局部磁化和量子熵）以及多体元素以及诸如成对的néel和远程字符串相关性研究了各种磁性和拓扑相的相关。特别是，我们研究了Haldane阶段的出现和鲁棒性，Haldane阶段是抗铁磁性自旋1链的拓扑阶段。此外，我们设计了一种使用受限的玻尔兹曼机器来模拟这种系统的基态的混合量子算法，该系统与精确的对角线化（ED）和DMRG的结果非常吻合。
In this work, we study the magnetic phases of a spatially-modulated chain of spin-1 Rydberg excitons. Using the Density Matrix Renormalization Group (DMRG) technique we study various magnetic and topologically nontrivial phases using both single-particle properties like local magnetization and quantum entropy as well as many-body ones like pair-wise Néel and long-range string correlations. In particular, we investigate the emergence and robustness of Haldane phase, a topological phase of anti-ferromagnetic spin-1 chains. Further, we devise a hybrid quantum algorithm employing Restricted Boltzmann Machine to simulate the ground state of such a system which shows very good agreement with the results of exact diagonalization (ED) and DMRG.
