Time: 15:30-17:30, June 11, 2024
Location: Rm 401, KITS, UCAS
Speaker: Zheng YAN (Westlake University)
Abstract:
Measuring entanglement entropy (EE) to probe the intrinsic physics of quantum many-body systems is an important but challenging topic in condensed matter, high energy and computational physics. Designing quantum Monte Carlo (QMC) algorithm to obtain the Rényi EE is a promising solution in large-scale many-body systems. However, to gain high-precision EE, the QMC-based algorithm for EE becomes more and more complex at the designing level. The entangled region needs being changed during the QMC simulation, and the detailed balance condition becomes more complicated. Moreover, the intermediately incremental processes introduced cannot be exploited neither. In this paper, we propose a simple QMC scheme able to extract EE and its derivative with high-precision, which requires neither changing replica manifold during the simulation nor adding extra detailed balance conditions. All the values measured in the incremental process are the EE under physical parameters, which greatly improves the efficiency. It opens an access to numerically probe the novel phases and phase transitions by scanning EE in a wide parameter-region in 2D and higher dimensional systems. The method has low-technical barrier and is natural for parallel computing. Our algorithm makes it no longer a dream to calculate a large amount of high-precision EE values without complicated techniques and huge computational cost.
About the speaker:
Speaker: Zheng YAN is an Assistant Professor at Westlake University. He received the Bachelor Degree from Dalian University of Technology in 2013 and the Ph.D. in Theoretical Physics from Fudan University in 2019. Thereafter he worked as a Postdoctoral Fellow, then a Research Assistant Professor at the University of Hong Kong. In 2023, he joined the Westlake University as a Principal Investigator. His main research areas are theoretical and numerical studies of quantum many-body physics, as well as related quantum simulation/computing and quantum materials cross-disciplinary research.
