1. Bipartite reweight-annealing algorithm to extract large-scale data of entanglement entropy and its derivative in high precision
- Author
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Wang, Zhe, Wang, Zhiyan, Ding, Yi-Ming, Mao, Bin-Bin, and Yan, Zheng
- Subjects
Condensed Matter - Strongly Correlated Electrons ,Condensed Matter - Statistical Mechanics ,High Energy Physics - Theory ,Physics - Computational Physics ,Quantum Physics - Abstract
We propose a quantum Monte Carlo (QMC) scheme able to extract large-scale data of entanglement entropy (EE) and its derivative with high precision and low technical barrier. We avoid directly computing the overlap of two partition functions within different spacetime manifolds and instead obtain them separately via reweight-annealing scheme. The incremental process can be designed along the path of real physical parameters in this frame, and all intermediates are EEs of corresponding parameters, so the algorithm efficiency is improved by more than $10^4$ of times. The calculation of EE becomes much cheaper and simpler. It opens a way to numerically detect the novel phases and phase transitions by scanning EE in a wide parameter-region in two and higher dimensional systems. We then show the feasibility of using EE and its derivative to find phase transition points and to probe novel phases.
- Published
- 2024