Study of quantum correlation and topological order in low-dimensional quantum spin systems

2016 Fiscal Year Final Research Report

• Project/Area Number: 26400384
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Mathematical physics/Fundamental condensed matter physics
• Research Institution: The University of Tokyo
• Principal Investigator: Todo Synge 東京大学, 大学院理学系研究科(理学部), 准教授 (10291337)
• Project Period (FY): 2014-04-01 – 2017-03-31
• Keywords: 計算物理 / 量子モンテカルロ / トポロジカル秩序 / 量子スピン系 / 量子相転移 / 動的臨界現象 / 長距離相互作用

Outline of Final Research Achievements

We have extended "topological order parameter," which characterizes various quantum states and novel quantum phase transitions in low-dimensional quantum spin systems, to high dimensions, and developed methods for measuring these order parameters with high accuracy. We have also combined the Monte Carlo method with machine learning technique, which enables precise analysis of dynamical critical phenomena. We have performed large-scale quantum Monte Carlo simulations and analyzed various quantum phase transitions and quantum states.

Free Research Field

計算物理、統計物理、物性基礎論