TY - JOUR
T1 - Measuring Rényi entanglement entropy with high efficiency and precision in quantum Monte Carlo simulations
AU - Zhao, Jiarui
AU - Chen, Bin Bin
AU - Wang, Yan Cheng
AU - Yan, Zheng
AU - Cheng, Meng
AU - Meng, Zi Yang
N1 - Publisher Copyright:
© 2022, The Author(s).
PY - 2022/12
Y1 - 2022/12
N2 - We develop a nonequilibrium increment method in quantum Monte Carlo simulations to obtain the Rényi entanglement entropy of various quantum many-body systems with high efficiency and precision. To demonstrate its power, we show the results on a few important yet difficult (2 + 1)d quantum lattice models, ranging from the Heisenberg quantum antiferromagnet with spontaneous symmetry breaking, the quantum critical point with O(3) conformal field theory (CFT) to the toric code Z2 topological ordered state and the Kagome Z2 quantum spin liquid model with frustration and multi-spin interactions. In all these cases, our method either reveals the precise CFT data from the logarithmic correction or extracts the quantum dimension in topological order, from the dominant area law in finite-size scaling, with very large system sizes, controlled errorbars, and minimal computational costs. Our method, therefore, establishes a controlled and practical computation paradigm to obtain the difficult yet important universal properties in highly entangled quantum matter.
AB - We develop a nonequilibrium increment method in quantum Monte Carlo simulations to obtain the Rényi entanglement entropy of various quantum many-body systems with high efficiency and precision. To demonstrate its power, we show the results on a few important yet difficult (2 + 1)d quantum lattice models, ranging from the Heisenberg quantum antiferromagnet with spontaneous symmetry breaking, the quantum critical point with O(3) conformal field theory (CFT) to the toric code Z2 topological ordered state and the Kagome Z2 quantum spin liquid model with frustration and multi-spin interactions. In all these cases, our method either reveals the precise CFT data from the logarithmic correction or extracts the quantum dimension in topological order, from the dominant area law in finite-size scaling, with very large system sizes, controlled errorbars, and minimal computational costs. Our method, therefore, establishes a controlled and practical computation paradigm to obtain the difficult yet important universal properties in highly entangled quantum matter.
UR - https://www.scopus.com/pages/publications/85133137490
U2 - 10.1038/s41535-022-00476-0
DO - 10.1038/s41535-022-00476-0
M3 - 文章
AN - SCOPUS:85133137490
SN - 2397-4648
VL - 7
JO - npj Quantum Materials
JF - npj Quantum Materials
IS - 1
M1 - 69
ER -