Resummation-based quantum Monte Carlo for entanglement entropy computation,Physical Review B

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Resummation-based quantum Monte Carlo for entanglement entropy computation
Physical Review B ( IF 3.2 ) Pub Date : 2024-09-10 , DOI: 10.1103/physrevb.110.115117
Menghan Song ₁ , Ting-Tung Wang ₁ , Zi Yang Meng ₁

Affiliation

Based on the recently developed resummation-based quantum Monte Carlo method for the

SU (N)

spin and loop-gas models, we developed an algorithm, dubbed ResumEE, to compute the entanglement entropy (EE) with greatly enhanced efficiency. Our ResumEE exponentially speeds up the computation of the exponentially small value of the

〈 e^{- S^{(2)}} 〉

, where

S^{(2)}

is the second-order Rényi EE, such that the

S^{(2)}

for a generic 2D quantum

SU (N)

spin models can be readily computed with high accuracy. We benchmark our algorithm with the previously proposed estimators of

S^{(2)}

on 1D and 2D

SU (2)

Heisenberg spin systems to reveal its superior performance and then use it to detect the entanglement scaling data of the Néel-to-VBS transition on 2D