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We develop a quantum Monte Carlo procedure, in the valence bond basis, to measure the Renyi entanglement entropy of a many-body ground state as the expectation value of a unitary {\it Swap} operator acting on two copies of the system. An…

Strongly Correlated Electrons · Physics 2012-01-18 Matthew B. Hastings , Ivan Gonzalez , Ann B. Kallin , Roger G. Melko

In a recent article T. Grover [Phys. Rev. Lett. 111, 130402 (2013)] introduced a simple method to compute Renyi entanglement entropies in the realm of the auxiliary field quantum Monte Carlo algorithm. Here, we further develop this approach…

Strongly Correlated Electrons · Physics 2014-03-26 Fakher F. Assaad , Thomas C. Lang , Francesco Parisen Toldin

Entanglement measures such as the entanglement entropy have become an indispensable tool to identify the fundamental character of ground states of interacting quantum many-body systems. For systems of interacting spin or bosonic degrees of…

Strongly Correlated Electrons · Physics 2014-08-27 Peter Broecker , Simon Trebst

We develop a nonequilibrium increment method in quantum Monte Carlo simulations to obtain the R\'enyi entanglement entropy of various quantum many-body systems with high efficiency and precision. To demonstrate its power, we show the…

Strongly Correlated Electrons · Physics 2022-07-01 Jiarui Zhao , Bin-Bin Chen , Yan-Cheng Wang , Zheng Yan , Meng Cheng , Zi Yang Meng

We present a method for improving measurements of the entanglement R\'enyi entropies in quantum Monte Carlo simulations by relating them with measurements of participation R\'enyi entropies. Exploiting the capability of building improved…

Strongly Correlated Electrons · Physics 2014-11-11 David J. Luitz , Xavier Plat , Nicolas Laflorencie , Fabien Alet

We present a new algorithm for calculating the Renyi entanglement entropy of interacting fermions using the continuous-time quantum Monte Carlo method. The algorithm only samples interaction correction of the entanglement entropy, which by…

Strongly Correlated Electrons · Physics 2014-09-12 Lei Wang , Matthias Troyer

Entanglement entropy is an essential metric for characterizing quantum many-body systems, but its numerical evaluation for neural network representations of quantum states has so far been inefficient and demonstrated only for the restricted…

Quantum Physics · Physics 2020-12-21 Zhaoyou Wang , Emily J. Davis

Entanglement entropy has been a powerful tool for analyzing phases and criticality in pure ground states via quantum Monte Carlo (QMC). However, mixed-state entanglement, relevant to systems with dissipation, finite temperature, and…

Strongly Correlated Electrons · Physics 2025-06-17 Yi-Ming Ding , Yin Tang , Zhe Wang , Zhiyan Wang , Bin-Bin Mao , Zheng Yan

We introduce a quantum Monte Carlo algorithm to measure the R\'enyi entanglement entropies in systems of interacting bosons in the continuum. This approach is based on a path integral ground state method that can be applied to interacting…

Quantum Gases · Physics 2014-08-05 C. M. Herdman , Stephen Inglis , P. -N. Roy , R. G. Melko , A. Del Maestro

We implement a Wang-Landau sampling technique in quantum Monte Carlo (QMC) for the purpose of calculating the Renyi entanglement entropies and associated mutual information. The algorithm converges an estimate for an analogue to the density…

Statistical Mechanics · Physics 2013-01-23 Stephen Inglis , Roger G. Melko

Quantum magic, or nonstabilizerness, provides a crucial characterization of quantum systems, regarding the classical simulability with stabilizer states. In this work, we propose a novel and efficient algorithm for computing stabilizer…

Quantum Physics · Physics 2025-02-25 Zejun Liu , Bryan K. Clark

A highly efficient and simple to implement Monte Carlo algorithm is proposed for the evaluation of the Renyi entanglement entropy(REE) of quantum dimer model(QDM) at the Rokhsar-Kivelson(R-K) point. It makes possible the evaluation of REE…

Strongly Correlated Electrons · Physics 2021-08-06 Jiquan Pei , Qiang Han , Haijun Liao , Tao Li

Entanglement entropy has become an important theoretical concept in condensed matter physics, because it provides a unique tool for characterizing quantum mechanical many-body phases and new kinds of quantum order. However, the experimental…

Mesoscale and Nanoscale Physics · Physics 2012-07-13 Dmitry A. Abanin , Eugene Demler

We develop a method to calculate the bipartite entanglement entropy of quantum models, in the thermodynamic limit, using a Numerical Linked Cluster Expansion (NLCE) involving only rectangular clusters. It is based on exact diagonalization…

Statistical Mechanics · Physics 2013-05-13 Ann B. Kallin , Katharine Hyatt , Rajiv R. P. Singh , Roger G. Melko

Entanglement of spatial bipartitions, used to explore lattice models in condensed matter physics, may be insufficient to fully describe itinerant quantum many-body systems in the continuum. We introduce a procedure to measure the R\'enyi…

Quantum Gases · Physics 2014-04-23 C. M. Herdman , P. -N. Roy , R. G. Melko , A. Del Maestro

We show that the two recently proposed methods to compute Renyi entanglement entropies in the realm of determinant quantum Monte Carlo methods for fermions are in principle equivalent, but differ in sampling strategies. The analogy allows…

Strongly Correlated Electrons · Physics 2015-04-08 Fakher F. Assaad

Symmetry and entanglement are two fundamental concepts in quantum many-body physics. Their interplay is captured by symmetry-resolved entanglement, which decomposes the total entanglement into contributions from different symmetry sectors.…

Strongly Correlated Electrons · Physics 2026-04-03 Kuangjie Chen , Weizhen Jia , Xiaopeng Li , René Meyer , Jiarui Zhao

Several algorithms have been proposed to calculate the spatial entanglement spectrum from high order Renyi entropies. In this work we present an alternative approach for computing the entanglement spectrum with quantum Monte Carlo for both…

Strongly Correlated Electrons · Physics 2014-09-05 Norm M. Tubman , D. ChangMo Yang

We develop a quantum Monte Carlo procedure to compute the Renyi mutual information of an interacting quantum many-body system at non-zero temperature. Performing simulations on a spin-1/2 XXZ model, we observe that for a subregion of fixed…

Strongly Correlated Electrons · Physics 2010-09-21 Roger G. Melko , Ann B. Kallin , Matthew B. Hastings

Quantum entanglement is fragile to thermal fluctuations, which raises the question whether finite temperature phase transitions support long-range entanglement similar to their zero temperature counterparts. Here we use quantum Monte Carlo…

Strongly Correlated Electrons · Physics 2020-10-07 Kai-Hsin Wu , Tsung-Cheng Lu , Chia-Min Chung , Ying-Jer Kao , Tarun Grover
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