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Simulation of quantum spin dynamics by phase space sampling of Bogoliubov-Born-Green-Kirkwood-Yvon trajectories

机译:Bogoliubov-Born-Green-Kirkwood-Yvon轨迹的相空间采样模拟量子自旋动力学

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摘要

A numerical method, suitable for the simulation of the time evolution of quantum spin models of arbitrary lattice dimension, is presented. The method combines sampling of the Wigner function with evolution equations obtained from the Bogoliubov-Born-Green-Kirkwood-Yvon (BBGKY) hierarchy. Quantum correlations are treated through both the Wigner function sampling and the BBGKY evolution, bringing about highly accurate estimates of correlation functions. The method is particularly suitable for long-range interacting systems, and we demonstrate its power by comparing with exact results as well as other numerical methods. As an application we compute spin squeezing in a frustrated two-dimensional lattice with antiferromagnetic power-law interactions and a transverse field, making predictions pertinent to future ion trap experiments.
机译:提出了一种适合于模拟任意晶格尺寸的量子自旋模型的时间演化的数值方法。该方法将Wigner函数的采样与从Bogoliubov-Born-Green-Kirkwood-Yvon(BBGKY)层次结构获得的演化方程相结合。量子相关性通过维格纳函数采样和BBGKY演化进行处理,从而实现了对相关函数的高度准确的估计。该方法特别适用于远程交互系统,我们通过与精确结果以及其他数值方法进行比较来证明其功能。作为一种应用,我们在具有反铁磁幂律相互作用和横向场的受挫二维晶格中计算自旋压缩,从而做出与未来离子阱实验有关的预测。

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  • 来源
    《Physical review》 |2016年第17期|174302.1-174302.10|共10页
  • 作者单位

    National Institute for Theoretical Physics, Stellenbosch 7600, South Africa;

    National Institute for Theoretical Physics, Stellenbosch 7600, South Africa;

    National Institute for Theoretical Physics, Stellenbosch 7600, South Africa,Institute of Theoretical Physics, University of Stellenbosch, Stellenbosch 7600, South Africa;

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