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首页> 外文期刊>Physical Review X >Imaginary-Time Matrix Product State Impurity Solver for Dynamical Mean-Field Theory
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Imaginary-Time Matrix Product State Impurity Solver for Dynamical Mean-Field Theory

机译：动态均场理论的虚时矩阵乘积状态杂质求解器

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摘要

We present a new impurity solver for dynamical mean-field theory based on imaginary-time evolution of matrix product states. This converges the self-consistency loop on the imaginary-frequency axis and obtains real-frequency information in a final real-time evolution. Relative to computations on the real-frequency axis, required bath sizes are much smaller and no entanglement is generated, so much larger systems can be studied. The power of the method is demonstrated by solutions of a three-band model in the single- and two-site dynamical mean-field approximation. Technical issues are discussed, including details of the method, efficiency as compared to other matrix-product-state-based impurity solvers, bath construction and its relation to real-frequency computations and the analytic continuation problem of quantum Monte?Carlo methods, the choice of basis in dynamical cluster approximation, and perspectives for off-diagonal hybridization functions.
机译：我们基于矩阵乘积态的虚时演化，提出了一种用于动力学平均场理论的新型杂质求解器。这将自洽环收敛在虚频轴上，并在最终的实时演化过程中获得实频信息。相对于实际频率轴上的计算，所需的浴槽尺寸要小得多，并且不会产生纠缠，因此可以研究更大的系统。通过在单站点和两站点动态平均场近似中的三频带模型的解证明了该方法的强大功能。讨论了技术问题，包括方法的详细信息，与其他基于矩阵产品状态的杂质求解器相比的效率，浴池结构及其与实际频率计算的关系以及量子蒙特卡洛方法的解析连续性问题，选择方法动态聚类近似的基础和非对角杂交功能的观点。

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