Minimax Isometry方法：多体微扰理论中Matsubara求和的压缩传感方法
Minimax Isometry Method: A compressive sensing approach for Matsubara summation in many-body perturbation theory
摘要：
针对多体微扰理论中长期存在的松原求和问题，提出了一种压缩传感方法。通过构建低维，几乎等距子空间的希尔伯特空间，我们得到最佳的虚时间和频率网格，允许极端的数据压缩的费米子和玻色子函数在一个广泛的温度制度。将该方法应用于巨势的随机相位和自洽$GW$近似。研究了Si和SrVO $_3$的积分和变换误差。
英文摘要：
We present a compressive sensing approach for the long standing problem of Matsubara summation in many-body perturbation theory. By constructing low-dimensional, almost isometric subspaces of the Hilbert space we obtain optimum imaginary time and frequency grids that allow for extreme data compression of fermionic and bosonic functions in a broad temperature regime. The method is applied to the random phase and self-consistent $GW$ approximation of the grand potential. Integration and transformation errors are investigated for Si and SrVO$_3$.
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