libdlr: Efficient imaginary time calculations using the discrete Lehmann representation

libdlr: Efficient imaginary time calculations using the discrete Lehmann representation
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libdlr:使用离散莱曼表示的高效虚数时间计算

DOI:
10.1016/j.cpc.2022.108458
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发表时间:
2021
期刊:
Comput. Phys. Commun.
影响因子:
--
通讯作者:
H. Strand
H. Strand
中科院分区:
--
文献类型:
--
作者:
Jason Kaye;H. Strand

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我们介绍elibdlr,一个库实现最近推出的离散莱曼表示(DLR)虚时间绿色的功能。DLR基由插值分解选择的指数集合组成,以确保从虚时间或松原频率样本稳定和有效地恢复绿色函数。该库提供子程序来构建DLR基础和网格,并执行各种标准操作。DLR的简单性使得它可以直接合并到现有的代码中,以替代虚时绿色函数的效率较低的表示,libdlris旨在促进这一过程。我们还介绍了一个独立的Julia实现,Lehmann.jl。程序摘要程序标题:libdlrCPC库程序文件链接:https://doi.org/10.17632/56z594pzsj.1开发人员的存储库链接:https://github.com/jasonkaye/libdlrLicensing规定:Apache-2.0编程语言:Fortran,C,Python,Julia问题的性质:函数的离散化和压缩(绿色的函数和自能)与虚时间变量。解决方法:显式基函数和离散化点通过低秩压缩的分析连续内核获得。
We introducelibdlr, a library implementing the recently introduced discrete Lehmann representation (DLR) of imaginary time Green's functions. The DLR basis consists of a collection of exponentials chosen by the interpolative decomposition to ensure stable and efficient recovery of Green's functions from imaginary time or Matsubara frequency samples. The library provides subroutines to build the DLR basis and grids, and to carry out various standard operations. The simplicity of the DLR makes it straightforward to incorporate into existing codes as a replacement for less efficient representations of imaginary time Green's functions, andlibdlris intended to facilitate this process.libdlris written in Fortran, provides a C header interface, and contains a Python modulepydlr. We also introduce a stand-alone Julia implementation,Lehmann.jl.Program summaryProgram Title: libdlrCPC Library link to program files:https://doi.org/10.17632/56z594pzsj.1Developer's repository link:https://github.com/jasonkaye/libdlrLicensing provisions:Apache-2.0Programming language:Fortran, C, Python, JuliaNature of problem:Discretization and compression of functions (Green's functions and self-energies) with an imaginary time variable.Solution method:Explicit basis functions and discretization points obtained by low rank compression of the analytical continuation kernel.
DOI: 10.1103/revmodphys.83.349
发表时间: 2011-05-05
影响因子: 44.1
作者:
Gull, Emanuel;Millis, Andrew J.;Werner, Philipp
通讯作者: Werner, Philipp