4.6 Article

Compressing Green's function using intermediate representation between imaginary- ime and real-frequency domains

Journal

PHYSICAL REVIEW B
Volume 96, Issue 3, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.96.035147

Keywords

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Funding

  1. JSPS KAKENHI [16H01064, 16K17735, 26800172, 16H01059, 16H04382]
  2. MEXT KAKENHI [25120008]
  3. JST CREST
  4. Building of Consortia for the Development of Human Resources in Science and Technology, MEXT, Japan
  5. Grants-in-Aid for Scientific Research [16K13849, 16K17735, 16H01064, 16H04382, 16H01059, 26800172, 15H03699] Funding Source: KAKEN

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Model-independent compact representations of imaginary-time data are presented in terms of the intermediate representation (IR)of analytical continuation. We demonstrate the efficiency of the IR through continuous-time quantum Monte Carlo calculations of an Anderson impurity model. We find that the IR yields a significantly compact form of various types of correlation functions. This allows the direct quantum Monte Carlo measurement of Green's functions in a compressed form, which considerably reduces the computational cost and memory usage. Furthermore, the present framework will provide general ways to boost the power of cutting- edge diagrammatic/quantum Monte Carlo treatments of many-body systems.

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