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Journal Article

Analytical continuation of spectral data from imaginary time axis to real frequency axis using statistical sampling

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Vafayi,  K.
Former Departments, Max Planck Institute for Solid State Research, Max Planck Society;

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Gunnarsson,  O.
Former Departments, Max Planck Institute for Solid State Research, Max Planck Society;
Department Electronic Structure Theory (Ali Alavi), Max Planck Institute for Solid State Research, Max Planck Society;
Department Nanoscale Science (Klaus Kern), Max Planck Institute for Solid State Research, Max Planck Society;

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Citation

Vafayi, K., & Gunnarsson, O. (2007). Analytical continuation of spectral data from imaginary time axis to real frequency axis using statistical sampling. Physical Review B, 76(3): 035115.


Cite as: https://hdl.handle.net/21.11116/0000-000F-0187-7
Abstract
We present a method for performing analytical continuation of spectral data from imaginary time to real frequencies based on a statistical sampling method. Compared with the maximum entropy method (MEM), an advantage is that no default model needs to be introduced. For the problems studied here, the statistical sampling method gives comparable or slightly better results than MEM using quite accurate default models.