Guaranteed Accuracy Formalism for Imaginary Time Calculations
ORAL
Abstract
Finite-temperature Green's function calculations of quantum systems are frequently performed in the Matsubara formalism, with calculation steps alternating between imaginary time steps (e.g. solution of a lattice model) and Matsubara frequencies (e.g. solution of a Dyson equation). In large systems, these transforms and the ill-conditioned nature of the Matsubara equations often lead to the amplification of small roundoff and cutoff errors.
In this talk I will show how calculations can be performed in imaginary time only. Error accumulation from Fourier transforms can thereby be avoided, and accuracy guarantees can be given for all calculation steps.
In this talk I will show how calculations can be performed in imaginary time only. Error accumulation from Fourier transforms can thereby be avoided, and accuracy guarantees can be given for all calculation steps.
*This work was funded by the Simons foundation via the Simons Collaboration on the Many-Electron Problem.
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Presenters
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Emanuel Gull
- Univ of Michigan - Ann Arbor
- Physics, Univ of Michigan - Ann Arbor
- Physics, University Of Michigan
- Univ of Michigan
- Physics and Astronomy, University of Michigan
- Physics, Univ of Michigan
- University of Michigan
- Department of Physics, University of Michigan
- Physics, University of Michigan