Minimax Isometry Method

09/04/2019

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by   Merzuk Kaltak, et al.

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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 and integration and transformation errors are investigated for Si and SrVO_3 .