Compact Representation, Compression, Continuation, and Spectra of Response Functions in Time and Frequency

ORAL

Abstract

In this overview talk we will discuss how the well-known analytic structure of response functions can be used in numerical methods to compress their information, to analytically continue them in the complex plane, to extend functions known at short times to long times, to eliminate unphysical noise, and to perform fast calculations in the time and frequency domains. Applications to Monte Carlo and semianalytical data are shown.

*This material is based upon work supported by the National Science Foundation under Grant No. 2310182

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Publication: Andre Erpenbeck, Yuanran Zhu, Yang Yu, Lei Zhang, Richard Gerum, Olga Goulko, Chao Yang, Guy Cohen, Emanuel Gull, arXiv preprint arXiv:2506.13760
L Zhang, A Erpenbeck, Y Yu, E Gull, The Journal of Chemical Physics 162 (21)
L Zhang, Y Yu, E Gull, Physical Review B 110 (23), 235131
D Gazizova, L Zhang, E Gull, JPF LeBlanc, Physical Review B 110 (7), 075158
L Zhang, E Gull, Physical Review B 110 (3), 035154
Y Yu, AF Kemper, C Yang, E Gull, Physical Review Research 6 (3), L032042
AF Kemper, C Yang, E Gull, Physical Review Letters 132 (16), 160403

Presenters

  • Emanuel C Gull

    • University of Michigan & University of Warsaw
    • University of Michigan

Authors

  • Emanuel C Gull

    • University of Michigan & University of Warsaw
    • University of Michigan

  • André Erpenbeck

    • University of Georgia
    • UGA

  • Yuanran Zhu

    • Lawrence Berkeley National Laboratory

  • Chao Yang

    • Lawrence Berkeley Lab
    • Lawrence Berkeley National Lab

  • Yang Yu

    • University of Michigan

  • Lei Zhang

    • University of Michigan

  • Olga Goulko

    • University of Massachusetts Boston

  • Guy Cohen

    • Tel Aviv University

  • Daria Gazizova

    • Memorial University of Newfoundland

  • James P.F. LeBlanc

    • Memorial University of Newfoundland

  • Alexander F Kemper

    • North Carolina State University