Talk on 10/24/2018

This topic contains 3 replies, has 1 voice, and was last updated by  rowland.208 11 months, 3 weeks ago.

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  • #470

    rowland.208
    Keymaster

    Nirav will give a journal club talk on 10/24/2018. The title is “Density Matrix Renormalization Group and its applications.” Feel free to discuss the talk in this forum.

    • This topic was modified 1 year ago by  rowland.208.
    • This topic was modified 12 months ago by  rowland.208.
  • #495

    rowland.208
    Keymaster

    Main reference for the talk is
    https://www.springer.com/us/book/9783642351051

  • #496

    rowland.208
    Keymaster

    Improvements needed for production level code:

    1) Sparse Matrix Algebra.
    Intel or Eigen Libraries
    2) Lanczos or Davidson iterative power method to find the ground-state
    of superblock.
    E. Dagotto, Rev. Mod
    Phys. 66, 763 (1994)
    3) Hlvs multiplication “onFly” without creating the Hamitonian of the
    superblock.
    4) Wave-function transformation (Prediction)
    to approximate the ground-state
    of next DMRG step.
    S. R. White, Phys. Rev.
    Lett. 77, 3633 (1996)
    5) Use Symmetries of the Hamiltonian.
    translation invariance
    6) Parallelization using multiple cores (OpenMP, pthreads), or using
    multiple nodes (OpenMPl) or both.
    E. M. Stoudenmire
    et al., Phys. Rev. B
    87, 155137 (2013)

  • #514

    rowland.208
    Keymaster

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