Talk on 10/24/2018

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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 5 years, 11 months ago by rowland.208.
      • This topic was modified 5 years, 11 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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