Generic construction of efficient matrix product operators

  title={Generic construction of efficient matrix product operators},
  author={Claudius Hubig and I. P. McCulloch and Ulrich Schollwock},
  journal={Physical Review B},
Matrix product operators (MPOs) are at the heart of the second-generation density matrix renormalization group (DMRG) algorithm formulated in matrix product state language. We first summarize the widely known facts on MPO arithmetic and representations of single-site operators. Second, we introduce three compression methods (rescaled SVD, deparallelization, and delinearization) for MPOs and show that it is possible to construct efficient representations of arbitrary operators using MPO… 

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    Infinite matrix product operator forms , ” In preparation .

    • Annu . Rev . Condens . Matter Phys .
    • 2012

    Infinite matrix product operator forms

      In this specific case, it might be reasonable to set c † 2i+1 equal to zero and call the bosonic creators a † . For spin systems