Unifying time evolution and optimization with matrix product states

@article{Haegeman2016UnifyingTE,
  title={Unifying time evolution and optimization with matrix product states},
  author={J. Haegeman and C. Lubich and I. Oseledets and Bart Vandereycken and F. Verstraete},
  journal={Physical Review B},
  year={2016},
  volume={94},
  pages={165116}
}
  • J. Haegeman, C. Lubich, +2 authors F. Verstraete
  • Published 2016
  • Physics
  • Physical Review B
  • We show that the time-dependent variational principle provides a unifying framework for time-evolution methods and optimization methods in the context of matrix product states. In particular, we introduce a new integration scheme for studying time evolution, which can cope with arbitrary Hamiltonians, including those with long-range interactions. Rather than a Suzuki-Trotter splitting of the Hamiltonian, which is the idea behind the adaptive time-dependent density matrix renormalization group… CONTINUE READING

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