Time Dependent Variational Principle with Ancillary Krylov Subspace

@article{Yang2020TimeDV,
  title={Time Dependent Variational Principle with Ancillary Krylov Subspace},
  author={Mingru Yang and S. White},
  journal={Physical Review B},
  year={2020},
  volume={102}
}
We propose an improved scheme to do the time dependent variational principle (TDVP) in finite matrix product states (MPS) for two-dimensional systems or one-dimensional systems with long range interactions. We present a method to represent the time-evolving state in a MPS with its basis enriched by state-averaging with global Krylov vectors. We show that the projection error is significantly reduced so that precise time evolution can still be obtained even if a larger time step is used… Expand

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