SciPost Phys. 8, 024 (2020) ·
published 7 February 2020

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We present a generalization of the Time Dependent Variational Principle
(TDVP) to any finite sized loopfree tensor network. The major advantage of
TDVP is that it can be employed as long as a representation of the Hamiltonian
in the same tensor network structure that encodes the state is available.
Often, such a representation can be found also for longrange terms in the
Hamiltonian. As an application we use TDVP for the Fork Tensor Product States
tensor network for multiorbital Anderson impurity models. We demonstrate that
TDVP allows to account for offdiagonal hybridizations in the bath which are
relevant when spinorbit coupling effects are important, or when distortions of
the crystal lattice are present.