## Time dependent variational principle for tree Tensor Networks

Daniel Bauernfeind, Markus Aichhorn

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

- doi: 10.21468/SciPostPhys.8.2.024
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### Abstract

We present a generalization of the Time Dependent Variational Principle (TDVP) to any finite sized loop-free 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 long-range terms in the Hamiltonian. As an application we use TDVP for the Fork Tensor Product States tensor network for multi-orbital Anderson impurity models. We demonstrate that TDVP allows to account for off-diagonal hybridizations in the bath which are relevant when spin-orbit coupling effects are important, or when distortions of the crystal lattice are present.

### Ontology / Topics

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^{1 }Daniel Bauernfeind, -
^{1 }Markus Aichhorn

- Austrian Science Fund (FWF) (through Organization: Fonds zur FĂ¶rderung der wissenschaftlichen Forschung / FWF Austrian Science Fund [FWF])