Time dependent variational principle for tree Tensor Networks
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 availab...
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| Format: | Article |
| Language: | English |
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2020-02-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.8.2.024 |
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doaj-1e207e80dc2647b2a9e4ee601ff2d8772020-11-25T02:09:53ZengSciPostSciPost Physics2542-46532020-02-018202410.21468/SciPostPhys.8.2.024Time dependent variational principle for tree Tensor NetworksDaniel Bauernfeind, Markus AichhornWe 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.https://scipost.org/SciPostPhys.8.2.024 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Daniel Bauernfeind, Markus Aichhorn |
| spellingShingle |
Daniel Bauernfeind, Markus Aichhorn Time dependent variational principle for tree Tensor Networks SciPost Physics |
| author_facet |
Daniel Bauernfeind, Markus Aichhorn |
| author_sort |
Daniel Bauernfeind, Markus Aichhorn |
| title |
Time dependent variational principle for tree Tensor Networks |
| title_short |
Time dependent variational principle for tree Tensor Networks |
| title_full |
Time dependent variational principle for tree Tensor Networks |
| title_fullStr |
Time dependent variational principle for tree Tensor Networks |
| title_full_unstemmed |
Time dependent variational principle for tree Tensor Networks |
| title_sort |
time dependent variational principle for tree tensor networks |
| publisher |
SciPost |
| series |
SciPost Physics |
| issn |
2542-4653 |
| publishDate |
2020-02-01 |
| description |
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. |
| url |
https://scipost.org/SciPostPhys.8.2.024 |
| work_keys_str_mv |
AT danielbauernfeindmarkusaichhorn timedependentvariationalprinciplefortreetensornetworks |
| _version_ |
1724921892678139904 |