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Bridging Perturbative Expansions with Tensor Networks

Vanderstraeten, Laurens ; Mariën, Michaël ; Haegeman, Jutho ; Schuch, Norbert ; Vidal, Julien ; Verstraete, Frank

Physical review letters, 2017-08, Vol.119 (7), p.070401-070401, Article 070401 [Periódico revisado por pares]

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Título:
Bridging Perturbative Expansions with Tensor Networks
Autor: Vanderstraeten, Laurens ; Mariën, Michaël ; Haegeman, Jutho ; Schuch, Norbert ; Vidal, Julien ; Verstraete, Frank
Assuntos: Physics
É parte de: Physical review letters, 2017-08, Vol.119 (7), p.070401-070401, Article 070401
Notas: ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
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Descrição: We demonstrate that perturbative expansions for quantum many-body systems can be rephrased in terms of tensor networks, thereby providing a natural framework for interpolating perturbative expansions across a quantum phase transition. This approach leads to classes of tensor-network states parametrized by few parameters with a clear physical meaning, while still providing excellent variational energies. We also demonstrate how to construct perturbative expansions of the entanglement Hamiltonian, whose eigenvalues form the entanglement spectrum, and how the tensor-network approach gives rise to order parameters for topological phase transitions.
Editor: United States: American Physical Society
Idioma: Inglês

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