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Bridging Perturbative Expansions with Tensor Networks
- Autor(en)
- Laurens Vanderstraeten, Michael Marien, Jutho Haegeman, Norbert Schuch, Julien Vidal, Frank Verstraete
- Abstrakt
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.
- Organisation(en)
- Quantenoptik, Quantennanophysik und Quanteninformation
- Externe Organisation(en)
- Ghent University , Max-Planck-Institut für Quantenoptik, Université Paris VI - Pierre-et-Marie-Curie, Vienna Center for Quantum Science and Technology (VCQ)
- Journal
- Physical Review Letters
- Band
- 119
- Anzahl der Seiten
- 6
- ISSN
- 0031-9007
- DOI
- https://doi.org/10.1103/PhysRevLett.119.070401
- Publikationsdatum
- 08-2017
- Peer-reviewed
- Ja
- ÖFOS 2012
- 103025 Quantenmechanik, 103015 Kondensierte Materie
- Schlagwörter
- ASJC Scopus Sachgebiete
- Allgemeine Physik und Astronomie
- Link zum Portal
- https://ucrisportal.univie.ac.at/de/publications/c58265f5-f087-4afe-a381-99959423b276