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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