2014/01/01 by Laurens Vanderstraeten, Michaël Mariën, Michael Mariën +5 · 1 citation
Mathematics · Physics and Astronomy · Social Sciences · #Brazilian cultural history and politics #Combinatorics #Eigenvalues and eigenvectors #Gender, Sexuality, and Education #Hamiltonian (control theory) #Mathematical physics #Mathematics #Physical Education and Sports Studies #Physics #Political science #Pure mathematics #Quantum #Quantum and electron transport phenomena #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Quantum, superfluid, helium dynamics #Statistical physics #Tensor (intrinsic definition) #Theoretical physics #Topology (electrical circuits) #cond-mat.str-el #quant-ph
paper · pdf · doi:10.1103/physrevlett.119.070401
published as Phys. Rev. Lett. 119, 070401 (2017) · published version
openalex publication_date 2014/01/01 · openalex created_date 2016/06/24 · arxiv created 2017/09/05 · arxiv updated 2017/09/06 · openalex updated_date 2026/06/23
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.