2014/07/31 by Olga Sikora, Hsueh-Wen Chang, Chung-Pin Chou +2 · 1 citation
Mathematics · Physics and Astronomy · #Exact solutions in general relativity #Mathematics #Monte Carlo method #Physics #Physics of Superconductivity and Magnetism #Projector #Quantum #Quantum Monte Carlo #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Quantum, superfluid, helium dynamics #Statistical physics #Tensor (intrinsic definition) #Tensor contraction #Tensor product #Variational Monte Carlo #Wave function #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.91.165113
published as Phys. Rev. B 91, 165113 (2015) · 7 pages, 5 figures, published version
openalex publication_date 2015/04/08 · arxiv created 2015/05/21 · arxiv updated 2015/05/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
We propose an efficient numerical method, which combines the advantages of recently developed tensor-network based methods and standard trial wave functions, to study the ground-state properties of quantum many-body systems. In this approach, we apply a projector in the form of a tensor-product operator to an input wave function, such as a Jastrow-type or Hartree-Fock wave function, and optimize the tensor elements via variational Monte Carlo. The entanglement already contained in the input wave function can considerably reduce the bond dimensions compared to the regular tensor-product state representation. In particular, this allows us to also represent states that do not obey the area law of entanglement entropy. In addition, for fermionic systems, the fermion sign structure can be encoded in the input wave function. We show that the optimized states provide good approximations of the ground-state energy and correlation functions in the cases of two-dimensional bosonic and fermonic systems.