PIRSA:17120010 Scientific Series Condensed Matter

DOI10.48660/17120010

Series: Quantum Matter

Huffman, E. (2017). The Fermion Bag Approach in the Hamiltonian Picture. Perimeter Institute. https://pirsa.org/17120010

Huffman, Emilie. The Fermion Bag Approach in the Hamiltonian Picture. Perimeter Institute, Dec. 12, 2017, https://pirsa.org/17120010 

@misc{ pirsa_PIRSA:17120010,
  doi = {10.48660/17120010},
  url = {https://pirsa.org/17120010},
  author = {Huffman, Emilie},
  keywords = {Condensed Matter},
  language = {en},
  title = {The Fermion Bag Approach in the Hamiltonian Picture},
  publisher = {Perimeter Institute},
  year = {2017},
  month = {dec},
  note = {PIRSA:17120010 see, \url{https://pirsa.org}}
}

Abstract

Quantum Monte Carlo methods, when applicable, offer reliable ways to extract the nonperturbative physics of strongly-correlated many-body systems. However, there are some bottlenecks to the applicability of these methods including the sign problem and algorithmic update inefficiencies. Using the t-V model Hamiltonian as the example, I demonstrate how the Fermion Bag Approach--originally developed in the context of lattice field theories--has aided in solving the sign problem for this model as well as aided in developing a more efficient algorithm to study the model. Finally, I discuss some other potential uses for the new algorithm, including for a broader class of models known to be sign-problem-free due to fermion bag ideas.

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