The Fermion Bag Approach in the Hamiltonian Picture
APA
Huffman, E. (2017). The Fermion Bag Approach in the Hamiltonian Picture. Perimeter Institute. https://pirsa.org/17120010
MLA
Huffman, Emilie. The Fermion Bag Approach in the Hamiltonian Picture. Perimeter Institute, Dec. 12, 2017, https://pirsa.org/17120010
BibTex
@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}} }
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.