Frustration-free Hamiltonians and tensor network states
Project Description
Quantum many-body problems are rarely solvable. In this project, we investigate the intimate relation between two concepts which constrain a quantum many-body problem into a more solvable form, frustration-freeness and the existence of tensor network representations.
Supervisor
PO, Hoi Chun
Quota
3
Course type
UROP2100
Applicant's Roles
To theoretically and numerically analyze how frustration-freeness is closely related to the existence of tensor-network representations.
Applicant's Learning Objectives
- To understand how tensor-network states are constructed from local data
- To appreciate the difficulty in representing certain quantum phases using tensor network representation
- To construct frustration-free Hamiltonians from a tensor-network representation and vice versa
- To appreciate the difficulty in representing certain quantum phases using tensor network representation
- To construct frustration-free Hamiltonians from a tensor-network representation and vice versa
Complexity of the project
Moderate