Research Progress
Tensor Network States and Parton Wave Functions for Quantum Magnets
Speaker:Prof. WU Yinghai
Huazhong University of Science and Technology
Time:2020-12-16 10:00
Place:B0902,Building B,Physical Science Park



Tensor network states and parton wave functions are two pivotal methods for studying quantum magnets. In this talk, we demonstrate that a variety of parton wave functions, such as projected Fermi sea and projected fermionic or bosonic paired states, can be represented exactly as tensor networks. The results can be compressed into matrix product states with moderate bond dimensions so various physical quantities can be computed efficiently. For the projected Fermi sea, we develop an excellent compression scheme with high fidelity using maximally localized Wannier orbitals. Numerical calculations on two parton wave functions demonstrate that our method exceeds commonly adopted Monte Carlo methods in some aspects. It produces energy and correlation function with very high accuracy that is difficult to achieve using Monte Carlo method. The entanglement measures that were almost impossible to compute before can also be obtained easily using our method.

Organizer:Hefei National Laboratory for Physical Sciences at the Microscale

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