SQAI-NCTS Workshop on Tensor Network and Quantum Embedding

Fully-augmented Matrix Product States: algorithm, application, and parent Hamiltonian

29 Mar 2024, 10:00

1h

NSSOL Learning Studio (E285), 2F, Faculty of Science Bldg. 1 (Hongo Campus, The University of Tokyo)

Invited talk Invited talks

Speaker

Mingpu Qin (Shanghai Jiao Tong University)

Description

I will introduce a new tensor network states ansatz called Fully-augmented Matrix Product States (FAMPS), in which MPS is augmented with disentanglers to encode area-law-like entanglement entropy (entanglement entropy supported in FAMPS scales as $l$ for an $l$ × $l$ system). I will discuss the optimization algorithm of FAMPS in the study of 2D quantum system. With FAMPS, we reexamine the $J_1-J_2$ Heisenberg model on square lattice and find the absence of the spin liquid phase in the phase diagram. I will also discuss the 2D parent Hamiltonian of FAMPS.

[1] Xiangjian Qian, Mingpu Qin, Chin. Phys. Lett. 40, 057102 (2023) (Express Letter).
[2] Xiangjian Qian, Mingpu Qin, arXiv:2309.13630 (2023).
[3] Xiangjian Qian, Mingpu Qin, arXiv:2401.07659 (2023).