ELFT HÍRADÓ

[Szeminárium koordinátor <szfi-seminar AT wigner.mta.hu>]

SZFI Seminar
Reinhard M. Noack
(Philipps-Universität Marburg, host: Örs Legeza)
Finite Projected Entangled Pair States for the 2D Hubbard Model
I discuss our adaptation of the projected-pair-entangled-state (PEPS) 
algorithm on finite lattices (fPEPS) for two-dimensional Hubbard models and 
its application to the Hubbard model with nearest-neighbor hopping on a 
square lattice. In particular, we formulate the PEPS algorithm using 
projected entangled pair operators, incorporate SU(2) symmetry in all tensor 
indices, and optimize the PEPS using both iterative-diagonalization-based 
local bond optimization and gradient-based optimization of the PEPS. I 
discuss the performance and convergence of the algorithm for the Hubbard 
model on lattice sizes of up to 8x8 for PEPS states with U(1) symmetric bond 
dimensions of up to D = 8 and SU(2) symmetric bond dimensions of up to D = 6. 
Finally, I comment on the relative and overall efficiency of schemes for 
optimizing fPEPS. ref.: https://doi.org/10.48550/arXiv.2302.04192Thursday, 1 
June 2023, 10:00
Wigner FK SZFI, Bldg. 1, 2nd floor auditorium
Language of the talk: English
All interested are welcome!
Attila Nagyszfi-seminar AT wigner.hu