Aug 8 – 13, 2022
Hörsaalzentrum Poppelsdorf
Europe/Berlin timezone

Entanglement filtering and improved coarse-graining on two dimensional tensor networks including fermions

Aug 10, 2022, 3:20 PM
20m
CP1-HSZ/1st-1.004 - HS7 (CP1-HSZ)

CP1-HSZ/1st-1.004 - HS7

CP1-HSZ

70
Oral Presentation Algorithms (including Machine Learning, Quantum Computing, Tensor Networks) Algorithms

Speaker

Ryo Sakai (Syracuse University)

Description

Tensor renormalization group (TRG) has attractive features like the absence of sign problems and the accessibility to the thermodynamic limit, and many applications to lattice field theories have been reported so far. However it is known that the TRG has a fictitious fixed point that is called the CDL tensor and that causes less accurate numerical results. There are improved coarse-graining methods that attempt to remove the CDL structure from tensor networks. Such approaches have been shown to be beneficial on two dimensional spin systems. We discuss how to adapt the removal of the CDL structure to tensor networks including fermions, and numerical results that contain some comparisons to the plain TRG, where significant differences are found, will be shown.

Primary author

Ryo Sakai (Syracuse University)

Co-authors

Mr Muhammad Asaduzzaman (Syracuse University) Prof. Simon Catterall (Syracuse University) Prof. Yannick Meurice (University of Iowa) Goksu Toga (Syracuse University)

Presentation materials