TNSAA SASMOST No. 1082112M002020MY3
Title:Tensor Network States Algorithms and Applications
Duration: 01/01/2021  31/12/2022
Principal Investigator: Dr. Andrej Gendiar
Budget: 80 000 eur
Project Goals: The application of quantum entanglement method, in particular tensor networks, in the context classical and quantum statistical physics has gaining traction in recent years. Tensor networks are now arising as a universal language in all disciplines of contemporary physics, ranging from atomic and condensed matter physics to high energy physics. In this project, we aim to establish a new collaboration between the Slovak and Taiwanese groups at Slovak Academy of Sciences (SAS) and National Taiwan University (NTU) in the development of algorithms and applications for the tensor network. The expertise in the SAS and NTU groups are complementary and both have extensive experience on the research on the development and application of tensor networks to various areas of physics. Combining the expertise and strengths of both teams, we can achieve the following scientific goals: (1) Development of efficient timeevolution algorithms for 1D/2D tensor networks, (2) Benchmark and improve variational algorithms in tensor networks, (3) Expand the applicability of the tensor networks to study behavior of society, (4) Extension of the existing variational tensorbased algorithms to fractal networks, and (5) Entanglemententropy studies of hyperbolic spaces in the quantumgravity theory.
Publications:

Jozef Genzor, Andrej Gendiar, Tomotoshi Nishino: Local and global magnetization on the Sierpiński carpet, Phys. Rev. E 107, 044108 (2023)
Researchers: Andrej Gendiar, Roman Krčmár