P R O J E C T   T N S A A
TNSAA TNSAA SAS-MOST No. 108-2112-M-002-020-MY3

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 time-evolution 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 tensor-based algorithms to fractal networks, and (5) Entanglement-entropy studies of hyperbolic spaces in the quantum-gravity theory.

  1. 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