Tensor-Network-Tutorial

Main lecture

Slide of main lecture: "Tensor network approach to two-dimensional frustrated spin systems"

Video recordings of the lectures in "APCTP-IACS-SNBNCBS Workshop on Computational Methods for Emergent Quantum Matter: From Theoretical Concepts to Experimental Realization". https://www.bose.res.in/Conferences/APCTP22/program/

• Part1
• Part2

Basics of tensor networks

Here we share sample codes for the hands-on tutorial of basics of Tensor networks. There are three types of exercises. To run ipynb on Google Colab, please see the instruction (Exercises.pdf)

Ex1

Calculate entanglement entropy of

• Random vector (Ex1-1)
• Ground state of 1d spin models (Ex1-2)
• Picture image (Ex1-3)

Ex2

Perform MPS approximation of

• Random vector (Ex2-1)
• Ground state of 1d spin models (Ex2-2)
• Picture image (Ex2-3)

Ex3

TEBD / iTEBD simulation for 1d spin models.

• TEBD for finite system (Ex3-1)
• iTEBD for infinite sytems (Ex3-2)

Hands-on tutorial of TeNeS

TeNeS is an open-source software for simulation the ground state of two-dimensional lattice models by iTPS.

• GitHub
• Official web page

Here we share slide for the tutorial of TeNeS. (TeNeS_tutorial.pdf)

In this tutorial we assume that the TeNeS is used with MateriApps Live!. So, if you try it, please prepare your virtual Linux enviroment by MateriApps Live as

• Virtual box (For windows and intel Mac)
• Docker (For Mac)