Inhaltsbereich
Tensor Networks 2021 – Tutorials
- Overview
- Lecture notes
- Tutorials
- References
- Videos
Tutorials
Tutorial materials can be obtained upon request, addressed at vondelft@lmu.de
| Tutorial | Date | Materials updated | Topic |
| T16 | 20.07.21 | MPS-based machine learning (optional) | |
| T15 | 13.07.21 | GILT, FET 1. Graph-independent local truncation (GILT) 2. Full environment truncation (FET) |
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| T14 | 06.07.21 | TRG, Simple update 1. Tensor renormalization group to compute correlation functions 2. Simple update to find ground states |
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| T13 | 29.06.21 | Finite PEPS 1. RVB state & Toric code & Resonating AKLT loop state |
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| T12 | 22.06.21 | NRG II 1. Thermodynamic properties 2. Spectral function |
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| T11 | 15.06.21 | NRG I 1. Iterative diagonalization & Energy flow diagram |
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| T10 | 08.06.21 | Finite temperature. TDVP. QSpace tDMRG (optional) 1a. Purification 1b. XTRG (optional) 2. TDVP 3. Error estimation 4. QSpace tDMRG (optional) |
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| T09 | 01.06.21 | tDMRG/Subspace expansion 1. tDMRG. XY chain - domain wall. Entanglement growth. Error analysis. Local excitation. 2. Subspace expansion. |
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| T08 | 25.05.21 | iTEBD. QSpace DMRG (optional) 1. Ground state search. Hastings' method. Correlation length of spin-1 Heisenberg chain. Orthogonalization 2. QSpace: ground state DMRG (optional) |
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| T07 | 19.05.21 | DMRG 1. Ground state search. Spin-spin correlator. 1st excited state search. Majumdar-Gosh Model 2. Two-site DMRG |
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| T06 | 18.05.21 | QSpace II 1. Iterative diagonalization (optional) 2. Canonical form (optional) |
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| T05 | 11.05.21 | QSpace 1. Introduction to QSpace 2. Iterative diagonalization (optional) 3. Canonical form (optional) |
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| T04 | 04.05.21 | AKLT model, MPOs 1. Left-normalization Transfer operator Spin transfer operators Spin correlators, string order parameter 2. Applying MPO to MPS 3. Parton treatment of Haldane-Shastry model |
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| T03 | 27.04.21 | MPS, Iterative diagonalization 1. Canonical forms of MPS 2. Expectation values 3. Iterative diagonalization of fermionic chain |
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| T02 | 20.04.21 | Tensor network basics 1. Tensor contraction 2. Singular value decomposition 3. Tensor decomposition and entanglement Entropy |
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| T01 | 15.04.21 | MATLAB 101 Introduction to MATLAB |
During tutorial sessions, you will learn how to write and use MATLAB codes for tensor network methods.
In the first week of the semester, lectures will be on Tuesday and Wednesday, and the tutorial on Thursday.
In all other weeks of the semester, the tutorial will be on Tuesday, and lectures on Wednesday and Thursday.
Getting started: Read Organization of tutorials, then read readme.pdf and follow the instructions therein about the code repository.
Organization of tutorials
Code repository
Grading rules
Tutorial materials:
Please download the tutorial material on a weekly basis from the links below.