Since May 7, 2020 / Online lectures in Japanese

Hal Tasaki's main web page / Hal Tasaki's YouTube channel

- Webinar "Variations on a Theme by Lieb, Schultz, and Mattis: Unique Gapped Ground States, Symmetry-Protected Topological Phases, Edge States, Spin Pumping, and all that in Quantum Spin Chains" (August, 2022)
- Webinar "The Best Answer to the Puzzle of Gibbs about N!! : A short webinar on the work of Sasa, Hiura, Nakagawa, and Yoshida" (June, 2022)
- Webinar "The Asymmetric Valence-Bond-Solid States in Quantum Spin Chains: The Difference Between Odd and Even Spins" (May, 2022)
- Online lecture "Rigorous Index Theory for One-Dimensional Interacting Topological Insulators: with a pedagogical introduction to the topological phase transition in the SSH model" (November, 2021)
- Webinar "Rigorous Index Theory for One-Dimensional Interacting Topological Insulators: a brief introduction" (November, 2021)
- Online lecture "Symmetry-protected topological (SPT) phases and topological indices in quantum spin chains" (August, 2021)
- Webinar "Off-Diagonal Long-Range Order Implies Vanishing Charge Gap" (May, 2021)
- Webinar "Mott insulator-like BEC in a Tight-Binding System of Interacting Bosons with a Flat Band" (May, 2021)
- Webinar "Ogata Index for Quantum Spin Chains and Its Applications" (December, 2020)
- Webinar "Entropy and "thermodynamic" relations for nonequilibrium steady states / Two "twists" in steady state thermodynamics" (November, 2020)
- Webinar "Hohenberg-Mermin-Wagner type theorems for equilibrium models of flocking" (August, 2020)
- Webinar "Topological index and general Lieb-Schultz-Mattis theorems for quantum spin chains" (July, 2020)
- Online lecture "Efficient heat engines are powerless: a fundamental tradeoff relation in thermodynamics proved in 2016" (May, 2020)
- Online lecture "Lieb-Schultz-Mattis theorem and its variations for quantum spin chains" (May, 2020)

- video (55.5 mins), slides (pdf 11 MB)
- H.T. "Physics and Mathematics of Quantum Many-Body Systems" (Springer, Graduate Texts in Physics, 2020) author's support page / publisher's page
- H.T. "The Lieb-Schultz-Mattis Theorem: A Topological Point of View" (arXiv)
- H.T. "Topological phase transition and Z2 index for S=1 quantum spin chains" (arXiv)
- H.T. "Rigorous Index Theory for One-Dimensional Interacting Topological Insulators" (arXiv)
- D. Maekawa and H.T. "The Asymmetric Valence-Bond-Solid States in Quantum Spin Chains: The Difference Between Odd and Even Spins" (arXiv)

Prerequisites: Part 1 Basics of quantum spin systems, Part 2 Some mathematics (group, representation of a group, equivalence class), Appendix: some more math or curiosity

- Part 1: video (29 mins), slides (pdf 3.6 MB)
- Part 2: video (59 mins), slides (pdf 7.2 MB)
- Appendix: video (9 mins), slides (pdf 1.1 MB)

- video (70 mins), slides (pdf 8MB)
- paper by Ogata, Tachikawa, and Tasaki (link to arXiv)
- Yoshiko Ogata's seminar on her new results for two-dimensional SPT

- video (31 mins), slides (pdf 4MB)
- papers by Komatsu, Nakagawa, Sasa, and Tasaki (link to arXiv, link to arXiv)

- video (72 mins), slides (pdf 4 MB)
- paper by Ogata, Tachikawa, and Tasaki (link to arXiv)

Prerequisites: Part 1 Some ideas about college thermodynamics, Part 2 some knowledges about statistical mechanics and stochastic processes

- Part 1: video (25.5 mins), slides (pdf 5 MB)
- Part 2: video (29.5 mins), slides (pdf 2.5 MB)
- A YouTube video showing the same toy Stirling engine (that I am showing in Part 1) in motion
- paper by Shiraishi, Saito, and Tasaki (link to arXiv)

- video (44 mins), slides (pdf 4 MB)
- paper by Ogata, Tachikawa, and Tasaki (link to arXiv)
- sample page of my book