List of References

Quantum Field Theory

• ゲージ場の量子論 (九後汰一郎)

• An Introduction To Quantum Field Theory (Peskin, Schroeder)

• Method of Quantum Field Theory in Statistical Physics (AGD)

• Condensed Matter Field Theory (Altland, Simons)

• Quantum Field Theory of Many-Body Systems (Wen)

• Field Theory of Condensed Matter Physics (Fradkin)

Duality

• Quantum Physics in One Dimension (International Series of Monographs on Physics)

• Bosonization for Beginners --- Refermionization for Experts [arXiv:cond-mat/9805275]

• Duality in field theory and statistical systems (Rev. Mod. Phys. 52, 453)

• Duality in low dimensional quantum field theories

Integrable systems

• "Exactly solved models in statistical mechanics" Baxter

• "How Algebraic Bethe Ansatz works for integrable model" L. D. Faddeev (arXiv:9605187v1)

• 出口 物性若手夏の学校

• "Quantum symmetry algebras of spin systems related to Temperley-Lieb R-matrices " (arXiv:0712.3154)

• 可解な二次元格子模型とテータ関数恒等式(戸田格子とそ の周辺)

Statistical approach for Many-body systems

• Tightening the Lieb-Robinson Bound in Locally-Interacting Systems, Wang-Hazzard, 2019, arXiv:1908.03997

Symmetry protected topological phases

• "Interacting topological phases and quantum anomalies" Shinsei Ryu 2015 Phys. Scr. 2015 014009

• "Symmetry Protected Topological phases of Quantum Matter" T. Senthil (1405.4015)

Conformal field theory

• The yellow book

• 江口-菅原

• 川上-梁

Renormalization Group

• くりこみ群の方法【現代物理学叢書】

• くりこみ群とはなにか

• Scaling and Renormalization in Statistical Physics (Cambridge Lecture Notes in Physics)

• J.B. Kogut, “An introduction to lattice gauge theory and spin systems” Rev. Mod. Phys. 51, 659-713 (1979)

• "Quantum Phase Transitions", Sachdev

Magnetism

• 久保健、田中秀数『磁性 I』(朝倉物性物理シリーズ)

• “The Theory of Magnetism Made Simple” World Scientific

• Introduction to Frustrated Magnetism: Materials, Experiments, Theory (Springer Series in Solid-State Sciences)

• “Frustrated Spin Systems” World Scientific (Misguich & Lhuillier, arXiv:cond-mat/0310405v2)

Kitaev's talks

• arxiv

• Alexei Kitaev and the Value of Toy Models (2019)

• Complex SYK Model (Dec 2019)

• Topological quantum phases (2019)

• Black holes and the SYK model (2018)

• Near-coherent Scrambling (2017)

• A Toy Quantum Black Hole (2017)

• A simple model of quantum holography (part 1) (2015)

• A simple model of quantum holography (part 2) (2015)

• Breakthrough Prize Fundamental Physics Symposium (2015)

• Hidden correlations in the Hawking radiation and thermal noise (2015)

• On the Classification of Short-Range Entangled States (2013)

• K-theoretic classification of free fermion phases (2011)

• Toward a topological classification of many-body quantum states with short-range entanglement (2011)

• Conclusion: Toward a topological classification of many-body quantum states with short-range entanglement (2011)

Classical and Quantum Computing

• 思考する機械コンピュータ、ダニエル・ヒリス（草思社文庫）

• 量子計算理論、森前智行（森北出版）

• 今度こそわかる量子コンピューター、西野友年（講談社）

• 藤井さんのpdfいっぱい