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- Common courses
- Liberal arts and basic science courses
- Academic unit or major
- Graduate major in Physics
- Instructor(s)
- Totsuka Keisuke
- Class Format
- Lecture
- Media-enhanced courses
- Day/Period(Room No.)
- Intensive (大岡山地区)
- Group
- -
- Course number
- PHY.P547
- Credits
- 1
- Academic year
- 2018
- Offered quarter
- 1-2Q
- Syllabus updated
- 2018/5/23
- Lecture notes updated
- -
- Language used
- Japanese
- Access Index
-
Course description and aims
"Topological order in low-dimensional quantum magnets and ultracold atoms"
Keisuke Totsuka (YITP, Kyoto University)
Inspired by the discovery of the quantum Hall effects, the concept of "topological phases" was proposed in the 1980’s, which cannot be described by the traditional framework based on symmetry breaking. Over the last few decades, research on topological phases of matter has progressed significantly owing to the discovery of topological insulators/superconductors and of various theoretical models showing topological phases, the efforts in material research, the interaction with quantum information science, and so on. In this lecture, starting from the basic concepts in quantum magnetism and theories of phase transitions, I will mainly discuss the topological phases of matter that emerge in quantum magnets and ultracold atoms due to strong correlation. Some recent topics such as quantum spin liquids and the application of quantum information ideas to those phases will be discussed as well.
Student learning outcomes
The master course students are expected to fully understand the contents at the standard level.
The students are expected to solve the standard problems provided by the lecturer.
Keywords
quantum spin, topological order, entanglement
Competencies that will be developed
| ✔ Specialist skills | Intercultural skills | Communication skills | Critical thinking skills | Practical and/or problem-solving skills |
Class flow
The lecture is given in a form of intense course in Japanese.
June 6 (Wed) 10:00-12:00, 13:30-15:30, 16:00-18:00 @H135
June 7 (Thu) 10:00-12:00, 13:30-15:30, 16:00-18:00 @H135
June 8 (Fri) 10:00-12:00, 13:30-15:30, 16:00-18:00 @H135
Course schedule/Required learning
| Course schedule | Required learning | |
|---|---|---|
| Class 1 | Introduction | The lecturer will instruct during classes. |
| Class 2 | Quantum magnetism | |
| Class 3 | Topological order | |
| Class 4 | Quantum entanglement topological order | |
| Class 5 | Tensor networks as quantum many-body wavefunctions | |
| Class 6 | Short-range entanglement and symmetry-protected topological (SPT) phases | |
| Class 7 | SPT phases in ultracold atoms | |
| Class 8 | Spin liquid | |
| Class 9 | Selected recent topics |
Textbook(s)
None.
Reference books, course materials, etc.
- A. Auerbach, "Interacting Electrons and Quantum Magnetism”, (Springer 1994)
- X-G. Wen, “Quantum Field Theory of Many-Body Systems” (Oxford 2004)
- E. Fradkin, “Field Theories of Condensed Matter Physics” (Cambridge 2013)
Other references will be instructed during classes.
Assessment criteria and methods
Evaluated by questions during classes and a report related to lectures.
Related courses
- PHY.C341 ： Condensed Matter Physics I
- PHY.C342 ： Condensed Matter Physics II
- PHY.Q438 ： Quantum Mechanics of Many-Body Systems
- PHY.C439 ： Physics of Magnetic Materials
Prerequisites (i.e., required knowledge, skills, courses, etc.)
None.
