Adiabatic pumps in quantum spin systems
- July 12 (Tue) at 16:00 - 17:15, 2022 (JST)
- Dr. Ken Shiozaki (Assistant Professor, Yukawa Institute for Theoretical Physics, Kyoto University)
- via Zoom
- Chen-Hsuan Hsu (YITP, Kyoto University)
The Thouless pump is a one-parameter cycle of 1-dimensional gapped quantum systems with U(1) symmetry, which is classified by integers. In this talk, I introduce a generalization of the Thouless pump to quantum spin systems in any dimension with any finite group onsite symmetry. I show a simple model with Z_2 onsite symmetry, and how it is nontrivial via boundary degrees of freedom. Using the framework of the injective matrix product state, one can construct the topological invariant in a way similar to the Berry phase. If time allows, I will briefly introduce a group cohomology model by Roy and Harper for generic space dimensions and discuss its properties.
- Ken Shiozaki, On adiabatic cycles of quantum spin systems, arXiv: 2110.10665
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