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Ogata's Index Construction for SPT Phases in Quantum Spin Chains

Offered By: Erwin Schrödinger International Institute for Mathematics and Physics (ESI) via YouTube

Tags

Quantum Spin Chains Courses Condensed Matter Physics Courses Mathematical Physics Courses Tensor Networks Courses Symmetry Protected Topological Phases Courses

Course Description

Overview

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Explore Ogata's construction of invariants for Symmetry Protected Topological (SPT) phases in quantum spin chains through this comprehensive lecture. Delve into the simplest situation of spin chains and discover the connection with systems featuring Matrix Product State (MPS) ground states. Learn about the index previously established by other authors for these special cases. Gain insights from Bruno Nachtergaele's explanation of this complex topic, presented as part of the Thematic Programme on "Tensor Networks: Mathematical Structures and Novel Algorithms" at the Erwin Schrödinger International Institute for Mathematics and Physics (ESI).

Syllabus

Bruno Nachtergaele - Ogata's construction of an index for SPT phases of quantum spin chains.


Taught by

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

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