Mini-school on Entanglement and Topological Phases of Matter

29 Janurary ~ 1 February 2018
Pohang, Korea


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Lecture #1
Lecture #2
Lecture #3
■ Lecture #1

    Entanglement Spectrum

    • Lecturer: Xin Wan (Zhejiang University)

    Lecture 1: Introduction to entanglement spectrum (Notes)

    • Entanglement Hamiltonian and entanglement spectrum

    • Examples: the AKLT state, the integer quantum Hall state

    • The bulk-edge correspondence

    Lecture 2: Bulk entanglement spectrum (Slides)

    • The bulk entanglement spectrum of the integer quantum Hall state

    • Bulk entanglement spectrum and quantum phase transition

    • The quantum spin-1 chains

    Lecture 3: Entanglement spectrum evolution following a quantum quench (Notes)

    • The Kitaev model for 1D p-wave superconductor

    • The evolution of the zero modes after a quantum quench

    Lecture 4: Machine learning quantum phase transition (Slides)

    • Introduction to artificial neural networks

    • Learning quantum phase transition from entanglement spectrum

    • Applications: the Kitaev model, many-body localization

    Lecture 5: Entanglement spectrum in fractional quantum Hall systems (Slides)

    • Introduction to the Laughlin state

    • Entanglement spectrum of the Laughlin state

    Lecture 6: Further topics (Slides)

    • Depending on the progress and feedbacks of lectures 4 and 5, I will either continue to discuss the conformal field theory and the matrix product state representation of the Laughlin state, or switch to explain the restricted Boltzmann machine representation of quantum many-body states.