An Introduction to Exotic Phases of Matter By Tyler D Ellison - - PowerPoint PPT Presentation
An Introduction to Exotic Phases of Matter By Tyler D Ellison Outline 1. Vague statements about phases of matter 2. Entanglement 3. Classification of exotic quantum phases of matter 1. A few words about long-range entanglement 2. More
By Tyler D Ellison
1. A few words about long-range entanglement 2. More words about short-range entanglement
Disordered An insulator A metal A magnet
Quantum entanglement
Total Hilbert space: A basis for :
A basis for :
New Hilbert space: Trivial product state:
Energy Thermodynamic limit
Niveditha Ram
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Short-range entanglement:
Long-range entanglement:
“Trivial states”
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Protecting symmetry: G
Image Sources Phase diagram of water: https://en.wikipedia.org/wiki/Phase_diagram#/media/File:Phase_diagram_of_water.svg Quantum entanglement: http://gizmodo.com/scientists-break-quantum-record-entangling-3-000-atoms-1694832887
Topological insulator Vacuum
Protecting symmetry: particle number conservation, U(1) and time-reversal invariance, T
Protecting symmetry: G
Protecting symmetry: particle number conservation, U(1) and time-reversal invariance, T
H H H H H H H H H H
H H H H H H H H H H H H H
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