Ciro Santilli @cirosantilli 37

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Theories of Quantum Matter by Austen Lamacraft / The Elastic Chain / Position Fluctuations by

Ciro Santilli 37 Updated 2025-07-16

austen.uk/courses/tqm/elastic-chain/#position-fluctuations

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Theories of Quantum Matter by Austen Lamacraft / The Elastic Chain / Density Fluctuations by

Ciro Santilli 37 Updated 2025-07-16

austen.uk/courses/tqm/elastic-chain/#density-fluctuations

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Theories of Quantum Matter by Austen Lamacraft / The Elastic Chain / Equations of Motion by

Ciro Santilli 37 Updated 2025-07-16

austen.uk/courses/tqm/elastic-chain/#the-classical-system

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Theories of Quantum Matter by Austen Lamacraft / The Elastic Chain / Hamiltonian Formulation by

Ciro Santilli 37 Updated 2025-07-16

austen.uk/courses/tqm/elastic-chain/#hamiltonian-formulation

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Theories of Quantum Matter by Austen Lamacraft / The Elastic Chain / Complex Coordinates by

Ciro Santilli 37 Updated 2025-07-16

austen.uk/courses/tqm/elastic-chain/#complex-coordinates

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CC BY-NC-ND 4.0 by

Ciro Santilli 37 Updated 2025-07-16

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Landau level by

Ciro Santilli 37 Updated 2025-07-16

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University of Cambridge lecture note copyright ownership by

Ciro Santilli 37 Updated 2025-07-16

Teachers appear to own it, just allowing perpetual non exclusive rights to university: www.admin.cam.ac.uk/univ/so/pdfs/2022/ordinance13.pdf

30. In relation to teaching materials prepared by a University staff member for use in the teaching primarily of the University’s students, unless the Faculty Board or other body responsible for teaching has agreed explicitly to the contrary, the University shall have a non-exclusive, royalty-free, perpetual license to use the material for teaching in the University.

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CC BY-NC-ND 4.0 table of contents by

Ciro Santilli 37 Updated 2025-07-16

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Theories of Quantum Matter by Austen Lamacraft / Quantum Hall Effect / Filled LLL of Fermions by

Ciro Santilli 37 Updated 2025-07-16

austen.uk/courses/tqm/quantum-hall-effect/#filled-lll-of-fermions

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Abelian an non abelian anyons by

Ciro Santilli 37 Updated 2025-07-16

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Abelian anyon by

Ciro Santilli 37 Updated 2025-07-16

On particle exchange:

ψ = e^{θ i} ψ

so it is a generalization of bosons and fermions which have

θ = 0

and

θ = π

respectively.

Key physical experiment: fractional quantum Hall effect.

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Non Abelian anyon by

Ciro Santilli 37 Updated 2025-07-16

Exotic and hard to find experimentally.

Topological quantum computation by Jason Alicea (2021)

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Topological quantum computer by

Ciro Santilli 37 Updated 2025-07-16

Topological Quantum Computer by Professor John Preskill

Topological Quantum Computation by Jason Alicea (2021)

Anyons by Yuly Billig (2022)

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Laughlin wavefunction by

Ciro Santilli 37 Updated 2025-07-16

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Fish subclade by

Ciro Santilli 37 Updated 2025-07-16

Once Ciro joked in a twenty questions-like game that humans are animals.

But counting humans a fish would have been a stroke of genius.

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Separable state by

Ciro Santilli 37 Updated 2025-07-16

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Theories of Quantum Matter by Austen Lamacraft / Quantum Hall Effect / Lowest Landau level by

Ciro Santilli 37 Updated 2025-07-16

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Topological Quantum Course of the University of Oxford by

Ciro Santilli 37 Updated 2025-07-16

2010- professor: Steven H. Simon

Lecture notes/book: www-thphys.physics.ox.ac.uk/people/SteveSimon/topological2021/TopoBook-Sep28-2021.pdf

Course page index: www-thphys.physics.ox.ac.uk/people/SteveSimon/

2022 homepage: www-thphys.physics.ox.ac.uk/people/SteveSimon/topological2022/topocourse2022.html

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Ciro Santilli 37 Updated 2025-07-16

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