Steven H. Simon is a theoretical physics professor at Oxford University and a professorial fellow of Somerville College, Oxford. Before coming to Oxford he was director of theoretical physics research at Bell Laboratories. He has served on the UK EPSRC Physical Sciences Strategic Advisory Board. He is known for his work on Topological Phases of Matter, Topological Quantum Computation, and Fractional Quantum Hall Effect. He is the author of a popular introductory book on solid state physics, entitled The Oxford Solid State Basics which has been used at over a hundred universities worldwide.
Inhaltsangabe
1.: Introduction and Ancient History 2.: Kauffman Bracket Invariant and Relation to Physics I Anyons and Topological Quantum Field Theories 3.: Particle Quantum Statistics 4.: Aharonov-Bohm Effect and Charge-Flux Composites 5.: Chern-Simons Theory Basics 6.: Short Digression on Quantum Gravity 7.: Defining Topological Quantum Field Theory II Anyon Basics 8.: Fusion and Structure of Hilbert Space 9.: Change of Basis and F-Matrices 10.: Exchanging Identical Particles 11.: Computing with Anyons III Anyon Diagrammatics 12.: Planar Diagrams 13.: Braiding Diagrams 14.: Seeking Isotopy 15.: Twists 16.: Nice Theories with Planar or Three-Dimensional Isotopy 17.: Further Structure IV Some Examples: Planar Diagrams and Anyon Theories 18.: Some Simple Examples 19.: Anyons From Discrete Groups Elements 20.: Bosons and Fermions from Group Representati 21.: Quantum Groups (In Brief) 22.: Temperly-Lieb Algebra and Jones-Kauffman Anyons V Applications of TQFT Diagrammatics 23.: State Sum TQFTs 24.: Formal Construction of "Chern-Simons" TQFT: Surgery and More Complicated Manifolds 25.: Anyon Condensation VI Toric Code Basics 26.: Introducing Quantum Error Correction 27.: Introducing the Toric Code 28.: The Toric Code as a Phase of Matter and a TQFT 29.: Robustness of Topologically-Ordered Matter 30.: Abstracting the Toric Code: Introduction to Tube Algebra VII More General Loop-Gas and String-Net Models 31.: Kitaev Quantum Double Model 32.: Doubled-Semion Model 33.: Levin-Wen String-Net VIII Entanglement and Symmetries 34.: Topological Entanglement 35.: SPT Phases of Matter 36.: Anyon Permuting Symmetry IX Further Thoughts 37.: 37 Experiments (In Brief) 38.: Final Comments 39.: Appendix: Kac and Other Resources for TQFTs 40.: Appendix: Some Mathematical Basics Index Free
1.: Introduction and Ancient History 2.: Kauffman Bracket Invariant and Relation to Physics I Anyons and Topological Quantum Field Theories 3.: Particle Quantum Statistics 4.: Aharonov-Bohm Effect and Charge-Flux Composites 5.: Chern-Simons Theory Basics 6.: Short Digression on Quantum Gravity 7.: Defining Topological Quantum Field Theory II Anyon Basics 8.: Fusion and Structure of Hilbert Space 9.: Change of Basis and F-Matrices 10.: Exchanging Identical Particles 11.: Computing with Anyons III Anyon Diagrammatics 12.: Planar Diagrams 13.: Braiding Diagrams 14.: Seeking Isotopy 15.: Twists 16.: Nice Theories with Planar or Three-Dimensional Isotopy 17.: Further Structure IV Some Examples: Planar Diagrams and Anyon Theories 18.: Some Simple Examples 19.: Anyons From Discrete Groups Elements 20.: Bosons and Fermions from Group Representati 21.: Quantum Groups (In Brief) 22.: Temperly-Lieb Algebra and Jones-Kauffman Anyons V Applications of TQFT Diagrammatics 23.: State Sum TQFTs 24.: Formal Construction of "Chern-Simons" TQFT: Surgery and More Complicated Manifolds 25.: Anyon Condensation VI Toric Code Basics 26.: Introducing Quantum Error Correction 27.: Introducing the Toric Code 28.: The Toric Code as a Phase of Matter and a TQFT 29.: Robustness of Topologically-Ordered Matter 30.: Abstracting the Toric Code: Introduction to Tube Algebra VII More General Loop-Gas and String-Net Models 31.: Kitaev Quantum Double Model 32.: Doubled-Semion Model 33.: Levin-Wen String-Net VIII Entanglement and Symmetries 34.: Topological Entanglement 35.: SPT Phases of Matter 36.: Anyon Permuting Symmetry IX Further Thoughts 37.: 37 Experiments (In Brief) 38.: Final Comments 39.: Appendix: Kac and Other Resources for TQFTs 40.: Appendix: Some Mathematical Basics Index Free
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