Statistical Physics part 2 - quantum theory (Book): Difference between revisions

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As such, it has already shown to be an important proving grounds both experimentally and theoretically for methods in quantum field theory, and this continues to be the case. Modern problems focus on the engineering of artificial atoms (Quantum Dots), the theory of superconductivity for high critical temperatures (this is not explained by the usual low Tc theory), the Integer and Fractional Quantum Hall Effects; From those come emergent gauge fields, Chern-Simons theory, Topological Quantum Computing, Anyons, the Twisted-Equivariant cohomology classification of topological phases (Kitaev, Freed), and applications of AdS/CFT. Condensed matter, due to this and the immense wealth produced by the development of semiconductors and modern computing devices, is the largest and most active area of physics today.
As such, it has already shown to be an important proving grounds both experimentally and theoretically for methods in quantum field theory, and this continues to be the case. Modern problems focus on the engineering of artificial atoms (Quantum Dots), the theory of superconductivity for high critical temperatures (this is not explained by the usual low Tc theory), the Integer and Fractional Quantum Hall Effects; From those come emergent gauge fields, Chern-Simons theory, Topological Quantum Computing, Anyons, the Twisted-Equivariant cohomology classification of topological phases (Kitaev, Freed), and applications of AdS/CFT. Condensed matter, due to this and the immense wealth produced by the development of semiconductors and modern computing devices, is the largest and most active area of physics today.
For resources, Heidelberg University has a Condensed Matter group which focuses on engineering quantum systems: [https://www.kip.uni-heidelberg.de/cmm/teaching/2020/quantum_materials/tutorials/tut5?lang=en kondo effect in quantum dots], [http://www.kip.uni-heidelberg.de/synqs/ synthetic quantum systems]. A master's student thesis on twisted equivariant cohomology and the 10-fold way/K-theory classification is [https://webspace.science.uu.nl/~0554804/publications/bachelor.pdf here].


=== Applications ===
=== Applications ===