PHYS 566 Special Topics in Condensed Matter Physics IV
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Exactly solved models in quantum and classical physics. Two-dimensional lsing model; dual lattices, transfer matrix, monodromoy matrix, star-triangle relations and the Yang-Baxter equation; Ice models. The coordinate Bethe ansatz for some lattice (Heisenberg, Hubbard) and continuous models (Lieb-Liniger gas). The relation between the solution of one-dimensional quantum and two-dimensional classical models; algebraic Bethe ansatz. Introduction to numerical approaches which provide solutions to the above models including Monte Carlo methods and the density-matrix renormalization group method.
Credit units: 3 ECTS Credit units: 5.
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