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Quantum Impurity and Quantum Embedding Theory - IPAM at UCLA
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- 1 Intro
- 2 Quantum many body problem
- 3 Simplest setting: non-interacting system
- 4 Next simplest setup: quantum impurity problem
- 5 Examples of (static) quantum embedding theory
- 6 A concise derivation of DMET: bath construction from non-interacting systems
- 7 Basis rotation
- 8 Interacting impurity Hamiltonian
- 9 Matching condition
- 10 Least squares (LS-DMET)
- 11 Reformulate the fitting problem
- 12 Convex optimization (CVX-DMET)
- 13 What to do with gapless problems?
- 14 Basic structure quantum impurity: sparsity of the self energy
- 15 Examples of dynamical quantum embedding theory
- 16 Enhancing the robustness of DMFT using semidefinite relaxation (SDA)
- 17 Luttinger Ward functional
- 18 Domain of Green's function
- 19 Lindsey's conjecture on the domain of LW functional
- 20 Conclusion
