Quantum Impurity and Quantum Embedding Theory - IPAM at UCLA
Institute for Pure & Applied Mathematics (IPAM) via YouTube
Overview
Syllabus
Intro
Quantum many body problem
Simplest setting: non-interacting system
Next simplest setup: quantum impurity problem
Examples of (static) quantum embedding theory
A concise derivation of DMET: bath construction from non-interacting systems
Basis rotation
Interacting impurity Hamiltonian
Matching condition
Least squares (LS-DMET)
Reformulate the fitting problem
Convex optimization (CVX-DMET)
What to do with gapless problems?
Basic structure quantum impurity: sparsity of the self energy
Examples of dynamical quantum embedding theory
Enhancing the robustness of DMFT using semidefinite relaxation (SDA)
Luttinger Ward functional
Domain of Green's function
Lindsey's conjecture on the domain of LW functional
Conclusion
Taught by
Institute for Pure & Applied Mathematics (IPAM)