41 citations · 161 across the 21 of their papers we have counts for
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Variational embedding for quantum many-body problems
Lin Lin, Michael Lindsey
Quantum embedding theories are powerful tools for approximately solving large-scale strongly correlated quantum many-body problems. The main idea of quantum embedding is to glue to…
Efficient hybridization fitting for dynamical mean-field theory via semi-definite relaxation
Carlos Mejuto-Zaera, Leonardo Zepeda-Núñez, Michael Lindsey +3
We introduce a nested optimization procedure using semi-definite relaxation for the fitting step in Hamiltonian-based cluster dynamical mean-field theory (DMFT) methodologies. We s…
Semidefinite relaxation of multi-marginal optimal transport for strictly correlated electrons in second quantization
Yuehaw Khoo, Lin Lin, Michael Lindsey +1
We consider the strictly correlated electron (SCE) limit of the fermionic quantum many-body problem in the second-quantized formalism. This limit gives rise to a multi-marginal opt…
Projected Density Matrix Embedding Theory with Applications to the Two-Dimensional Hubbard Model
Xiaojie Wu, Zhi-Hao Cui, Yu Tong +3
Density matrix embedding theory (DMET) is a quantum embedding theory for strongly correlated systems. From a computational perspective, one bottleneck in DMET is the optimization o…
Sparsity pattern of the self-energy for classical and quantum impurity problems
Lin Lin, Michael Lindsey
We prove that for various impurity models, in both classical and quantum settings, the self-energy matrix is a sparse matrix with a sparsity pattern determined by the impurity site…