Five years of density matrix embedding theory
Sebastian Wouters, Carlos A. Jim\'enez-Hoyos, Garnet K.-L. Chan

TL;DR
This paper reviews five years of development in density matrix embedding theory (DMET), highlighting its ability to model quantum entanglement in finite fragments and discussing various formulations and applications.
Contribution
It provides a comprehensive review of DMET's formulations, applications, and a proof for obtaining local density of states using bath orbitals.
Findings
DMET effectively models quantum entanglement in embedded systems.
The paper discusses both ground-state and response theory formulations.
A proof shows local density of states can be derived from bath orbitals.
Abstract
Density matrix embedding theory (DMET) describes finite fragments in the presence of a surrounding environment. In contrast to most embedding methods, DMET explicitly allows for quantum entanglement between both. In this chapter, we discuss both the ground-state and response theory formulations of DMET, and review several applications. In addition, a proof is given that the local density of states can be obtained by working with a Fock space of bath orbitals.
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