# Projected Density Matrix Embedding Theory with Applications to the Two-Dimensional Hubbard Model

## TL;DR

This paper introduces p-DMET, a new quantum embedding method that achieves self-consistency without optimizing a correlation potential, demonstrated on the 2D Hubbard model.

## Contribution

p-DMET is a novel approach that simplifies the DMET self-consistency process by removing the need for correlation potential optimization.

## Key findings

- p-DMET successfully applied to the 2D Hubbard model
- Reduces computational complexity in DMET calculations
- Achieves accurate results without correlation potential optimization

## Abstract

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 of the correlation potential to achieve self-consistency, especially for heterogeneous systems of large size. We propose a new method, called projected density matrix embedding theory (p-DMET), which achieves self-consistency without needing to optimize a correlation potential. We demonstrate the performance of p-DMET on the two-dimensional Hubbard model.