Disentangling Interacting Systems with Fermionic Gaussian Circuits: Application to the Single Impurity Anderson Model

Tensor network representations of quantum many-body states provide a powerful tool to describe strongly correlated systems. By applying a specific change of basis, defined by a quantum circuit obtained when compressing a fermionic Gaussian state, we find drastically improved computational efficiency. As an example of the approach, we study the 1D single impurity Anderson model and find the basis transformation helps in interpreting the impurity physics. The Gaussian multi-scale entanglement renormalization ansatz circuits are introduced, where emergent coarse-grained models are studied both in terms of entanglement and time evolution.