Comparison of MPS based real time evolution algorithms for Anderson Impurity Models

Understand

We perform a detailed comparison of two Matrix Product States (MPS) based time evolution algorithms for Anderson Impurity Models.

• To describe the bath, we use both the star-geometry as well as the commonly employed Wilson chain geometry.
• For each bath geometry, we use either the Time Dependent Variational Principle (TDVP) or the Time Evolving Block Decimation (TEBD) to perform the time evolution.
• To apply TEBD for the star-geometry, we use a specially adapted algorithm that can deal with the long-range coupling terms.