Interior eigenvalue problem for localisable quantum lattice models in condensed matter

Abstract: I will provide an overview of numerical techniques that have been proposed to obtain eigenstates deep in the middle of the spectrum of many-body quantum systems. This problem is particularly relevant for systems which do not follow the eigenstate thermalization hypothesis. I will discuss spectral transforms methods -- trying to review different strategies and works --, and focus in particular ont the shift-invert technique. Examples of applications in the field of many-body localization will also be presented. In conclusion, perspectives will be given on how to perhaps improve these methods and applications to other fields.

condensed matterHEP - theory

Audience: researchers in the topic

Numerical Methods in Theoretical Physics