AUTHOR=Serna Pablo , Ortuño Miguel , Somoza Andrés M. TITLE=Displacement Transformations as a Tool to Study Many-Body Localization JOURNAL=Frontiers in Physics VOLUME=9 YEAR=2021 URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2021.767001 DOI=10.3389/fphy.2021.767001 ISSN=2296-424X ABSTRACT=

We obtain eigenstates of interacting disorder Hamiltonians using unitary displacement transformations that rotate the state of the system. The method generates excited states if the strength of these transformations is chosen to optimize the energy, while decreasing the energy variance. We apply the method to analyse the localization properties of one-dimensional spinless fermions with short range interactions, reaching relatively large system sizes. We quantify the degree of localization through the size and disorder dependence of the inverse participation ratio.