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arXiv · 1709.10351

Reduced-basis approach to many-body localization

Peter Prelovšek·Osor S. Barišić·Marcin Mierzejewski
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Abstract

Within the standard model of many-body localization, i.e., the disordered chain of spinless fermions, we investigate how the interaction affects the many-body states in the basis of noninteracting localized Anderson states. From this starting point we follow the approach that uses a reduced basis of many-body states. Together with an extrapolation to the full basis, it proves to be efficient for the evaluation of the stiffnesses of local observables, which remain finite within the non-ergodic regime and represent the hallmark of the many-body localization (MBL). The method enables a larger span of system sizes and, within the MBL regime, allows for a more careful analysis of the size scaling of calculated quantities. On the other hand, the survival stiffness as the representative of non--local quantities, reveals limitations of the reduced-basis approach.

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Peter Prelovšek, Osor S. Barišić, Marcin Mierzejewski. 2018-03-13. Reduced-basis approach to many-body localization. https://doi.org/10.1103/physrevb.97.035104

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