Time evolution of non-ergodic extended states

ORAL

Abstract

Increasing onsite disorder in an isolated Heisenberg spin-1/2 chain leads to the transition from chaos to many-body localization. We obtain a semi-analytical expression for the entire evolution of the survival probability in the intermediate region between chaos and localization. This expression captures the quantity's initial power-law decay, as well as the correlation hole and the ramp toward saturation. We find very good agreement with our numerical results.

*This research was supported by the United States National Science Foundation (NSF, Grant No. DMR-1936006)Institute of Physics, Benemérita Universidad Autónoma de PueblaCONACYT, México

–

Presenters

  • David A Zarate

    • Benemérita Universidad Autónoma de Puebla

Authors

  • David A Zarate

    • Benemérita Universidad Autónoma de Puebla

  • Lea F Santos

    • Yeshiva Univ
    • Yeshiva University
    • yeshiva university (USA)

  • Eduardo J Torres

    • Instituto de Física, Benemérita Universidad Autónoma de Puebla
    • Benemérita Universidad Autónoma de Puebla