Challenges to observation of many-body localization
- URL: http://arxiv.org/abs/2109.13608v3
- Date: Sun, 5 Jun 2022 12:29:43 GMT
- Title: Challenges to observation of many-body localization
- Authors: Piotr Sierant and Jakub Zakrzewski
- Abstract summary: We study time dynamics of 1D disordered Heisenberg spin-1/2 chain focusing on a regime of large system sizes and a long time evolution.
We show that the regime of a slow power-law decay of imbalance persists to disorder strengths exceeding by at least a factor of 2 the current estimates of the critical disorder strength for MBL.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We study time dynamics of 1D disordered Heisenberg spin-1/2 chain focusing on
a regime of large system sizes and a long time evolution. This regime is
relevant for observation of many-body localization (MBL), a phenomenon that is
expected to freeze the dynamics of the system and prevent it from reaching
thermal equilibrium. Performing extensive numerical simulations of the
imbalance, a quantity often employed in the experimental studies of MBL, we
show that the regime of a slow power-law decay of imbalance persists to
disorder strengths exceeding by at least a factor of 2 the current estimates of
the critical disorder strength for MBL. Even though we investigate time
evolution up to few thousands tunneling times, we observe no signs of the
saturation of imbalance that would suggest freezing of system dynamics and
provide a smoking gun evidence of MBL. We demonstrate that the situation is
qualitatively different when the disorder is replaced by a quasiperiodic
potential. In this case, we observe an emergence of a pattern of oscillations
of the imbalance that is stable with respect to changes in the system size.
This suggests that the dynamics of quasiperiodic systems remain fully local at
the longest time scales we reach provided that the quasiperiodic potential is
sufficiently strong. Our study identifies challenges in an unequivocal
experimental observation of the phenomenon of MBL.
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