We study the dynamical behavior of the one-dimensional Anderson insulator in the presence of a local noise. We show that the noise induces logarithmically slow energy and entanglement growth, until the system reaches an infinite-temperature state, where both quantities saturate to extensive values. The saturation value of the entanglement entropy approaches the average entanglement entropy over all possible product states. At infinite temperature, we find that a density excitation spreads logarithmically with time, without any signs of asymptotic diffusive behavior. In addition, we provide a theoretical picture which qualitatively reproduces the phenomenology of particle transport.
Cited by 3
Brighi et al., Propagation of many-body localization in an Anderson insulator
Phys. Rev. B 105, L220203 (2022) [Crossref]
Zhou et al., Exponential size scaling of the Liouvillian gap in boundary-dissipated systems with Anderson localization
Phys. Rev. B 106, 064203 (2022) [Crossref]
Brighi et al., Localization of a mobile impurity interacting with an Anderson insulator
Phys. Rev. B 105, 224208 (2022) [Crossref]
Authors / Affiliation: mappings to Contributors and OrganizationsSee all Organizations.
- Israel Science Foundation [ISF]
- National Science Foundation [NSF]
- United States - Israel Binational Science Foundation (through Organization: United States-Israel Binational Science Foundation [BSF])