@article{MulanskyPicovsky2012,
  author    = {Mulansky, Mario and Picovsky, Arkady S.},
  title     = {Re-localization due to finite response times in a nonlinear Anderson chain},
  series = {The European physical journal : B, Condensed matter and complex systems},
  volume    = {85},
  journal   = {The European physical journal : B, Condensed matter and complex systems},
  number    = {3},
  publisher = {Springer},
  address   = {New York},
  issn      = {1434-6028},
  doi       = {10.1140/epjb/e2012-21040-5},
  pages     = {3},
  year      = {2012},
  abstract  = {We study a disordered nonlinear Schrodinger equation with an additional relaxation process having a finite response time tau. Without the relaxation term, tau = 0, this model has been widely studied in the past and numerical simulations showed subdiffusive spreading of initially localized excitations. However, recently Caetano et al. [Eur. Phys. J. B 80, 321 (2011)] found that by introducing a response time tau > 0, spreading is suppressed and any initially localized excitation will remain localized. Here, we explain the lack of subdiffusive spreading for tau > 0 by numerically analyzing the energy evolution. We find that in the presence of a relaxation process the energy drifts towards the band edge, which enforces the population of fewer and fewer localized modes and hence leads to re-localization. The explanation presented here relies on former findings by Mulansky et al. [Phys. Rev. E 80, 056212 (2009)] on the energy dependence of thermalized states.},
  language  = {en}
}