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In this work, the non-Markovian dynamics of excitation in the generalized Aubry-Andr{e}-Harper model coupled with an Ohmic-type environment is discussed in detail by evaluating the survival probability and inverse participation ratio of the state of system. Contrary to the common belief that localization will preserve the information of the initial state in the system against dissipation into the environment, this study found that strong localization can enhance the dissipation of quantum information. Through a thorough examination, we show that the non-Markovianity induced by the memory effect of the environment was responsible for this behavior. Under this circumstance, the exchange of energy between the system and its environment may lead to interference in the reduced energy levels of the system, that are also responsible for the stability of the system. In term of strong localization, the difference between reduced energy levels will become large, to the degree that the environment cannot feed back enough energy into the system. As a result, the initial-state information will eventually dissipate. This explanation was verified herein by an increase of the coupling strength between the system and its environment, which greatly reduced the decaying of quantum information.
We investigate the nonequilibrium dynamics of the one-dimension Aubry-Andr{e}-Harper model with $p$-wave superconductivity by changing the potential strength with slow and sudden quench. Firstly, we study the slow quench dynamics from localized phase
A generalization of the Aubry-Andre-Harper (AAH) model is developed, containing a tunable phase shift between on-site and off-diagonal modulations. A localization transition can be induced by varying just this phase, keeping all other model parameter
Using synthetic lattices of laser-coupled atomic momentum modes, we experimentally realize a recently proposed family of nearest-neighbor tight-binding models having quasiperiodic site energy modulation that host an exact mobility edge protected by a
Off-diagonal Aubry-Andr{e} (AA) model has recently attracted a great deal of attention as they provide condensed matter realization of topological phases. We numerically study a generalized off-diagonal AA model with p-wave superfluid pairing in the
We study the many-body localization (MBL) transition of Floquet eigenstates in a driven, interacting fermionic chain with an incommensurate Aubry-Andr{e} potential and a time-periodic hopping amplitude as a function of the drive frequency $omega_D$ u