Dynamical evolution in a one-dimensional incommensurate lattice with PT symmetry

We investigate the dynamical evolution of a parity-time (PT) symmetric extension of the Aubry-Andre (AA) model, which exhibits the coincidence of a localization-delocalization transition point with a PT symmetry breaking point. One can apply the evolution of the profile of the wave packet and the long-time survival probability to distinguish the localization regimes in the PT symmetric AA model. The results of the mean displacement show that when the system is in the PT symmetry unbroken regime, the wave-packet spreading is ballistic, which is different from that in the PT symmetry broken regime. Furthermore, we discuss the distinctive features of the Loschmidt echo with the postquench parameter being localized in different PT symmetric regimes regimes.

Automated summary

This study investigates the dynamical evolution of a PT symmetric extension of the Aubry-Andre model, which shows the coincidence of a localization-delocalization transition point with a PT symmetry breaking point. The behavior of wave packet spreading differs between the PT symmetry unbroken regime and the PT symmetry broken regime. Distinctive features of the Loschmidt echo with the postquench parameter being localized in different PT symmetric regimes are discussed.