Abstract
The quantum dynamics of a complexified position-dependent effective-mass system is considered within the framework of the δ-function kicking perturbation. The absorptive/dissipative dynamics of the system exhibits energy crossing subject to different parametrization of space deformation upon time evolution, which is reminiscent of chaotic behavior in quantum systems. It is also observed a cross-over from ballistic dissipation to dynamic localization for decreasing perturbation strengths.
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