Abstract We investigate the effects of nonlinear interactions on quantum diffusion in a quasi-periodic quantum kicked rotor system, featuring a non-Hermitian kicking potential. Remarkably, when the non-Hermitian driving strength is sufficiently strong, the energy diffusion follows a power law of time, characterized by an exponent that decreases monotonically with increasing the strength of nonlinear interactions. This demonstrates the emergence of super-ballistic diffusion (SBD). We find a distinct prethermalization stage in the time domain preceding the onset of SBD. The unique quantum diffusion phenomena observed in this chaotic system can be attributed to the decoherence effects generated by the interplay between nonlinear interactions and the non-Hermitian kicking potential.
Fund: Jian-Zheng Li is supported by the Science and Technology Research Program of Jiangxi Education Department (Grant No. GJJ190463) and the Doctoral Startup Fund of Jiangxi University of Science and Technology (Grant No. 205200100067). Wen-Lei Zhao is supported by the National Natural Science Foundation of China (Grant No. 12065009), the Natural Science Foundation of Jiangxi Province (Grant Nos. 20224ACB201006 and 20224BAB201023), and the Science and Technology Planning Project of Ganzhou City (Grant No. 202101095077).
Jian-Zheng Li(李建政), Guan-Ling Li(李观玲), and Wen-Lei Zhao(赵文垒) Super-ballistic diffusion in a quasi-periodic non-Hermitian driven system with nonlinear interaction 2023 Chin. Phys. B 32 096601
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