Phase modulation of directed transport, energy diffusion and quantum
scrambling in a Floquet non-Hermitian system
- URL: http://arxiv.org/abs/2312.08082v1
- Date: Wed, 13 Dec 2023 11:56:50 GMT
- Title: Phase modulation of directed transport, energy diffusion and quantum
scrambling in a Floquet non-Hermitian system
- Authors: Wen-Lei Zhao, Guanling Li, Jie Liu
- Abstract summary: We investigate both theoretically and numerically the wavepacket's dynamics in momentum space for a Floquet non-Hermitian system.
We have deduced the exact expression of a time-evolving wavepacket under the condition of quantum resonance.
- Score: 3.250943494257319
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We investigate both theoretically and numerically the wavepacket's dynamics
in momentum space for a Floquet non-Hermitian system with a periodically-kicked
driven potential. We have deduced the exact expression of a time-evolving
wavepacket under the condition of quantum resonance. With this analytical
expression, we can investigate thoroughly the temporal behaviors of the
directed transport, energy diffusion and quantum scrambling. We find
interestingly that, by tuning the relative phase between the real part and
imaginary part of the kicking potential, one can manipulate the directed
propagation, energy diffusion and quantum scrambling efficiently: when the
phase equals to $\pi/2$, we observe a maximum directed current and energy
diffusion, while a minimum scrambling phenomenon protected by the
$\mathcal{PT}$-symmetry; when the phase is $\pi$, both the directed transport
and the energy diffusion are suppressed, in contrast, the quantum scrambling is
enhanced by the non-Hermiticity. Possible applications of our findings are
discussed.
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