Dynamical transition of quantum scrambling in a non-Hermitian Floquet
synthetic system
- URL: http://arxiv.org/abs/2401.11059v1
- Date: Fri, 19 Jan 2024 23:22:46 GMT
- Title: Dynamical transition of quantum scrambling in a non-Hermitian Floquet
synthetic system
- Authors: Liang Huo, Han Ke, Wen-Lei Zhao
- Abstract summary: We investigate quantum scrambling in a non-Hermitian quantum kicked rotor subjected to quasi-periodical modulation in kicking potential.
We find the dynamical transition from the freezing phase to the chaotic scrambling phase, which is assisted by increasing the real part of the kicking potential.
The underlying mechanism is uncovered by the extension of the Floquet theory.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We investigate the dynamics of quantum scrambling, characterized by the
out-of-time ordered correlators (OTOCs), in a non-Hermitian quantum kicked
rotor subjected to quasi-periodical modulation in kicking potential.
Quasi-periodic modulation with incommensurate frequencies creates a
high-dimensional synthetic space, where two different phases of quantum
scrambling emerge: the freezing phase characterized by the rapid increase of
OTOCs towards saturation, and the chaotic scrambling featured by the linear
growth of OTOCs with time. We find the dynamical transition from the freezing
phase to the chaotic scrambling phase, which is assisted by increasing the real
part of the kicking potential along with a zero value of its imaginary part.
The opposite transition occurs with the increase in the imaginary part of the
kicking potential, demonstrating the suppression of quantum scrambling by
non-Hermiticity. The underlying mechanism is uncovered by the extension of the
Floquet theory. Possible applications in the field of quantum information are
discussed.
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