Non-Floquet engineering in periodically driven non-Hermitian systems
- URL: http://arxiv.org/abs/2105.10980v1
- Date: Sun, 23 May 2021 17:26:44 GMT
- Title: Non-Floquet engineering in periodically driven non-Hermitian systems
- Authors: Huan-Yu Wang, Xiao-Ming Zhao, Lin Zhuang, Wu-Ming Liu
- Abstract summary: Floquet engineering lies at the central part for realizing novel topological dynamical states.
In non-Floquet theory, the eigenstates of non-Hermitian Floquet Hamiltonian are temporally deformed to be of Wannier-Stark localization.
Our protocols establish a fundamental rule for describing topological features in non-Hermitian dynamical systems.
- Score: 6.171990546748667
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Floquet engineering, modulating quantum systems in a time periodic way, lies
at the central part for realizing novel topological dynamical states. Thanks to
the Floquet engineering, various new realms on experimentally simulating
topological materials have emerged. Conventional Floquet engineering, however,
only applies to time periodic non-dissipative Hermitian systems, and for the
quantum systems in reality, non-Hermitian process with dissipation usually
occurs. So far, it remains unclear how to characterize topological phases of
periodically driven non-Hermitian systems via the frequency space Floquet
Hamiltonian. Here, we propose the non-Floquet theory to identify different
Floquet topological phases of time periodic non-Hermitian systems via the
generation of Floquet band gaps in frequency space. In non-Floquet theory, the
eigenstates of non-Hermitian Floquet Hamiltonian are temporally deformed to be
of Wannier-Stark localization. Remarkably, we show that different choices of
starting points of driving period can result to different localization
behavior, which effect can reversely be utilized to design detectors of quantum
phases in dissipative oscillating fields. Our protocols establish a fundamental
rule for describing topological features in non-Hermitian dynamical systems and
can find its applications to construct new types of Floquet topological
materials.
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