Arbitrarily configurable nonlinear topological modes
- URL: http://arxiv.org/abs/2402.07224v1
- Date: Sun, 11 Feb 2024 15:14:59 GMT
- Title: Arbitrarily configurable nonlinear topological modes
- Authors: Kai Bai and Jia-Zheng Li and Tian-Rui Liu and Liang Fang and Duanduan
Wan and Meng Xiao
- Abstract summary: Topological modes (TMs) are typically localized at boundaries, interfaces and dislocations, and exponentially decay into the bulk of a large enough lattice.
Recently, the non-Hermitian skin effect has been leveraged to delocalize the wavefunctions of TMs from the boundary.
Here, we explore the capability of nonlinearity in designing and reconfiguring the wavefunctions of TMs.
- Score: 6.50749234073526
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Topological modes (TMs) are typically localized at boundaries, interfaces and
dislocations, and exponentially decay into the bulk of a large enough lattice.
Recently, the non-Hermitian skin effect has been leveraged to delocalize the
wavefunctions of TMs from the boundary and thus to increase the capacity of TMs
dramatically. Here, we explore the capability of nonlinearity in designing and
reconfiguring the wavefunctions of TMs. With growing intensity, wavefunctions
of these in-gap nonlinear TMs undergo an initial deviation from exponential
decay, gradually merge into arbitrarily designable plateaus, then encompass the
entire nonlinear domain, and eventually concentrate at the nonlinear boundary.
Intriguingly, such extended nonlinear TMs are still robust against defects and
disorders, and stable in dynamics under external excitation. Advancing the
conceptual understanding of the nonlinear TMs, our results open new avenues for
increasing the capacity of TMs and developing compact and reconfigurable
topological devices.
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