Palmero F, English L Q, Chen Xuan-Lin, Li Weilun, Cuevas-Maraver Jesús, Kevrekidis P G
Grupo de Física No Lineal, Departamento de Física Aplicada I, Escuela Técnica Superior de Ingeniería Informática, Universidad de Sevilla, Avda Reina Mercedes s/n, E-41012 Sevilla, Spain.
Department of Physics and Astronomy, Dickinson College, Carlisle, Pennsylvania 17013, USA.
Phys Rev E. 2019 Mar;99(3-1):032206. doi: 10.1103/PhysRevE.99.032206.
We observe dark and bright intrinsic localized modes (ILMs), also known as discrete breathers, experimentally and numerically in a diatomic-like electrical lattice. The experimental generation of dark ILMs by driving a dissipative lattice with spatially homogenous amplitude is, to our knowledge, unprecedented. In addition, the experimental manifestation of bright breathers within the band gap is also novel in this system. In experimental measurements the dark modes appear just below the bottom of the top branch in frequency. As the frequency is then lowered further into the band gap, the dark ILMs persist, until the nonlinear localization pattern reverses and bright ILMs appear on top of the finite background. Deep into the band gap, only a single bright structure survives in a lattice of 32 nodes. The vicinity of the bottom band also features bright and dark self-localized excitations. These results pave the way for a more systematic study of dark breathers and their bifurcations in diatomic-like chains.
我们通过实验和数值模拟在类双原子电晶格中观测到了暗的和亮的本征局域模(ILMs),也称为离散呼吸子。据我们所知,通过用空间均匀振幅驱动耗散晶格来实验产生暗ILMs是前所未有的。此外,带隙内亮呼吸子的实验表现在此系统中也是新颖的。在实验测量中,暗模出现在频率上分支底部稍下方。随着频率进一步降低进入带隙,暗ILMs持续存在,直到非线性局域模式反转,亮ILMs出现在有限背景之上。深入带隙,在一个32节点的晶格中只有一个亮结构存活。带底附近也有亮的和暗的自局域激发。这些结果为更系统地研究类双原子链中的暗呼吸子及其分岔铺平了道路。