Nonlinear Anderson localization in Toda lattices
arXiv:2106.07147 · doi:10.7566/JPSJ.90.104704
Abstract
We study the Anderson localization in nonlinear systems by taking a nonlinear transmission line realizing the Toda lattice. It is found that the randomness in inductance induces the Anderson localization in the voltage propagation. Furthermore, the nonlinearity enhances the Anderson localization. They are understood in terms of attractive interactions to form a soliton in a nonlinear system. Our results will be applicable in general to the Anderson localization in nonlinear systems that have solitons.
arXiv comment5 pages, 5 figures
References in corpus (21)
- Anderson localization of a non-interacting Bose-Einstein condensate
- Topolectrical circuit realization of topological corner modes
- Anderson localization and nonlinearity in one dimensional disordered photonic lattices
- Topolectrical circuits
- Destruction of Anderson localization by a weak nonlinearity
- Chiral voltage propagation in a self-calibrated topolectrical Chern circuit
- Observation of Quadrupole Transitions and Edge Mode Topology in an LC network
- Higher-order topological electric circuits and topological corner resonance on the breathing Kagome and pyrochlore lattices
- Non-Hermitian higher-order topological states in nonreciprocal and reciprocal systems with their electric-circuit realization
- Band structure engineering and reconstruction in electric circuit networks
- Probing the Berry Curvature and Fermi Arcs of a Weyl Circuit
- Non-Hermitian boundary and interface states in nonreciprocal higher-order topological metals and electrical circuits
- Active topolectrical circuits
- Topological nodal states in circuit lattice
- Topological circuits of inductors and capacitors
- Braiding of Majorana corner states in electric circuits and its non-Hermitian generalization
- Imaging nodal knots in momentum space through topolectrical circuits
- Electric-circuit simulation of the Schrödinger equation and non-Hermitian quantum walks
- Non-Abelian braiding of Majorana-like edge states and topological quantum computations in electric circuits
- Electric circuits for universal quantum gates and quantum Fourier transformation
- Dirac formulation for universal quantum gates and Shor's integer factorization in high-frequency electric circuits