Fig. 1: The implementation of the nonlinear trimer EC lattice and the realization of quench dynamics.
From: Observation of edge solitons and transitions between them in a trimer circuit lattice
a The schematic of the nonlinear trimer lattice, where J and \({J}^{{\prime} }\) represent the intra- and inter-cell hopping amplitudes, respectively, and onsite energy E at each site depends on the wave function of that site, \({\psi }_{n}^{\,{\mbox{A,B,C}}\,}\). b The circuit implementation of the nonlinear trimer lattice, where the node voltages correspond to the wave functions at the lattice sites, capacitors C1 and C2 emulate the intra- and inter-cell hopping amplitudes, respectively. The onsite nonlinearity is provided by the common-cathode diodes, which exhibit voltage-dependent capacitance Cv. In the two leftmost nonlinear LC oscillators, SPDT switches and DC voltage sources are employed to implement the quench dynamics. c The illustration of the quench dynamics, which involves two steps, viz., the preparation of the initial state and its subsequent time evolution. The charging of capacitors and diodes corresponds to the preparation of the initial state, while the discharging represents the evolution in the EC lattice. d The experimental sample of the nonlinear trimer EC lattice. The inset shows an enlarged fragment with typical circuit components. Experimentally, we use two common-cathode diodes connected in parallel to provide the capacitance Cv.
