Fig. 4: Comparison of the self-trapping tendency between a Hermitian and a non-Hermitian lattice.
From: Self-trapping and skin solitons in two-dimensional non-Hermitian lattices
a A Hermitian lattice (h = 0) and b a non-Hermitian lattice with non-Hermiticity parameter h = 0.2, for single-site excitation at the center, i.e., \({\psi }_{{n}_{x},{n}_{y}}(z=0)=A\,{\delta }_{{n}_{x},13}{\delta }_{{n}_{y},13}\), where A is the excitation amplitude. The normalized amplitudes \(| {\psi }_{{n}_{x},{n}_{y}}(z=5)|\) (color map) are plotted for pertinent values of A (left panels), and the inverse participation ratio (IPR) for z = 5 is shown as a function of A (right panels). Red dots correspond to the values of A used in the left panels. In all color maps, the wavefunctions are normalized such that their maximum amplitude equals unity.
