Tightly bound states in a uniform field with asymmetric tunneling
Huan‐Yu Wang, Wu-Ming Liu
Abstract
We investigate the localization behavior of the non-Hermitian tightly bound state in the presence of asymmetric tunneling and external uniform fields in various dimensions, where the discrete translational symmetry and the inversion symmetry are broken. We demonstrate that the non-Hermitian skin effects can still exist and compete with Wannier-Stark localization induced by the uniform fields. The total localization is not only related to the size of the system, but the net tunneling strength as well. For the two-dimensional lattices with square shape boundaries, the uniform fields can pull back the population of the states at the corner and the fading stripe localization can be observed as a compromise between the two-dimensional non-Hermitian skin effects and the uniform fields. The experimental simulation of the non-Hermitian chain with uniform fields can be achieved by the methods of electrical circuits.