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Hermitian scattering behavior for the non-Hermitian scattering center
We study the scattering problem for the non-Hermitian scattering center,
which consists of two Hermitian clusters with anti-Hermitian couplings between
them. Counterintuitively, it is shown that it acts as a Hermitian scattering
center, satisfying , i.e., the Dirac probability current
is conserved, when one of two clusters is embedded in the waveguides. This
conclusion can be applied to an arbitrary parity-symmetric real Hermitian graph
with additional PT-symmetric potentials, which is more feasible in experiment.
Exactly solvable model is presented to illustrate the theory. Bethe ansatz
solution indicates that the transmission spectrum of such a cluster displays
peculiar feature arising from the non-Hermiticity of the scattering center.Comment: 6 pages, 2 figure
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