September 2011
Mon Tue Wed Thu Fri Sat Sun
« Aug   Oct »
1234
567891011
12131415161718
19202122232425
2627282930

## Hermitian scattering behavior for the non-Hermitian scattering center

L. Jin, Z. Song

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 $$|r| ^{2}+|t| ^{2}=1$$, 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.

http://arxiv.org/abs/1109.2187
Quantum Physics (quant-ph)