Spectral singularity in composite systems and simulation of a resonant lasing cavity
Abstract
We investigate herein the existence of spectral singularities (SSs) in composite systems that consist of two separate scattering centers A and B embedded in one-dimensional free space, with at least one scattering center being non-Hermitian. We show that such composite systems have an SS at kc if the reflection amplitudes rA≤ft(kc\right) and rB≤ft(kc\right) of the two scattering centers satisfy the condition rR A≤ft(kc\right) rLB≤ft(kc\right) ei2kc≤ft(xB-xA\right) =1 . We also extend the condition to the system with multi-scattering centers. As an application, we construct a simple system to simulate a resonant lasing cavity.
- Publication:
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Journal of Physics A Mathematical General
- Pub Date:
- October 2017
- DOI:
- 10.1088/1751-8121/aa850f
- arXiv:
- arXiv:1709.10238
- Bibcode:
- 2017JPhA...50N5302Z
- Keywords:
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- Quantum Physics
- E-Print:
- 12 pages, 5 figures