Zero width resonance (spectral singularity) in a complex PT-symmetric potential

作者: Zafar Ahmed

DOI: 10.1088/1751-8113/42/47/472005

关键词:

摘要: We show that the complex PT-symmetric potential V(x) = −V1 sech2x + iV2 sech xtanh x entails a single zero-width resonance (spectral singularity) when and positive resonant energy is given as .

参考文章(21)
Rajkumar Roychoudhury, Anjana Sinha, Isospectral partners of a complex PT-invariant potential Physics Letters A. ,vol. 301, pp. 163- 172 ,(2002) , 10.1016/S0375-9601(02)00736-3
K. G. Makris, R. El-Ganainy, D. N. Christodoulides, Z. H. Musslimani, Beam dynamics in PT symmetric optical lattices. Physical Review Letters. ,vol. 100, pp. 103904- ,(2008) , 10.1103/PHYSREVLETT.100.103904
G. Lévai, F. Cannata, A. Ventura, PT symmetry breaking and explicit expressions for the pseudo-norm in the Scarf II potential Physics Letters A. ,vol. 300, pp. 271- 281 ,(2002) , 10.1016/S0375-9601(02)00779-X
Chun-Sheng Jia, Shu-Chuan Li, Yun Li, Liang-Tian Sun, Pseudo-Hermitian potential models with PT symmetry☆ Physics Letters A. ,vol. 300, pp. 115- 121 ,(2002) , 10.1016/S0375-9601(02)00826-5
Zafar Ahmed, Schrödinger transmission through one-dimensional complex potentials Physical Review A. ,vol. 64, pp. 042716- ,(2001) , 10.1103/PHYSREVA.64.042716
A. Guo, G. J. Salamo, D. Duchesne, R. Morandotti, M. Volatier-Ravat, V. Aimez, G. A. Siviloglou, D. N. Christodoulides, Observation of PT-Symmetry Breaking in Complex Optical Potentials Physical Review Letters. ,vol. 103, pp. 093902- 093902 ,(2009) , 10.1103/PHYSREVLETT.103.093902