Supersymmetry and the spontaneous breakdown of PT symmetry

Authors
Dorey, P Dunning, C Tateo, R
Citation
P. Dorey et al., Supersymmetry and the spontaneous breakdown of PT symmetry, J PHYS A, 34(28), 2001, pp. L391-L400
Citations number
44
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
34
Issue
28
Year of publication
2001
Pages
L391 - L400
Database
ISI
SICI code
0305-4470(20010720)34:28<L391:SATSBO>2.0.ZU;2-V
Abstract
The appearances of complex eigenvalues in the spectra of PT-symmetric quant um mechanical systems are usually associated with a spontaneous breaking of PT. In this Letter we discuss a family of models for which this phenomenon is also linked with an explicit breaking of supersymmetry. Exact level-cro ssings are located, and connections with N-fold supersymmetry and quasi-exa ct solvability in certain special cases are pointed out.