Classification of the conditionally observable spectra exhibiting central symmetry

Abstract

We show how in PT-symmetric 2J-level quantum systems the assumption of an upside-down symmetry (or duality) of their spectra simplifies their classification based on the non-equivalent pairwise mergers of the energy levels.

10 pp. 3 figures

References in corpus (5)

• Tridiagonal PT-symmetric N by N Hamiltonians and a fine-tuning of their observability domains in the strongly non-Hermitian regime
• Maximal couplings in PT-symmetric chain-models with the real spectrum of energies
• A return to observability near exceptional points in a schematic PT-symmetric model
• Conditional observability
• Determination of the domain of the admissible matrix elements in the four-dimensional PT-symmetric anharmonic model