Nonclassical States for Non-Hermitian Hamiltonians with the Oscillator Spectrum

Abstract

We show that the standard techniques that are utilized to study the classical like properties of the pure states for Hermitian systems can be adjusted to investigate the classicality of pure states for non-Hermitian systems. The method is applied to the states of complex-valued potentials that are generated by Darboux transformations and can model both non-PT-symmetric and PT-symmetric oscillators exhibiting real spectra.

32 pages, 23 figures. Rewritten version with new figures and new references

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• An introductory review on resource theories of generalized nonclassical light
• Susy for non-Hermitian Hamiltonians, with a view to coherent states
• Local preservation of no-signaling in multiparty PT-symmetric evolutions