English

Nonclassical States for Non-Hermitian Hamiltonians with the Oscillator Spectrum

Quantum Physics 2020-01-13 v2

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.

Keywords

Cite

@article{arxiv.1707.05367,
  title  = {Nonclassical States for Non-Hermitian Hamiltonians with the Oscillator Spectrum},
  author = {K Zelaya and S. Dey and V. Hussin and O. Rosas-Ortiz},
  journal= {arXiv preprint arXiv:1707.05367},
  year   = {2020}
}

Comments

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