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Optimized Binomial Quantum States of Complex Oscillators with Real Spectrum

Quantum Physics 2016-05-05 v1

Abstract

Classical and nonclassical states of quantum complex oscillators with real spectrum are presented. Such states are bi-orthonormal superpositions of n+1n+1 energy eigenvectors of the system with binomial-like coefficients. For large values of nn these optimized binomial states behave as photon added coherent states when the imaginary part of the potential is cancelled.

Keywords

Cite

@article{arxiv.1605.01328,
  title  = {Optimized Binomial Quantum States of Complex Oscillators with Real Spectrum},
  author = {Kevin D. Zelaya and Oscar Rosas-Ortiz},
  journal= {arXiv preprint arXiv:1605.01328},
  year   = {2016}
}
R2 v1 2026-06-22T13:53:18.749Z