Optimized Binomial Quantum States of Complex Oscillators with Real   Spectrum
  Classical and nonclassical states of quantum complex oscillators with real spectrum are presented. Such states are bi-orthonormal superpositions of $n+1$ energy eigenvectors of the system with binomial-like coefficients. For large values of $n$ these optimized binomial states behave as photon added coherent states when the imaginary part of the potential is cancelled. 
Kevin D. Zelaya and Oscar Rosas-Ortiz
quant-ph