Creating quanta with an ‘annihilation’ operator

@article{Mizrahi2002CreatingQW,
  title={Creating quanta with an ‘annihilation’ operator},
  author={Salomon S. Mizrahi and V. V. Dodonov},
  journal={Journal of Physics A},
  year={2002},
  volume={35},
  pages={8847-8857}
}
The asymmetric nature of the boson ‘destruction’ operator ˆ a and its ‘creation’ partner ˆ a † is made apparent by applying them to a quantum state |ψ� different from the Fock state |n� .W e show that it is possible to increase (by many times or by any quantity) the mean number of quanta in the new ‘photonsubtracted’ state ˆ a|ψ� .M oreover, for certain ‘hyper-Poissonian’ states |ψ� the mean number of quanta in the (normalized) state ˆ a|ψ� can be much greater than in the ‘photon-added’ state… 

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