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Photon-added squeezed vacuum (one-photon) state as an even (odd) nonlinear coherent state

2000; Institute of Physics; Volume: 33; Issue: 9 Linguagem: Inglês

10.1088/0305-4470/33/9/315

1361-6447

Nai-Le Liu, Zhihu Sun, Hong-Yi Fan,

Advanced Fiber Laser Technologies

We show that the photon-added squeezed vacuum am S (z )|0 and the photon-added squeezed one-photon state am S (z )|1 , where mis a non-negative integer, may be regarded as even and odd nonlinear coherent states, respectively. To achieve this, we derive an operator-valued function f (N ,m ) of the number operator N= a asuch that am S (z )|i (i= 0,1) are eigenstates of f (N ,m )a2 . Based on this, and using the unified method developed by Shanta et al , we find that am S (z )|i can be equivalently expressed in exponential forms. The eigenstates of f (N ,-m )a2are also constructed and their nonclassical features are studied in detail.