Excited K-quantum nonlinear coherent states

We define the excited K-quantum nonlinear coherent state and prove that it is indeed a K-quantum nonlinear coherent state characterized by another nonlinear function whose general expression is found in an explicit form. We also demonstrate that antibunching is more prominent in the excited K-quantum nonlinear coherent state than in the corresponding K-quantum nonlinear coherent state.

[1]  V. Dodonov.  REVIEW ARTICLE: `Nonclassical' states in quantum optics: a `squeezed' review of the first 75 years , 2002 .

[2]  N. An,et al.  Flower-like squeezing in the motion of a laser-driven trapped ion , 2001, quant-ph/0111150.

[3]  B. A. Nguyen.  Multi-directional higher-order amplitude squeezing , 2001 .

[4]  Xiao-Ming Liu.  Orthonormalized eigenstates of the operator {(aqf(Nq))}k (k⩾1) and their generation , 2000 .

[5]  S. Solimeno,et al.  Trapped ions in laser fields: A benchmark for deformed quantum oscillators , 2000, quant-ph/0003125.

[6]  H. Fu,et al.  NEGATIVE BINOMIAL STATES OF THE RADIATION FIELD AND THEIR EXCITATIONS ARE NONLINEAR COHERENT STATES , 1999, quant-ph/9903013.

[7]  S. Sivakumar.  Photon-added coherent states as nonlinear coherent states , 1998, quant-ph/9806061.

[8]  N. An.  Higher-order amplitude squeezing of photons propagating through a semiconductor , 1997 .

[9]  E. Sudarshan,et al.  f-oscillators and nonlinear coherent states , 1996, quant-ph/9612006.

[10]  Vogel,et al.  Nonlinear coherent states. , 1996, Physical review. A, Atomic, molecular, and optical physics.

[11]  H. Fu,et al.  Negative Binomial States of Quantized Radiation Fields , 1996, quant-ph/9610024.

[12]  V. Man'ko,et al.  Non-classical properties of states generated by the excitations of even/odd coherent states of light , 1996 .

[13]  S. Solimeno,et al.  PHYSICAL NONLINEAR ASPECTS OF CLASSICAL AND QUANTUM q-OSCILLATORS , 1993 .

[14]  A. J. Macfarlane,et al.  On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)q , 1989 .

[15]  L. C. Biedenharn,et al.  The quantum group SUq(2) and a q-analogue of the boson operators , 1989 .

[16]  Alessandrini Jl.  Translational diffusion coefficient of the d-dimensional Gaussian polymer chain. , 1987 .

[17]  D'Ariano,et al.  New type of two-photon squeezed coherent states. , 1985, Physical review. D, Particles and fields.

[18]  R. Loudon.  REVIEW ARTICLE: Non-classical effects in the statistical properties of light , 1980 .

[19]  Carl W. Helstrom,et al.  Nonclassical states in optical communication to a remote receiver (Corresp.) , 1980, IEEE Trans. Inf. Theory.

[20]  Agarwal,et al.  Nonclassical properties of states generated by the excitations on a coherent state. , 1991, Physical review. A, Atomic, molecular, and optical physics.

[21]  L. Mandel.  Non-Classical States of the Electromagnetic Field , 1986 .

[22]  Hillery.  Conservation laws and nonclassical states in nonlinear optical systems. , 1985, Physical review. A, General physics.