Tuesday, March 12, 2013

1303.2516 (Roberto de Jesús León-Montiel et al.)

Nonlinear coherent states for the Susskind-Glogower operators    [PDF]

Roberto de Jesús León-Montiel, Hector Manuel Moya-Cessa, Francisco Soto-Eguibar
We construct nonlinear coherent states for the Susskind-Glogower operators by the application of the displacement operator on the vacuum state. We also construct nonlinear coherent states as eigenfunctions of a Hamiltonian constructed with the Susskind-Glogower operators. We generalize the solution of the eigen- function problem to an arbitrary |mi initial condition. To analyze the obtained results, we plot the Husimi Q function, the photon number probability distribution and the Mandel Q-parameter. For both cases, we find that the constructed states exhibit interesting nonclassical features, such as amplitude squeezing and quantum interferences due to a self-splitting into two coherent-like states. Additionally, we show that non- linear coherent states may be modeled by propagating light in semi-infinite arrays of optical fibers.
View original: http://arxiv.org/abs/1303.2516

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