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arXiv:1303.2516

Nonlinear coherent states for the Susskind-Glogower operators

León-Montiel, Roberto de Jesús, Moya-Cessa, Hector Manuel, Francisco Soto

Published Mar 11, 2013• 1 citation
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Abstract

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.

DOI
10.48550/arxiv.1303.2516

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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.
In this thesis, we construct nonlinear coherent states for the Susskind-Glogower\noperators by the application of the displacement operator on the vacuum state.\nWe also construct nonlinear coherent states as eigenfunctions of a Hamiltonian\nconstructed with the Susskind-Glogower operators. We generalize the solution\nto the eigenfunction problem to an arbitrary jmi initial condition. To analize\nthe obtained results, we plot the Husimi Q function, the photon number\nprobability distribution and the Mandel Q-parameter. For both cases, we nd\nthat the constructed states exhibit interesting nonclassical features such as\namplitude squeezing and quantum inteferences due to a self-splitting into two\ncoherent-like states. Additionally, we show that nonlinear coherent states may\nbe modelled by propagating light in semi-innite arrays of optical bers.
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