Nonlinear displaced Kerr state and its nonclassical properties

We construct a distinct class of nonlinear displaced Kerr state by application of the displacement operator upon a state which is prepared by sending the well-known photon-added coherent state through a normal Kerr medium. A sketch for the experimental set-up for preparing the state is suggested. We...

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Bibliographic Details
Published in:arXiv.org 2023-04
Main Authors: Chatterjee, Arpita, Ghosh, Rupamanjari
Format: Article
Language:English
Subjects:
Displacement
Entanglement
Parameters
Photons
Quadratures
Online Access:Get full text
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Summary:We construct a distinct class of nonlinear displaced Kerr state by application of the displacement operator upon a state which is prepared by sending the well-known photon-added coherent state through a normal Kerr medium. A sketch for the experimental set-up for preparing the state is suggested. We evaluate some statistical properties such as the photon number distribution, Mandel's \(Q\) parameter, Husimi-\(Q\) and Wigner functions, and quadrature squeezing, for the nonlinear displaced Kerr state, and then analyze the nonclassicality in terms of these standard parameters. We reduce the infinite-level problem to a truncated discrete two-level system by using low Kerr parameter approximation and then convert the generated nonclassicality into bipartite entanglement between the two modes of an output state of a linear optical device.
ISSN:2331-8422
DOI:10.48550/arxiv.2304.05570