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Abstract
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In continuation of previous papers [Quantum Inf. Process doi 10.1007/s11128-015-1223-6 and Appl. Phys. B 123 (2017)
181], we proposed a new class of two-mode entangled nonlinear coherent-squeezed states (ENCSS) where the standard
coherent states are substituted by nonlinear coherent states. Here we employ different types of the non-linearity functions to
gain insight into the effectiveness of non-linearization of the ECSS. Comparing with the case already discussed photon-added
ECSS, we present a general analysis of non-classical properties, such as photon statistics, degree of polarization, and the
entanglement of these states. We seek the nonlinearity function that provides information on whether the introduced states
include rich nonclassical properties and become maximally entangled. We show that a particular choice of the nonlinearity
function prevents from depolarization as well as disentanglement. We present a theoretical scheme based on the resonant
and nonlinearized Jaynes–Cummings model, in which a Λ-type three-level atom interacts with a two-mode quantized field
in the presence of two strong classical fields.
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