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Abstract
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In continuation of previous papers where the addition of photons into the two-mode entangled quantum states was studied, we proposed a scheme to establish and generatephoton-added ‘entangled Barut–Girardello coherent states’ (PAEBGCSs), by applying pho-ton creation operators on the two-mode EBGCSs, where the latter is introduced by Hach et al.(JOSA B 35:2433, 2018), as a new class of quantum states connected to the simple harmonicoscillator and generated through a Mach–Zehnder interferometer, and the dynamics of theirentanglement is analyzed in details. In addition, the EBGCSs include strong non-classicalproperties; then, to gain insight into the effectiveness of photon addition to them and com-paring with the case already discussed as the photon-added entangled Klauder–Perelomovcoherent states, we present a general analysis of non-classical properties such as photon statis-tics and squeezing and photon number distribution. We also derive the concurrence measureto quantify the entanglement of these states and look for conditions that provide informa-tion on whether these become maximally entangled. We show that the photon addition playsan important role in non-classical effects, and this operation can be applied to enhance theentanglement of the PAEBGCSs. For instance, entanglement preserving against quantumpolarization is occurred by adding photons to the EBGCSs. Finally, an experimental proce-dure for generating the PAEBGCSs in the framework of cavity quantum electrodynamics isestablished.
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