Quantum properties of a superposition of squeezed displaced two-mode vacuum and single-photon states
Faisal A. A. El-Orany, A-S. F. Obada, Zafer M. Asker, J. Perina

TL;DR
This paper investigates the quantum properties of a superposition of displaced squeezed two-mode vacuum and single-photon states, revealing nonclassical features like sub-Poissonian statistics, squeezing, and entanglement enhancement.
Contribution
It introduces a new class of superposition states combining phase space interference and entanglement, analyzing their quantum properties and potential for state generation.
Findings
States exhibit sub-Poissonian statistics
States show quadrature squeezing and entanglement
Single-mode states can resemble thermal states
Abstract
In this paper, we study some quantum properties of a superposition of displaced squeezed two-mode vacuum and single-photon states, such as the second-order correlation function, the Cauchy-Schwartz inequality, quadrature squeezing, quasiprobability distribution functions and purity. This type of states includes two mechanisms, namely, interference in phase space and entanglement. We show that these states can exhibit sub-Piossonian statistics, squeezing and deviate from the classical Cauchy-Schwartz inequality. Moreover, the amount of entanglement in the system can be increased by increasing the squeezing mechanism. In the framework of the quasiprobability distribution functions we show that the single-mode state can tend to thermal state based on the correlation mechanism. Generation scheme for such states is given.
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