2020
DOI: 10.1142/s0217732320501679
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Noncommutative photon-added squeezed vacuum states

Abstract: Noncommutative optical squeezed vacuum states are constructed as eigenstates of an appropriate two-photon annihilation operator corresponding to the Biedenharn–Macfarlane [Formula: see text]-oscillator. We consider in details the role of noncommutativity parameter [Formula: see text] on the nonclassical behaviors including quadrature squeezing and sub-Poissonian statistics. Also, we construct the noncommutative photon-added squeezed vacuum states and consider their Hillery-type higher-order squeezing and singl… Show more

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Cited by 5 publications
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“…Due to the interest of the quadrature squeezing properties, we investigate these characteristics for our -CSs. To this end we follow two approaches based on the Heisenberg and the Schrödinger-Robertson uncertainty inequalities lead to strong and weak squeezing, respectively 28 , 55 , 68 , in which the squeezing conditions for the quadrature x ( p ) are reached since the following inequalities are established and the strongest and weakest squeezing effects are obtained when these quantities are equal to . Using the relations ( 17 ) and ( 18 ), one can obtain the strong and weak squeezing conditions for the quadrature x ( p ) on the -CSs.…”
Section: Nonclassical Propertiesmentioning
confidence: 99%
“…Due to the interest of the quadrature squeezing properties, we investigate these characteristics for our -CSs. To this end we follow two approaches based on the Heisenberg and the Schrödinger-Robertson uncertainty inequalities lead to strong and weak squeezing, respectively 28 , 55 , 68 , in which the squeezing conditions for the quadrature x ( p ) are reached since the following inequalities are established and the strongest and weakest squeezing effects are obtained when these quantities are equal to . Using the relations ( 17 ) and ( 18 ), one can obtain the strong and weak squeezing conditions for the quadrature x ( p ) on the -CSs.…”
Section: Nonclassical Propertiesmentioning
confidence: 99%