28 October 1992 Some properties of the states engendered by the action of photon creation and annihilation operator on a squeezed vacuum state
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Proceedings Volume 1726, 1992 Shanghai International Symposium on Quantum Optics; (1992) https://doi.org/10.1117/12.130407
Event: 1992 Shanghai International Symposium on Quantum Optics, 1992, Shanghai, China
Abstract
We study some properties of the states a+mS(r)0> and amS(r)0> (S(r) equals e-$ (a(superscript 2-a+2)) which are engendered by the excitations and de-excitations on a squeezed vacuum state, respectively. Using the mathematical induction method, we easily show that such states are normalized as two different forms of Legendre polynomials of squeezing parameter r. The Wigner functions of these states are also derived and analyzed.
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Hong-yi Fan, Hong-yi Fan, Zhongxi Zhang, Zhongxi Zhang, } "Some properties of the states engendered by the action of photon creation and annihilation operator on a squeezed vacuum state", Proc. SPIE 1726, 1992 Shanghai International Symposium on Quantum Optics, (28 October 1992); doi: 10.1117/12.130407; https://doi.org/10.1117/12.130407
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