Excited Two-Mode Generalized Squeezed Vacuum State as a Squeezed Two-Variable Hermite Polynomial Excitation State |
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Authors: | Ye-Jun Xu Hong-Chun Yuan and Qiu-Yu Liu |
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Institution: | (1) Department of Physics, Liaocheng University, 252059 Liaocheng, Shandong, P. R. China |
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Abstract: | A new class of excited two-mode generalized squeezed vacuum states denoted by |r,s,m,n〉 are presented, which are obtained by repeatedly applying creation operators a
†
and b
†
on the two-mode generalized squeezed vacuum state. We find that it is just regarded as a generalized squeezed two-variable
Hermite polynomial excitation on the vacuum state and its normalization constant is just a Jacobi polynomial. Their statistical
properties are investigated such as squeezing properties, photon number distribution and the violations of Cauchy-Schwartz
inequality. Especially, the Wigner function for |r,s,m,n〉 depending on the excitation photon numbers is discussed graphically. |
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Keywords: | |
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