Some properties of the states engendered by the action of photon creation and annihilation operator on a squeezed vacuum state

Hong-yi Fan; Zhongxi Zhang

doi:10.1117/12.130407

28 October 1992 Some properties of the states engendered by the action of photon creation and annihilation operator on a squeezed vacuum state

Hong-yi Fan, Zhongxi Zhang

Author Affiliations +

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 a^mS(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.

Citation Download Citation

Hong-yi Fan and 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); https://doi.org/10.1117/12.130407

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available