Wigner Distribution Function for Optical Fields and its Application to the Detection of Squeezed States

1990 ◽  
pp. 955-959
Author(s):  
Jagdish Rai ◽  
Ramarao Inguva ◽  
Charles M. Bowden
Keyword(s):  
Distribution Function ◽  
Wigner Distribution ◽  
Squeezed States ◽  
Wigner Distribution Function ◽  
Optical Fields

TIME-DEPENDENT WIGNER DISTRIBUTION FUNCTION EMPLOYED IN SQUEEZED SCHRÖDINGER CAT STATES: |Ψ(t)〉 = N-1/2(|β〉+eiϕ|-β〉)

2009 ◽  
Vol 23 (25) ◽  
pp. 5049-5066
Author(s):  
JEONG RYEOL CHOI ◽  
KYU HWANG YEON
Keyword(s):  
Distribution Function ◽  
Harmonic Oscillator ◽  
Wigner Distribution ◽  
Time Dependent ◽  
Squeezed States ◽  
Wigner Distribution Function ◽  
Practical Applications ◽  
Schrödinger Cat ◽  
Cat States ◽  
Theory Of Invariants

The Wigner distribution function (WDF) for the time-dependent quadratic Hamiltonian system is investigated in the squeezed Schrödinger cat states with the use of Lewis–Riesenfeld theory of invariants. The nonclassical aspects of the system produced by superposition of two distinct squeezed states are analyzed with emphasis on their application into special systems beyond simple harmonic oscillator. An application of our development to the measurement of quantum state by reconstructing the WDF via Autler–Townes spectroscopy is addressed. In addition, we considered particular models such as Cadirola–Kanai oscillator, frequency stable damped harmonic oscillator, and harmonic oscillator with time-variable frequency as practical applications with the object of promoting the understanding of nonclassical effects associated with the WDF.

scholarly journals Motion detection, the Wigner distribution function, and the optical fractional Fourier transform

2003 ◽  
Vol 28 (11) ◽  
pp. 884 ◽  
Author(s):  
John T. Sheridan ◽  
Bryan Hennelly ◽  
Damien Kelly
Keyword(s):  
Distribution Function ◽  
Fourier Transform ◽  
Motion Detection ◽  
Fractional Fourier Transform ◽  
Wigner Distribution ◽  
Wigner Distribution Function

Isomorphism of the Wigner distribution function and the canonical ABCD integral transformation

1998 ◽  
Author(s):  
Adolf W. Lohmann ◽  
David Mendlovic ◽  
Zeev Zalevsky
Keyword(s):  
Distribution Function ◽  
Integral Transformation ◽  
Wigner Distribution ◽  
Wigner Distribution Function

Wigner distribution function applied to third-order aberrations

1996 ◽  
Vol 35 (1) ◽  
pp. 161 ◽  
Author(s):  
D. Dragoman
Keyword(s):  
Distribution Function ◽  
Wigner Distribution ◽  
Wigner Distribution Function ◽  
Third Order
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