Wigner Distribution Function for the Time-Dependent Quadratic-Hamiltonian Quantum System using the Lewis–Riesenfeld Invariant Operator

2005 ◽  
Vol 44 (3) ◽  
pp. 327-348 ◽  
Author(s):  
Jeong Ryeol Choi
Keyword(s):  
Distribution Function ◽  
Quantum System ◽  
Wigner Distribution ◽  
Invariant Operator ◽  
Time Dependent ◽  
Wigner Distribution Function ◽  
Quadratic Hamiltonian

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.

The time-dependent physical spectrum of light and the wigner distribution function

1982 ◽  
Vol 43 (2) ◽  
pp. 103-106 ◽  
Author(s):  
K.-H. Brenner ◽  
K. Wódkiewicz
Keyword(s):  
Distribution Function ◽  
Wigner Distribution ◽  
Time Dependent ◽  
Wigner Distribution Function ◽  
Physical Spectrum

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
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