Wigner distribution function and nonclassical properties of Schrödinger cat states for electromagnetic fields in time-varying media

2012 ◽  
Author(s):  
Jeong Ryeol Choi ◽  
Kyu Hwang Yeon ◽  
In Hyun Nahm ◽  
Min Jeong Kweon ◽  
Mustapha Maamache ◽  
...  
Keyword(s):  
Distribution Function ◽  
Electromagnetic Fields ◽  
Wigner Distribution ◽  
Time Varying ◽  
Wigner Distribution Function ◽  
Nonclassical Properties ◽  
Cat States

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 Phase-space studies of backscattering diffraction of defective Schrödinger cat states

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Damian Kołaczek ◽  
Bartłomiej J. Spisak ◽  
Maciej Wołoszyn
Keyword(s):  
Phase Space ◽  
Dispersive Medium ◽  
Wigner Distribution ◽  
Interference Term ◽  
Wigner Distribution Function ◽  
The Subject ◽  
Schrödinger Cat ◽  
Cat States ◽  
Schrodinger Cat State ◽  
Space Approach

AbstractThe coherent superposition of two well separated Gaussian wavepackets, with defects caused by their imperfect preparation, is considered within the phase-space approach based on the Wigner distribution function. This generic state is called the defective Schrödinger cat state due to this imperfection which significantly modifies the interference term. Propagation of this state in the phase space is described by the Moyal equation which is solved for the case of a dispersive medium with a Gaussian barrier in the above-barrier reflection regime. Formally, this regime constitutes conditions for backscattering diffraction phenomena. Dynamical quantumness and the degree of localization in the phase space of the considered state as a function of its imperfection are the subject of the performed analysis. The obtained results allow concluding that backscattering communication based on the defective Schrödinger cat states appears to be feasible with existing experimental capabilities.

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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