Statistical properties of a two-photon cavity mode in the presence of degenerate parametric amplifier

2007 ◽  
Vol 322 (11) ◽  
pp. 2554-2568 ◽  
Author(s):  
M. Sebawe Abdalla ◽  
E.M. Khalil ◽  
A.S.-F. Obada
2020 ◽  
Vol 2020 ◽  
pp. 1-12 ◽  
Author(s):  
Chimdessa Gashu

The quantum and statistical properties of light generated by an external classical field in a correlated emission laser with a parametric amplifier and coupled to a squeezed vacuum reservoir are investigated using the combination of the master and stochastic differential equations. First, the solutions of the cavity-mode variables and correlation properties of noise forces associated to the normal ordering are obtained. Next, applying the resulting solutions, the mean photon number of the separate cavity modes and their crosscorrelation, smallest eigenvalue of the symplectic matrix, mean photon number, intensity difference fluctuation, photon number variance, and intensity correlation are derived for the cavity-mode radiation. The entanglement produced is studied employing the logarithmic negativity criterion. It is found that pumping atoms from the lower energy state to excited state, introducing the nonlinear crystal into the cavity and coupling the system to a biased noise fluctuation, generate a bright and strong squeezing and entanglement with enhanced statistical properties although the atoms are initially in the ground state.


CLEO: 2015 ◽  
2015 ◽  
Author(s):  
Chia-Lun Tsai ◽  
Po-Yen Hsiao ◽  
Ming-Chang Chen ◽  
Shang-Da Yang ◽  
Yen-Yin Lin ◽  
...  

2012 ◽  
Vol 85 (3) ◽  
Author(s):  
H. Di Lorenzo Pires ◽  
J. Woudenberg ◽  
M. P. van Exter

2018 ◽  
Vol 96 (12) ◽  
pp. 1365-1372
Author(s):  
Gang Ren ◽  
Jian-ming Du ◽  
Hai-jun Yu

In this paper, we construct and investigate the nonclassical properties of the squeezing and rotating coherent state (SRCS) via a generalized squeezed operator by introducing a novel parameter r. In a particular case r = 0, SRCS reduces to the normal squeezed coherent state (SCS). The influence of r is studied in terms of squeezing and quantum statistical properties. Our results show that in the SCS not only is squeezing enhanced but also is rotated by the parameter r. Our discussion about the fidelity between SRCS and SCS shows that the fidelity values decrease with increasing parameter r. The experimental scheme for producing SRCS is also given via a self-Kerr medium and non-degenerate parametric amplifier.


1972 ◽  
Vol 8 (6) ◽  
pp. 600-600
Author(s):  
V. Arseniev ◽  
V. Dneprovsky ◽  
D. Klyshko ◽  
V. Huttatov

2018 ◽  
Vol 63 (7) ◽  
pp. 600 ◽  
Author(s):  
T. Abebe ◽  
N. Gemechu

The dynamics of a coherently driven two-level atom with parametric amplifier and coupled to a vacuum reservoir is analyzed. The combination of the master equation and the quantum Langevin equation is presented to study the quantum properties of light. By using these equations, we have determined the time evolution of the expectation values of the cavity mode and atomic operators. Moreover, with the aid of these results, the correlation properties of noise operators, and the large-time approximation scheme, we calculate the mean photon number, power spectrum, second-order correlation function, and quadrature variances for the cavity-mode light and fluorescence. It is found that the half-width of the power spectrum for the fluorescent light in the presence of a parametric amplifier increases, while it decreases for the cavity-mode light. Moreover, we have found the probability for the atom to be in the upper level in the presence of a parametric amplifier.


2004 ◽  
Vol 18 (16) ◽  
pp. 2325-2345 ◽  
Author(s):  
E. M. KHALIL ◽  
M. SEBAWE ABDALLA ◽  
A. S.-F. OBADA

In this communication we handle a modified model representing the interaction between a two-level atom and two modes of the electromagnetic field in a cavity. The interaction between the modes is assumed to be of a parametric amplifier type. The model consists of two different systems, one represents the Jaynes–Cummings model (atom–field interaction) and the other represents the two mode parametric amplifier model (field–field interaction). After some canonical transformations the constants of the motion have been obtained and used to derive the time evolution operator. The wave function in the Schrödinger picture is constructed and employed to discuss some statistical properties related to the system. Further discussion related to the statistical properties of some physical quantities is given where we have taken into account an initial correlated pair-coherent state for the modes. We concentrate in our examination on the system behavior that occurred as a result of the variation of the parametric amplifier coupling parameter as well as the detuning parameter. It has been shown that the interaction of the parametric amplifier term increases the revival period and consequently longer period of strong interaction between the atom and the fields.


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