Enhancement of Squeezing in a Coherently Driven Degenerate Three-Level Laser with a Closed Cavity (original) (raw)
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Advances in Mathematical Physics, 2021
Squeezing and entanglement of a two-mode cascade laser, produced by a three-level atom which is initially prepared by a coherent superposition of the top and bottom levels then injected into a cavity coupled to a two-mode squeezed vacuum reservoir is discussed. I obtain stochastic differential equations associated with the normal ordering using the pertinent master equation. Making use of the solutions of the resulting differential equations, we determined the mean photon number for the cavity mode and their correlation, EPR variables, smallest eigenvalue of the symplectic matrix, intensity difference fluctuation, and photon number correlation. It is found that the squeezed vacuum reservoir increases the degree of the statistical and nonclassical features of light produced by the system. Furthermore, using the criteria developed by logarithm negativity and Hillery-Zubairy criteria, the quantum entanglement of the cavity mode is quantified. It is found that the degree of the entangle...
2020
In this paper, the effect of a squeezed parameter and parametric amplifier on squeezing and entanglement of a correlated emission laser is thoroughly analyzed. The combination of the master equation and stochastic differential equation is presented to study the quantum features of the light. Moreover, with the aid of the resulting solutions together with the correlation properties of noise operators, the quadrature squeezing and entanglement and the mean number of photon pairs of the cavity light are determined. It is found that a large amplitude of the classical driving radiation induces a strong correlation between the top and bottom states of three-level atoms to produce a high degree of squeezing and entanglement. Furthermore, the presence of parametric amplifier and squeezed parameter is found to enhance the degree of squeezing and entanglement of the cavity light.
Coherently Driven Nondegenerate Three-Level Laser with Noiseless Vacuum Reservoir
2019
In this paper, the analysis of the quantum properties of cavity light produced by a coherently driven nondegenerate three-level laser in a closed cavity and coupled to a two-mode vacuum reservoir, is presented. Normal ordering of the noise operators associated with the vacuum reservoir is considered. Applying the solutions of the equations of evolution for the expectation values of the atomic operators and the quantum Langavin equations for the cavity mode operators, the quadrature squeezing, entanglement amplification, and the normalized second-order correlation function of the cavity radiation are obtained. The three-level laser generates squeezed light under certain conditions, with maximum intracavity squeezing being 43% below the vacuum-state level. Moreover, it is found that the photon numbers of a two-mode light beams are correlated. PACS codes: 42.50.Dv, 42.50.Ar, 03.67.Mn
Lambda-type Three-Level Laser Coupled to Squeezed Vacuum Reservoir
2020
The squeezing, entanglement, and statistical properties of light produced by lambda-type three-level laser coupled to squeezed vacuum reservoir have been studied. We have determined the quadrature variances mean as well as variance photon number photon for cavity modes with the aid of the solutions of c-number Langevin equations associated with the normal order. The results show that the light produced by the system under consideration in squeezed state. The squeezed vacuum reservoir enhances both the quadrature squeezing and mean photon numbers. In addition, the mean photon number of mode b is greater than that of a if more atoms injected with state |a>. We have calculated the quadrature variances of the cavity modes, the result shows that the light produced by the system under consideration is in squeezed state and the squeezing occurs in the minus quadrature. The result also shows that the effect of the squeezed vacuum reservoir is not only enhancing the degree of squeezing for the light modes but also to generate the photons for the system under consideration. The system produce entangled two mode light that increase with η and linear gain coefficient but decrease with squeezing parameters. The correlation function of the two modes decreases as η, the linear gain coefficient and increase with squeezing parameter.
V-type Three-Level Laser Coupled to Squeezed Vacuum Reservoir
The squeezing, entanglement, and statistical properties of cavity modes produced by V-type three-level laser coupled to squeezed vacuum reservoir were studied employing the steady state solutions of the expectation values of the cavity mode operators. The study showed that a light in squeezing state can be produced by the system under consideration under the condition that the cavity decay constant is larger than linear gain coefficient and the squeezing occurs in the plus-quadrature. The cavity modes do not exhibit entanglement properties. It is also observed that the degree of squeezing increases with the linear gain coefficient and squeezing parameter. We also determined the mean and variance of the photon number, intensity difference fluctuations, and the second order correlation function of the two modes. The mean and variance of the photon number as well as the correlation function of two modes decrease as the difference of the probability of the two states at initial time increases. The photons have super-poissionian statistics. The point, η, at which the maximum intensity difference fluctuation occurred depends on linear gain coefficient but not squeezing parameter. The result shows that the correlation of the two modes decreases as η the linear gain coefficient and squeezing parameter.
Quantum Properties of Coherently Driven Three-Level Atom Coupled to Vacuum Reservoir
Universal Journal of Physics Research
A three-level laser with an open cavity and a two-mode vacuum reservoir is explored for its quantum properties. Our investigation begins with a normalized order of the noise operators associated with the vacuum reservoir. The master equation and linear operators' equations of motion are used to determine the equations of evolution of the atomic operators' expectation values. The equation of motion answers are then used to calculate the mean photon number, photon number variance, and quadrature variance for single-mode cavity light and two-mode cavity light. As a result, for γ=0, the quadrature variance of light mode a is greater than the mean photon number for two-mode cavity light. As a result, for the two-mode cavity light, the maximum quadrature squeezing is 43.42 percent.
Thesis publication, 2023
In this research, we have studied the squeezing and statistical properties of the cavity light beams produced by a dynamics of non-degenerate three-level laser in a closed cavity and coupled with a two-mode vacuum reservoir for single atom via a singleport mirror. We have carried out our analysis by putting the noise operators associated with the vacuum reservoir in normal order. Applying the solutions of the equations of evolution for the expectation values of the atomic operators and the quantum Langevin equations for the cavity mode operators, we have calculated the global and local mean and variance of the photon number as well as the quadrature squeezing of the cavity light single-mode and two-modes.Furthermore we determined the photon entanglement as well as the atom-cavity entanglement. It is found to be the maximum quadrature squeezing for the values of stimulated emission decay constant(i.e γc = 0.4 and 0.2 ). The maximum quadrature squeezing is found to be 43.43% below the vacuum-state level. Moreover we have found that both the mean photon number for a two-mode laser light beam is the sum of the mean photon numbers and the single-mode light beams. On the other hand, the quadrature squeezing is due to the correlation of the two light beams. In view of this correlations the two mode cavity light is entangled. The degree of entanglement increases with the increase in stimulated emission decay constant.
Physical Review A, 2000
We consider effects of a broadband squeezed reservoir on the second-order intensity correlation, and on squeezing properties in the resonance fluorescence of a bichromatically driven two-level atom in a cavity of moderate Q. Phase-dependent squeezed reservoir effects change the photon statistics, and lead to an amplification of the degree of squeezing. Squeezed reservoir effects in the second-order correlation function g (2) () are determined by two-photon emission processes which can be enhanced or suppressed in dependence on the squeezing phase.
Physical Review A
We address the behavior of squeezing in two movable mirrors coupled to a pumped correlated emission laser inside a doubly resonant optomechanical driven cavity in the presence of biased noise fluctuations. Aiming at generating controllable and robust mechanical squeezing that can be utilized in making the quantum features of radiation in the cavity accessible for application, we explore mechanical squeezing that can be induced as a result of the transfer of coherent superposition. We found that a coupled mechanical oscillator mode exhibits squeezing in the good cavity limit and adiabatic regime. It is also shown that the degree of mechanical squeezing is robust for large amplitudes of atomic pumping until maximum squeezing is achieved but weakens afterwards. The squeezing turns out to be powerful mainly for strong atom-field coupling, large atomic injection rates, and intense biased noise fluctuations. In light of the observed possibility of controlling the realizable degree of squeezing, we hope and expect that the considered system could be employed in applications such as quantum metrology.
Interaction of a two-level atom with a squeezed vacuum: Photon statistics and spectra
Physical Review A, 1996
We consider the interaction of a two-level atom with a squeezed vacuum, both in free space and in a cavity of moderate Q. In the latter case, only vacuum modes coupled to the cavity are squeezed. In both cases we calculate the following quantities for the fluorescent light fields: the second-order intensity correlation function g ͑2͒ ͑͒, the spectrum of squeezing, the coherent spectrum, and the spectrum obtained in a pump-probe absorption measurement. Nonclassical behavior is discussed and comparison to an ordinary vacuum and thermal fields is made. ͓S1050-2947͑96͒05105-0͔