Abstract

The squeezing, and statistical properties of a superposed light beam produced by a lambda type three-level lasers configuration have been studied. We have determined the quadrature variances mean as well as variance photon number for cavity modes with the aid of the solutions of c-number Langevin equations associated with the normal order. We have carried out our analysis a light in a squeezing state can be produced by the system under consideration under the condition that the cavity decay constant is larger than the linear gain coefficient and the squeezing occurs in the minus-quadrature. Furthermore, we also obtain with the aid of the Q-functions and the density operator the superposition beam, and superposed light beams are determined in quadrature variance and mean photon number. The result shows that the mean photon number and the quadrature variance of the superposed light beam are the sum of the mean photon number and the quadrature variance of the constituent light beams.

Highlights

  • Quantum optics deals mainly with the quantum properties of light generated by various optical systems such as lasers with the effects of light on the dynamics of the atoms

  • There has been a considerable interest in the analysis of squeezing and statistical properties of the light generated by three-level lasers [1, 2, 14]

  • A threelevel laser may be defined as a quantum optical system in which three-level atoms initially prepared in a coherent superposition of the two levels, are injected into a cavity coupled to a vacuum reservoir via a single-port mirror

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Summary

Introduction

Quantum optics deals mainly with the quantum properties of light generated by various optical systems such as lasers with the effects of light on the dynamics of the atoms. There has been a considerable interest in the analysis of squeezing and statistical properties of the light generated by three-level lasers [1, 2, 14]. A threelevel laser may be defined as a quantum optical system in which three-level atoms initially prepared in a coherent superposition of the two levels, are injected into a cavity coupled to a vacuum reservoir via a single-port mirror. A three-level laser may be defined as a quantum optical system in which threelevel atoms, initially prepared in a coherent superposition of the two levels, are injected into a cavity. The coupling of the two levels of the atom is responsible for the interesting non classical features of the generated light. There are several quantum optical systems that could generate light with non-classical features such as squeezing, entanglement, and anti-bunching etc. With the aid of the relation due to the correlation between the photons

Three-Level Atom with Radiation
The Hamiltonian
The Quantum Approximation
Vee- Type Three-Level Laser
Quadrature Fluctuation
Photon Statistics
Density Operator
Mean Photon Number
(74) References
Conclusion

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