Abstract

We analyze the quantum properties of the light generated by a three-level laser with an open cavity and coupled to a two-mode squeezed vacuum reservoir via a single-port mirror. The three-level laser consists of three-level atoms available in an open cavity and pumped from the bottom to the top level by means of electron bombardment. Applying the large-time approximation scheme, we have obtained the steady-state solutions of the equations of evolution for the expectation values of the atomic operators and the quantum Langevin equations for the cavity mode operators. Using the resulting steady-state solutions, we have calculated the mean photon number, the variance of the photon number, and the quadrature variance for the two-mode cavity light. We have seen that the light generated by the three-level laser is in a squeezed state and the squeezing occurs in the plus quadrature. It so turns out that the maximum quadrature squeezing of the two-mode cavity light is 45:68% for M0 = 0:59 and N0 = 0:27 below the vacuum-state level. In addition, we have shown that the effect of the squeezed parameter is to increase the mean and variance of the photon number.

Highlights

  • Squeezed states of light have played a crucial role in the development of quantum physics

  • A three-level laser is a quantum optical system in which light is generated by three-level atoms inside a cavity usually coupled to a vacuum reservoir via a single- port mirror

  • He has shown that the maximum quadrature squeezing is 43% below the vacuum-state level, which is slightly less than the result found with electron bombardment

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Summary

Introduction

Squeezed states of light have played a crucial role in the development of quantum physics. Fesseha [9, 10] has studied the squeezing and the statistical properties of the light produced by a three-level laser with the atoms placed in a closed cavity and pumped by electron bombardment He has shown that the maximum quadrature squeezing of the light generated by the laser, operating below threshold, is found to be 50% below the vacuumstate level. Fesseha [10] has studied the squeezing and the statistical properties of the light produced by a three-level laser with the atoms placed in a closed cavity and pumped by coherent light He has shown that the maximum quadrature squeezing is 43% below the vacuum-state level, which is slightly less than the result found with electron bombardment. We carry out our calculation by considering the interactions of the cavity mode with the thermal reservoir via a single port-mirror and the three-level atoms with the cavity mode as well as a vacuum reservoir

Operator dynamics
Photon statistics
Quadrature squeezing
Conclusion
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