Abstract

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.

Highlights

  • The heart of quantum optics is the interaction of matter with radiation [1]

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

  • We wish to study the squeezing, entanglement, and statistical properties of two-mode light produced by V-type three-level laser coupled to squeezed vacuum reservoir by using the expectation value of the cavity mode operators at steady state

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Summary

Introduction

The heart of quantum optics is the interaction of matter with radiation [1]. Quantum squeezing and entanglement have both fundamental scientific significance and potential applications in quantum metrology and quantum information processing [7]. A three-level laser may be defined as a quantum optical system in which three-level atoms initially prepared in a coherent superposition of their two levels, are injected into a cavity coupled to a vacuum reservoir via a single-port mirror. The V-type three-level laser in which the atoms’ one ground state is coupled to two excited. We wish to study the squeezing, entanglement, and statistical properties of two-mode light produced by V-type three-level laser coupled to squeezed vacuum reservoir by using the expectation value of the cavity mode operators at steady state

Quantum Hamiltonian
Master Equation
Expectation Values
Quadrature Squeezing
Entanglement
The Variance of Photon Number
Intensity Difference Fluctuations
Second Order Correlation Function
Conclusion
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