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Journal of Chongqing Institute of Technology

Enhanced Squeezing and Entanglement in Parametric Down-conversion Process with Three-level Atoms

Li-hui Sun

Published Jan 1, 2010• 0 citations
OpenAlex

Abstract

A system of three-level atoms which are being injected in some state into a cavity at a rate is considered.The master equation of the cavity modes is obtained.The entanglement properties of two-mode field is discussed according to the entanglement criterion proposed by Duan et al.The results show that under some conditions,the system can work as a NPDC.In addition,in order to obtain the bright and strong entangled field,the system should operate over threshold.

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ACTA PHOTONICA SINICA•Jan 1, 2010•0 citations
A system of three-level atoms which are being injected in some state into a cavity at a rate is considered.The master equation of the cavity modes is obtained.The entanglement properties of two-mode field is discussed according to the entanglement criterion proposed by Duan et al.The results show that under some conditions,the system can work as a NPDC.In addition,in order to obtain the bright and strong entangled field,the system should operate over threshold.
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 entanglement for the system under consideration increases with the squeezing parameter of the squeezed vacuum reservoir.
We consider a nondegenerate three-level cascade laser with a subthreshold nondegenerate parametric oscillator coupled to a vacuum reservoir. Applying the pertinent master equation, we analyze the squeezing and entanglement properties of the two-mode light produced by this quantum optical system inside and outside the cavity. We also determine the normalized second-order correlation function for the two-mode light as well as for individual mode. We find that the light generated by this system is in a two-mode squeezed state and the state of the system is strongly entangled at steady state. Moreover, the presence of the parametric oscillator leads to an increase in the degree of squeezing and entanglement. We also find that the intermode correlation decreases as the injected atomic coherence decreases in the system.
Considering two Λ-type three-level atoms initially in the entangled state, one atom is poured into the cavity and interacts with a two-mode cavity. The squeezing and antibunching effects of the field are investigated. The influences of the selective atomic measurement and the intensity of the coherent field, which interacts with atom on squeezing and antibunching effect of the field, are discussed. The results obtained by numerical calculations show that squeezing and antibunching effect of the field can be strengthened through selective atomic measurement for atom outside of the cavity.