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Jiangxi kexue

Quantum Properties of Two-Mode Squeezed Vacuum Field Interacting Non-resonantly with a Λ-type Three-level Atom

Chao Dong

Published Jan 1, 2003• 0 citations
OpenAlex

Abstract

The influences of detuning δ and initial squeezed light_field factor r on the light squeezing and Cauchy_Schwartz inequality in the system of two_mode squeezing vacuum field interacting non_resonantly with a Λ_type three_level atom is investigated.The results show that the light field is squeezed regularly. The light squeezing level is evidently relative to r and δ. With the increase r, the nonclassical correlation properties between the two mode cavities get steady. The detuning makes the nonclassical correlation degree steady.

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The influences of detuning δ and initial squeezed light_field factor r on the light squeezing and Cauchy_Schwartz inequality in the system of two_mode squeezing vacuum field interacting non_resonantly with a Λ_type three_level atom is investigated.The results show that the light field is squeezed regularly. The light squeezing level is evidently relative to r and δ. With the increase r, the nonclassical correlation properties between the two mode cavities get steady. The detuning makes the nonclassical correlation degree steady.
In this paper, the interaction between a Λ-type three-level atom and a two-mode cavity field is discussed. The detuning parameters and cross-Kerr nonlinearity are taken into account, and it is assumed that the atom–field coupling and Kerr medium are f-deformed. Even though the system seems complicated, the analytical form of the state vector of the entire system for the considered model is exactly obtained. The time evolution of nonclassical properties, such as quantum entanglement and position–momentum entropic uncertainty relation (entropy squeezing) of the field are investigated. In each case, the influences of the detuning parameters, generalized Kerr medium, and intensity-dependent coupling on the latter nonclassicality signs are analyzed in detail.
Nonclassical properties of a two-mode field initially in an SU(2) coherent state resonantly interacting with a three-level Λ-type atom are investigated by means of the quantum theory and numerical calculations. The dependence of the nonclassical properties on the total photon number of the two-mode, the partition parameter and the coupling constant is discussed for three cases: (1) no state-selective atomic measurement; (2) direct state-selective atomic measurement; and (3) state-selective atomic measurement after the application of a classical field. The results indicate that when the total photon number of the two-mode is increased or the state-selective measurement is performed on the atom, the difference squeezing of two-mode is distinctly enhanced; and when the partition parameter is decreased or the state-selective measurement is performed on the atom after the application of a classical field, the average intensity of the sub-Poisson statistic distribution of mode a is reduced and that of mode b is enhanced; when the total photon number of the two modes is increased or the direct state-selective measurement is performed on the atom, the anti-correlation character between the two modes is preserved, but the average intensity of the anti-correlation is reduced; and when the direct state-selective measurement is performed on the atom, the Cauchy-Schwartz inequality is violated.
In this paper, we follow the model presented in our previous work [J. Opt. Soc. Am. B30, 1109 (2013)], in which the interaction between a Λ-type three-level atom and a quantized two-mode radiation field in a cavity in the presence of nonlinearities was studied. After giving a brief review of the procedure for obtaining the state vector of the atom-field system, we investigated some further interesting and important physical features of the whole system state, which are of particular interest to the quantum optics field of research, i.e., the number-phase entropic uncertainty relation (based on the two-mode Pegg–Barnett formalism) and a few of the nonclassicality signs that consist of sub-Poissonian statistics, Cauchy–Schwartz inequality, and two types of squeezing phenomena. During our presentation, the effects of intensity-dependent coupling, deformed Kerr medium, and the detuning parameters on the depth and domain of each of the mentioned nonclassical criteria of the considered quantum system are described in detail. The results show that each of the mentioned nonclassicality aspects can be obtained by appropriately choosing the related parameters.