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Chinese Physics B

Atomic emission spectra and field non-classical properties

Tang Pei, Guo Hong

Published Jul 31, 2009• 4 citations
Publisher

Abstract

This paper studies the interaction of a Λ-type three-level atom with a single mode field. It discusses the emission spectrum characteristics of the Λ-type three-level atom driven by the photon-added coherent field. By means of the second-order degree of coherence, it shows some nonclassical properties of the cavity field, such as sub-Poissonian photon-number distribution and the two-time intensity–intensity correlation which violates the Cauchy–Schwarz inequality.

DOI
10.1088/1674-1056/18/8/055

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This paper studies the interaction of a Λ-type three-level atom with a single mode field. It discusses the emission spectrum characteristics of the Λ-type three-level atom driven by the photon-added coherent field. By means of the second-order degree of coherence, it shows some nonclassical properties of the cavity field, such as sub-Poissonian photon-number distribution and the two-time intensity–intensity correlation which violates the Cauchy–Schwarz inequality.
An analytical expression of the emission and absorption spectra, for a Λ-type three-level cavity-bound atom interacting with a two-mode cavity field, is given using the dressed states of the system. We take explicitly into account the existence of forms of nonlinearities of both the field and the intensity-dependent atom–field coupling. The characteristics of the emission and absorption spectra for binomial and squeezed coherent states of the modes are exhibited. The effects of the mean number of photons, detuning and the nonlinearity forms on the spectra are analysed.
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.
By means of time-evolution operator,we have studied the emission spectrum of a Λ-type three-level atom interacted resonantly with two-mode odd-even entangled coherent states cavity fields in the paper.The physical spectrum expression of radiation emitted by the atom was given.The results indicated that whether two lower levels are degeneracy or not,the emission spectra of Λ-type three-level atom occur Rabi splitting when average photon number of two-mode odd-even entangled coherent states cavity fields were very small.And intensity increased with degree of two-mode entangled coherent states cavity fields when two lower levels were degeneracy.Intensity increase with degree of one-mode entangled coherent states cavity fields and that intensity decreased with degree of another one-mode entangled coherent states cavity fields when two lower levels were degeneracy.The structure of the resonant emission spectra of the atomic system had ten peaks generally.
The treatment of a Λ-type three-level atom interacting with a single mode field in a cavity, explicitly taking the existence of forms of nonlinearities of both the field and the intensity-dependent atom-field coupling into account. Analytical expressions of the emission and absorption spectra are presented using the dressed states of the system. The characteristics of the emission and absorption spectra for binomial state and squeezedcoherent state inputs are exhibited. The effects of the mean number of photons, the detuning, and the nonlinearities on the spectra are investigated. It is shown that the features of the fluorescence and absorption spectra are influenced significantly by the kinds of nonlinearities.
Quantum statistic properties of a two-mode field initially in a coherent state resonantly interacting with a three-level V-type atom are investigated by means of the quantum theory and numerical calculations.The dependence of the sub-Poisson statistics,the coherent properties of two-mode cavity field,photon bunching and anti-bunching,and the violations of Cauchy-Schwarz inequality on the average photon number of the cavity mode,the coupling constant and the interaction time is discussed in three cases:(1) no state-selective measurement on the atom;(2) direct state-selective measurement on the atom;(3) state-selective measurement on the atom after the application of a classical field.The results indicate,when the state-selective measurement is performed on the atom,the sub-Poisson statistic properties is distinctly enhanced,the anti-correlative degree between two-mode is distinctly deadened,and the Cauchy-Schwarz inequality is always violated;the mode a anti-bunching exhibits when the state-selective measurement is performed on the atom and the average photon number difference of the two cavity modes is large.