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Theoretical and Mathematical Physics

Greatest lower bounds for the degrees of coherence of higher order for one-mode fields

B. A. Sotskii, Столяров Александр Дмитриевич

Published May 1, 1977• 1 citation
Publisher
DOI
10.1007/bf01036678

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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 integral of the Wigner function over a subregion of the phase space of a quantum system may be less than zero or greater than one. It is shown that for systems with 1 degree of freedom, the problem of determining the best possible upper and lower bounds on such an integral, over all possible states, reduces to the problem of finding the greatest and least eigenvalues of a Hermitian operator corresponding to the subregion. The problem is solved exactly in the case of an arbitrary elliptical region. These bounds provide checks on experimentally measured quasiprobability distributions.