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Physical Review A

Transfer of correlations from squeezed states of radiation to atoms in a generalized Jaynes-Cummings model

Donita Cohen, Y. Ben-Aryeh, A. Mann

Published Mar 1, 1994• 11 citations

Abstract

The correlations between two atoms in a generalized two-mode Jaynes-Cummings model (JCM), in the presence of a two-mode squeezed state, are studied. It is found that for a small amount of initial squeezing the correlations go back and forth between the radiation and the atoms. For large initial squeezing the atoms are found to be highly correlated at all times, while the squeezing of the radiation is destroyed as a function of time. In addition, the squeezing of the field is studied in the two-mode JCM and is compared to the one-mode squeezing that is obtained for the ordinary JCM. It is found that in the two-mode model the squeezing is preserved for longer times under the condition that ${\mathit{g}}_{1}$ and ${\mathit{g}}_{2}$ (the two coupling constants) are almost equal.

DOI: 10.1103/physreva.49.2040

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Acta Physica Sinica•Jan 1, 1995•0 citations

The correlations between two atoms in a generalized two-mode Jaynes-Cummings model (JCM), in the presence of a two-mode squeezed state, are studied. It is found that for a small amount of initial squeezing the correlations go back and forth between the radiation and the atoms. For large initial squeezing the atoms are found to be highly correlated at all times, while the squeezing of the radiation is destroyed as a function of time. In addition, the squeezing of the field is studied in the two-mode JCM and is compared to the one-mode squeezing that is obtained for the ordinary JCM. It is found that in the two-mode model the squeezing is preserved for longer times under the condition that

{\mathit{g}}_{1}

and

{\mathit{g}}_{2}

(the two coupling constants) are almost equal.

The statistical and fluctuational properties of an electromagnetic field in a nonideal cavity are studied with the help of the collective two-atom Jaynes-Cummings model taking into account losses of photons and spontaneous radiation of atoms into bath modes. For the coherent state of the field and excited initial state of atoms, the general analytical expressions for the second-order field correlation function, the second-order squeezing parameters, and the squared field amplitude are obtained by solving the master equation for the density matrix. The statistics and the degree of squeezing of the cavity field mode are studied as functions of the initial field intensity and of the coefficients of the energy dissipation of the system. It is shown that, for the two-atom dissipative model, compared to the single-atom model, the type of field statistics can be changed and the maximal degree of short-term squeezing can be increased.

In this paper, the general evolution laws of the two-photon Jaynes-Cummings model with initially arbitrary states have been investigated. And the emphasis is put on the influenec of the initial atomic coherence on the squeezing of radiative field in the two-photon Jaynes-Oummings model. As an example, the squeezing of the field in the interaction of a two-level atom of arbitrary initial states with the vacuum and coherent field is studied, and the squeezing of the field under various conditions has been calculated numerically.

Squeezed states of the Jaynes-Cummings (JC) model are constructed and the statistical properties of the field oscillator in these states are studied. The presence of interaction between the field oscillator and the atom results in the appearance of slow temporal variations in the average values of the dynamic quantities. Two cases essentially differ: When only one of two modes of the JC model is excited, the variations in time, in particular, of the average value of the coordinate are governed by the mode anharmonicity. In the case when both modes of the JC model with close frequencies are excited, the temporal variations represent collapse and revival of oscillations with the frequency

2k\sqrt {n + 1}

, where k is the constant of the atom-field oscillator interaction and n is the number of photons. The constructed squeezed vacuum states are not two-photon states, because the probability of finding an odd number of photons is not equal to zero and varies with time.

By means or investigating the time evolution of the atomic dipole squeezing and the field squeezing in the one-photon Jaynes-Cummings model and the nondege-nerate two-photon Jaynes-Cummings model, the relations between atomic dipole squeezing and squeezing in the radiating field are examined. The conditions under which the atom in atomic dipole squeezed state can radiate squeezed light are presented. The properties of the squeezing transformation between atomic dipole quadrature components and field quadrature components are also discussed. And in the atom-field coupling system, the two-photon transtion processes in producing squeezed light are superior to the one-photon transition processes.