Quantum statistics of two coupled field modes

A. Alaoui

LI Rui-q

We consider the system which is composed of a two-level atom and a two-mode cavity,and two modes are coupled in the cavity.The evolution of the state vector of the system is given.The squeezing,antibunching effect and the photon number statistical distribution of two-mode field are investigated.First,through calculating the fluctuations of two quadrature components of the field,we get that a-mode and b-mode of two-mode field do not both display squeezing.Second,by calculating second-order correlation function of two-mode field,the results show that a-mode and b-mode of two-mode field both display antibunching effects,and there is anti-correlation between the two modes.Third,by means of the numerical calculations,we plot evolution curves of Mandel Q function for different values of the coupling constants between two modes.Through comparing these curves,the influence of coupling constant between two modes on the photon number statistical distribution of the field is discussed.The evolution curves of Mandel Q function show that the two-mode cavity field displays sub-Poisson distribution.Moreover,the sub-Poisson distribution is weakened with increasing of the coupling constant between two modes.

M. J. Everitt, Terrence D. Clark, P. B. Stiffell +4 more

In this paper we investigate the behavior of a fully quantum mechanical system consisting of a mesoscopic SQUID ring coupled to one or two electromagnetic field modes. We show that we can use a static magnetic flux threading the SQUID ring to control the transfer of energy, the entanglement and the statistical properties of the fields coupled to the ring. We also demonstrate that at, and around, certain values of static flux the effective coupling between the components of the system is large. The position of these regions in static flux is dependent on the energy level structure of the ring and the relative field mode frequencies, In these regions we find that the entanglement of states in the coupled system, and the energy transfer between its components, is strong.

Elliot W. Montroll, John Ward

Fang Jia-Yuan, Huang Chun-Jia, Huang Zu-hong +2 more

The statistic properties of photons in the system of two-mode squeezing vacuum field interacting with two coupling atoms in Kerr medium are studied by means of quantum theory.The influences of coupling constant χ, initial squeezed parameter r and the atomic initial state are discussed. The results obtained by means of numerical method show that the photon bunching and anti-bunching appear alternately, and the correlation of the two modes of light is both positive and non-classical. The periodical collapse-revival phenomenon of the time evolution of the second-order coherence degree of the two-mode field appears due to the influence of the Kerr effect. The periods of the collapse-revival become short up to disappearance with increasing Kerr effect.