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Chinese journal of atomic and molecular physics

SUB-POISSONIAN PHOTON STATISTICS IN A MICROSCOPIC RADIATION WITH A RYDBERG ATOM

Qiao Gu

Published Jan 1, 1989• 0 citations
OpenAlex

Abstract

Using the Jaynes-Cummings model, which describes the interaction between a two-level atom and a single mode of the radiation field, we show that a microscopic rabiation with a Rydberg atom is capable of producing noncla-ssical field with sub-poissonian photon statistics (SPPS) . The time evolution for SPPS is analysed and the dependence of SPPS on several parameters, such that, detuning, coupling and temperature is demonstrated.

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Using the Jaynes-Cummings model, which describes the interaction between a two-level atom and a single mode of the radiation field, we show that a microscopic rabiation with a Rydberg atom is capable of producing noncla-ssical field with sub-poissonian photon statistics (SPPS) . The time evolution for SPPS is analysed and the dependence of SPPS on several parameters, such that, detuning, coupling and temperature is demonstrated.
The Jaynes-Cummings model describes the interaction between a two-level atom and a single mode of the radiation field. This system has a conservation law which restricts its dynamics. On the basis of this conservation law alone one can make useful statements about the photon statistics of the fields which arise in the model. Two cases are considered. In the first the field is initially in a coherent state. Here it is found that the field statistics become less sub-Poissonian as the amplitude of the initial state increases. The case of an initial thermal state is also considered. In that situation, if the average number of photons present in the initial state is greater than 2.55, then the field statistics can never become sub-Poissonian.
We study sub-Poissonian photon statistics of light in interaction of a single mode radiation, initially either in a coherent state or in a superposed coherent state with an assembly of two-level atoms using the Hamiltonian, H = ω(a+a + Sz) + g(aS+ + a+ S–) in natural units, where a+ and a are creation and annihilation operators, Sz, S ± are the collective Dicke operators, g is the coupling constant, and ω is the energy of the photons and also the separation between the two atomic levels. We study the cases of (i) a single two-level and (ii) of two two-level atoms interacting with a single mode coherent or superposed coherent radiation. We find that for large coupling time gt, Fano factor shows collapses and revival phenomena, and that the variation is large for small mean number of photons. We also find that in the case of two two-level atoms, photon statistics shows larger sub-Poissonian than the case of a single two-level atom, and that there is no definite relationship between squeezing and sub-Poissonian photon statistics of light.
In the present paper we study higher-order sub-Poissonian photon statistics in interaction of a single mode radiation initially in the coherent state Ŧα〉 with an assembly of two excited two-level atoms using the Hamiltonian, H=ω(a+a+Sz)+g(aS++a+S.), in the natural system of units. Here, α=|α|eiθα, a is the annihilation operator for radiation, Sz and S± are the collective Dicke operators, g is the coupling constant, ω is the energy of the photons and the energy difference between the two atomic levels. We solve it exactly and conclude that higher-order sub-Poissonian photon statistics can be obtained for an arbitrary order by choosing suitably the square root of mean photon number |α| of the coherent radiation and coupling time gt. Variations of higher-order sub-Poissonian photon statistics with parameters |α| and gt have also been discussed.