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中国物理B：英文版

Photon statistics of the micromaser with a Kerr medium

吴曙东, 詹志明, 金丽霞

Published Jun 12, 2005• 0 citations
Publisher

Abstract

We have established the master equation for the micromaser with a Kerr medium,we have studied the photon statics of the micromaser with a Kerr medium field and analysed the influence of the Kerr effect on the photon statistics,The influence of the Kerr effect on the photon statistics is different in two regimes,In the thermal-atom regime,the Kerr effect produces quantum noise,and decreases the mean photon number.In the ultracold-atom regime,with the increase of the nonlinear parameter of the Kerr medium,the stability of the mean photon number and the normalized variance enhances the mean photon number,and the normalized variance exhibits collapse-revival phenomena periodically,their resonance peaks become lower,and the photon statistics of more and more regions are sub-Poissonian.

DOI
10.1088/1009-1963/11/12/010

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We have established the master equation for the micromaser with a Kerr medium,we have studied the photon statics of the micromaser with a Kerr medium field and analysed the influence of the Kerr effect on the photon statistics,The influence of the Kerr effect on the photon statistics is different in two regimes,In the thermal-atom regime,the Kerr effect produces quantum noise,and decreases the mean photon number.In the ultracold-atom regime,with the increase of the nonlinear parameter of the Kerr medium,the stability of the mean photon number and the normalized variance enhances the mean photon number,and the normalized variance exhibits collapse-revival phenomena periodically,their resonance peaks become lower,and the photon statistics of more and more regions are sub-Poissonian.
We have established the master equation for the micromaser with a Kerr medium. We have studied the photon statistics of the micromaser with a Kerr medium field and analysed the influence of the Kerr effect on the photon statistics. The influence of the Kerr effect on the photon statistics is different in two regimes. In the thermal-atom regime, the Kerr effect produces quantum noise and decreases the mean photon number. In the ultracold-atom regime, with the increase of the nonlinear parameter of the Kerr medium, the stability of the mean photon number and the normalized variance enhances the mean photon number and the normalized variance exhibits collapse-revival phenomena periodically, their resonance peaks become lower and the photon statistics of more and more regions are sub-Poissonian.
We have established the master equation for the micromaser with Kerr medium field density operator, studied the spectrum of the micromaser with Kerr medium and analyzed the influence of Kerr effect and the detuning on the spectrum. In the thermal-atom regime, we find that Kerr effect broadens linewidth D and increases frequency-shift S, and that the detuning Δ narrows linewidth D and increases frequency-shift S as a whole. Moreover Kerr effect leads to oscillatings more rapidly in the resonance peaks, which means that it causes quantum noise. As a whole, with the increase of cavity-length L, the linewidth D and frequency-shift S gradually increase.
We have established the master equation for the micromaser with the ultra-cold Λ-type three-level atoms and studied the photon statistics of the micromaser field. We find that as the atoms become colder, the change of the mean photon-number and the normalized standard deviation become more regular, and their resonance peaks become sharper. For zero-temperature cavity, there are some regions in which the photon statistics are sub-Poissonian. With the increase of the cavity temperature, both the mean photon-number and the normalized standard deviation increase. When the cavity temperature is high enough, the sub-Poissonian property may disappear.
In this paper, we establish the expression of photon statistics in the steady state in the micromaser with Kerr medium cavity, study the properties of the atomi c inversion in a stationary state when the atom is in thermal-atom, critical or ultracold-atom regimes in a micromaser. The results show that the properties of the atomic inversion in different regimes are very distinct. In the thermal-atom regime, there are some regions of the cavity length L where the atoms are i nversive, with the increase of the atomic injection rate r, the regions of a tomic inversion and the probability of the atomic inversion increase. In the cri tical regime, atomic inversion exhibits the collapse and revival phenomena. Howe ver, in ultracold-atom regime, there are all regions of the cavity length L where the atoms are not inversive. Kerr effect and the detuning make the probabi lity of the atomic inversion smaller.
We have established the master equation for the micromaser with Kerr medium field density operator,studied the spectrum of the micromaser with Kerr medium and analyzed the influence of Kerr effect and the detuning onthe spectrum. In the thermal-atom regime, we find that Kerr effect broadens linewidth D and increases frequency-shiftS, and that the detuning A narrows linewidth D and increases frequency-shift S as a whole. Moreover Kerr effect leadsto oscillatings more rapidly in the resonance peaks, which means that it causes quantum noise. As a whole, with theincrease of cavity-length L, the linewidth D and frequency-shift S gradually increase.
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.