Quantum theory of the micromaser with ultra-cold Λ-type three-level atoms

John Martin, Thierry Bastin

José Ignacio Martín, Thierry Bastin

V. E. Colussi, José Paulo D'Incao, Chris H. Greene

Zhang Zhi-ming, LI Xian-feng, Zhou Shi-kang

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.

A.‐S. F. Obada, Mahmoud Abdel‐Aty

We generalize a study of the behavior of a three-level atom in a single-mode mazer. Our formulation takes into account the interaction region and the spatial variation along the cavity axis. A general analytic time-dependent solution is obtained, and some special cases reduce to very simple expressions. When propagation effects are taken into consideration, the emission probability is influenced significantly. We provide the necessary arguments to justify the validity of our conclusions for emission probability and micromaser whose dynamics is governed by the wave function. Our main conclusion is that in the present system, the inclusion of the spatial dependence of the cavity region is necessary and important. We provide numerous examples to illustrate this correspondence, and provide evidence of its usefulness.

John Martin, Solano, E., Nicim Zagury +1 more