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Chinese Physics Letters

Atomic Coherence in the Micromaser Injected with Slow V-type Three-State Atoms: Emission Probability

Zhi‐Ming Zhang, Liang Wen-Qing, Sheng-Wu Xie

Published Feb 1, 2001• 12 citations
Publisher

Abstract

The effects of atomic coherence on the single-mode two-photon micromaser injected with slow V-type three-state atoms are studied for the first time. It is shown that the atomic coherence can modify the atomic emission probability. The effects of the atomic centre-of-mass momentum, the cavity length and other parameters are also studied.
DOI
10.1088/0256-307x/18/2/323

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The effects of the atomic coherence on the photon statistics of the micromaser injected with ultra-cold V-type three-level atoms are studied.In the plot of the atomic emission probability versus the cavity length, there are resonance peaks and non-resonance platforms, which can be adjusted by the atomic coherence parameters.These features of emission probability affect the properties of photon statistics directly. In the plot of the mean number of photons versus the cavity length, there are resonance peaks and non-resonance platforms,too. Given a cavity length, with the change of the atomic coherence parameters, the distribution of photon numbers can move towards the large or small photon numbers, and the mean number of photons increases or decreases accordingly.We also find, with appropriate atomic coherence parameters, that the photon statistics are sub-Poissonian in large region of the cavity length.
The transmission probability of the two-mode mazer injected with V-type three-level atoms is studied and the effects of the atomic coherence on it are examined. It is shown that the atomic coherence can affect the transmission probability. In the plots of the atomic transmission probability versus the dimensionless centre-of-mass momentum, there are resonance peaks and non-resonance platforms. The heights of these resonance peaks and non-resonance platforms can be adjusted by the atomic coherence parameter and by the relative coupling strength of the two transition channels.
We investigate the effects of the injected atomic coherence on the atomic emission probability of the micromaser injected with ultracold cascade three-level atoms by considering that the atoms are initially in the coherent superposition states of the two upper levels. We show that there is no interference between the transitions from the two upper levels to the lowest level. In the large atom-field-detuning case, the atomic emission probability decreases as the coherent parameter increases. In the zero atom-field-detuning case, the atomic emission probability has three sets of resonance peaks. The reason for these results has been explained.
The spectrum of the micromaser injected with Λ-type three-level atoms is studied. The spectrum has a Lorentzian lineshape and its central frequency has a shift. The effects of various parameters (for example, the atomic center-of-mass velocity, the cavity-length, the one-photon detuning, the ratio of the atomic injection rate to the cavity decay rate and the number of thermal photons) on the linewidth and the frequency shift are examined. The spectrum shows very different features in different velocity regimes, i.e., in the fast-atom regime, in the intermediate-velocity-atom regime, and in the slow-atom regime.
We derive the dressed states for the interaction of a cascade three-level atom with a quantum cavity field, suggest using ultra-cold cascade three-level atoms in micromasers, put forward the idea of the two-photon mazer, establish its general quantum theory and study its emission probability and photon statistics. We examine the effects of the atomic centre-of-mass momentum, the atom-field detuning, the photon number in thermal equilibrium, the ratio of the atomic injection rate to the cavity decay rate and the interaction length on the emission probability and the photon statistics.
The velocity selection of the V-type three-level-atom mazer with atomic coherence is studied. It is shown that the atomic coherence can strongly affect transmission probability, and in turn, the velocity selection of atoms through the micromaser cavity. When the incident atoms are initially prepared in the lower state of the two upper ones (i.e., no injected atomic coherence), velocity selectivity is at a maximum. This shows that atomic coherence does not have a favourable effect on velocity selectivity in this scheme. The effects of other parameters are also studied.