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Journal of Physics B Atomic Molecular and Optical Physics

Quantum theory of the micromaser with ultracold cascade three-level atoms: II. Spectral properties

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

Published May 26, 2000• 9 citations
Publisher

Abstract

We study the spectrum of the micromaser injected with ultracold cascade three-level atoms. We examine the effects of the atomic centre-of-mass motion, the cavity length, the atom-field detuning, the ratio of the atomic injection rate to the cavity decay rate, and the number of photons in thermal equilibrium on the spectrum. We find that the micromaser injected with ultracold three-level atoms shows new spectral properties which are different from those of the micromaser injected with ultracold two-level atoms and the micromaser injected with thermal two- or three-level atoms. The main conclusions are that the linewidth can be broadened and the frequency can be either red-shifted or blue-shifted.

DOI
10.1088/0953-4075/33/11/312

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We study the spectrum of the micromaser injected with ultracold cascade three-level atoms. We examine the effects of the atomic centre-of-mass motion, the cavity length, the atom-field detuning, the ratio of the atomic injection rate to the cavity decay rate, and the number of photons in thermal equilibrium on the spectrum. We find that the micromaser injected with ultracold three-level atoms shows new spectral properties which are different from those of the micromaser injected with ultracold two-level atoms and the micromaser injected with thermal two- or three-level atoms. The main conclusions are that the linewidth can be broadened and the frequency can be either red-shifted or blue-shifted.
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.
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.
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 thess results has been explained.
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.
In this paper, we study the influence of atomic decay on the linewidth of a two-photon micromaser using an exact Hamiltonian approach. We consider a three-level cascade atomic system (where each level has a finite lifetime) interacting with a single mode of the radiation field. The intermediate level is considered to be off resonant with the field. We calculate the linewidth for both small- and large-detuning limits. In both cases, the well known oscillatory behaviour of the linewidth vanishes for large decay rates. We also find a reduction in the linewidth in certain regions of interaction times. In the limit of small decay rates, we recover the linewidth of the ordinary two-photon micromaser. We also compare the results under the large-detuning limit with the results obtained using a phenomenological Hamiltonian approach.