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Journal of Physics B Atomic Molecular and Optical Physics

Quantum interference via spontaneous emission in a dielectric cavity between photonic crystals

Ali A. Kamli

Published Oct 9, 2001• 4 citations
Publisher

Abstract

Spontaneous emission in a three-level atom is investigated inside a dielectric cavity between asymmetrically photonic crystals. The photonic crystals are treated within the effective medium approach and the modes dispersions and field amplitudes are determined. The atomic probability amplitudes and spontaneous emission spectra are evaluated for different atomic and cavity parameters. The probability amplitudes show interference effects due to spontaneous emissions from the upper levels to the lower level. Interesting features arise for the variations of the probability amplitudes and spontaneous emission spectra with the variations of frequency near the photonic crystals including dark lines and multi-peaks.

DOI
10.1088/0953-4075/34/20/305

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Spontaneous emission in a three-level atom is investigated inside a dielectric cavity between asymmetrically photonic crystals. The photonic crystals are treated within the effective medium approach and the modes dispersions and field amplitudes are determined. The atomic probability amplitudes and spontaneous emission spectra are evaluated for different atomic and cavity parameters. The probability amplitudes show interference effects due to spontaneous emissions from the upper levels to the lower level. Interesting features arise for the variations of the probability amplitudes and spontaneous emission spectra with the variations of frequency near the photonic crystals including dark lines and multi-peaks.
The two models of three-level (one upper level and two lower levels, or two upper levels and one lower level) atom embedded in a double-band photonic crystal are adopted. The atomic transitions from the upper levels to the lower levels are assumed to be coupled by the same reservoir which are respectively the isotropic photonic band gap (PBG) modes, the anisotropic PBG modes and the free vacuum modes. The effects of the fine structure of the atomic ground state levels in the model with one upper level and two lower levels and the quantum interferences in the model with two upper levels and one lower level on the spontaneous emission spectrum of an atom are investigated in detail. Most interestingly, it is shown that new spontaneous emission lines are produced from the fine splitting of atomic ground state levels in the isotropic PBG case. The quantum interferences induce additional narrow spontaneous lines near the transition from the empty upper level to the lower level.
The spontaneous emission of a four-level atom embedded in a one-dimensional photonic crystal is investigated. The atom has two upper levels coupled by the same vacuum modes to a common lower level and is driven by a coherent field to an auxiliary level. Spontaneous emission can be suppressed significantly due to the combinational influences of the interference effect and the band edge effect. The radiation field emitted by the atom is also studied. Spontaneous emission can be modified by controlling the Rabi frequency of the driving.
[[abstract]]We study the spontaneous emission (SE) spectra of a three-level A-type atom in photonic crystals. The air-band, the dielectric-band and the free-space vacuum reservoirs coupled with the atom are considered. With the consideration of the phase difference between the air-band and the dielectric-band fields, two band reservoirs become coherent and can interfere with each other. This interference effect depends on the embedded position of the atom and the band-gap width and can affect the SE spectrum. The effect of this interference on the SE spectrum is shown.
The spontaneous emission spectrum from a V-type three-level atom embedded in a double-band photonic band gap (PBG) material has been investigated for the first time. Most interestingly it is shown that there is not only a black dark line, but also a narrow spontaneous line near the edges of the double photonic band. The positions of the dark line and narrow spontaneous line are near the transition from an empty upper level to a lower level. The lines stem from destructive and constructive quantum interferences, which induce population transfer between the two upper levels, in the PBG reservoirs. The effects of system parameters on the interference have been discussed in detail.
Spontaneous emission from a V-type three-level atom in a photonic crystal is investigated. Quantum interference between the two atomic transitions affects the constructor of dressed states, and leads to an interesting behavior of the populations in the two upper levels: antitrapping, periodic oscillation, and no population inversion. Those properties depend strongly on the relative position of the upper levels from the forbidden gap and the initial state of the atom, and differ from that of a two-level atom in a photonic crystal. The emitted field, which is composed of localized mode(s) and propagating mode(s), is also studied. Quantum interference can enhance or reduce the energy of the localized field.
A model of a four-level atom embedded in a double-band photonic crystal (PC) is presented. The atomic transitions from the upper two levels to the lower two levels are coupled by the same reservoir which is assumed in turn to be isotropic PC modes, anisotropic PC modes and free vacuum modes. The effects of the fine structure of the atomic ground state levels and the quantum interference on the spontaneous emission spectrum of an atom are investigated in detail. Most interestingly, it is shown for the first time that new spontaneous emission lines are produced from the fine splitting of atomic ground state levels in the isotropic PC case. Quantum interference induces additional narrow spontaneous lines near the transition from the empty upper level to the lower levels.