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Physical Review A

Suppression and acceleration effects of measurements on atomic decay in anisotropic photonic crystals

Yaping Yang, Michael Fleischhauer, Shi-Yao Zhu

Published Aug 11, 2003• 12 citations
Publisher

Abstract

We study the measurement-induced suppression or acceleration of the radiative decay of an atom embedded in an anisotropic photonic crystal. Due to the presence of a band gap in the electromagnetic density of states, repeated projections onto the excited state of the atom can lead to a suppression or acceleration effect already at rather low repetition rates. It is shown that in contrast to the isotropic band-gap materials, both suppression and acceleration effects are possible, depending on the detuning of the atomic transition from the band edge and the frequency of measurements.

DOI
10.1103/physreva.68.022103

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We study the measurement-induced suppression or acceleration of the radiative decay of an atom embedded in an anisotropic photonic crystal. Due to the presence of a band gap in the electromagnetic density of states, repeated projections onto the excited state of the atom can lead to a suppression or acceleration effect already at rather low repetition rates. It is shown that in contrast to the isotropic band-gap materials, both suppression and acceleration effects are possible, depending on the detuning of the atomic transition from the band edge and the frequency of measurements.
The radiative characteristics and the decay properties of a Λ-type excited atom embedded in anisotropic photonic crystals are studied. It is found that the dynamic properties of the atom and the propagating characteristics of the emitted field are apparently influenced by the relative position of the upper level from the forbidden gap and the two lower levels. By Von Neumann measurement, the effects of measurements on the decaying atom are investigated. The frequent projection on the excited state can lead to decay suppression or an acceleration effect at rather low repetition rates, depending on the frequency of measurements and the relative position of the upper level from the photonic crystals band edge.
We have studied the effects of quantum measurements on the decay of an excited Λ-type atom embedded in anisotropic photonic crystal. It is found that the decay of the atom can be suppressed os accelerated by the quantum measurements. This depends on the relative positions of the upper levels of the atom from the band edge and the frequency of the quantum measurements. Due to the effects of the anisotropic photonic crystal, the decay suppression effect can be obtained in relatively low frequencies of the quantum measurement.
We investigate spontaneous emissions from a three-level atom embedded in realistic anisotropic photonic band gap structures, where the band edge is assumed to be midway between the two upper levels of the atom. In the anisotropic model, the atom-field interaction is reduced to be smaller than that in the ideal isotropic model, which results in the reduction of suppression and oscillation effects in the spontaneous emission; however, we demonstrate that the suppression is strongly enhanced even in the anisotropic model by expanding the detuning between the upper level and the band edge, while the oscillation is greatly reduced. This demonstration is carried out by calculating the atomic state vector for a wide range of the detuning. Using the state vector, the atom-field interaction is studied for two field parts, a localized part and a propagating part, separately. For the localized part, the atom-field interaction is enhanced by expanding the detuning, in spite of the anisotropy, which leads to a strong suppression effect, while for the propagating part, the atom-field interaction is reduced, which leads to a weak oscillation effect. This result is relevant to strong memory effects with high-speed switching, which are attractive properties for a qubit.
We investigate the spontaneous-emission properties of a two-level atom embedded in a three-dimensional anisotropic photonic crystal. In addition to the modified density of states, the atom is driven by a coherent intense low-frequency field (LFF), which creates additional multiphoton decay channels with the exchange of two low-frequency photons and one spontaneous photon during an atomic transition. Due to the low frequency of the applied field, the various transition pathways may interfere with each other and thus give rise to a modified system dynamics. We find that even if all the atomic (bare and induced) transition frequencies are in the conducting band of the photonic crystal, there still may exist a photon–atom bound state in coexistence with propagating modes. The system also allows us to generate narrow lines in the spontaneous-emission spectrum. This spectrum is a function of the distance of the observer from the atom due to the band gap in the photonic crystal. The system properties depend on three characteristic frequencies, which are influenced by quantum interference effects. Thus these results can be attributed to a combination of interference and band-gap effects.
The spontaneous emission from a microwave-driven four-level atom embedded in an anisotropic photonic crystal is studied. Due to the modified density of state (DOS) in the anisotropic photonic band gap (PBG) and the coherent control induced by the coupling fields, spontaneous emission can be significantly enhanced when the position of the spontaneous emission peak gets close to the band gap edge. As a result of the closed-loop interaction between the fields and the atom, the spontaneous emission depends on the dynamically induced Autler–Townes splitting and its position relative to the PBG. Interesting phenomena, such as spectral-line suppression, enhancement and narrowing, and fluorescence quenching, appear in the spontaneous emission spectra, which are modulated by amplitudes and phases of the coherently driven fields and the effect of PBG. This theoretical study can provide us with more efficient methods to manipulate the atomic spontaneous emission.
We investigate the spontaneous radiation from a two-level atom embedded in a three-dimensional anisotropic photonic crystal with two bands. The properties of the spontaneous emission are dependent strongly on the position of the upper level. The faster and slower decay components can occur in the emitted field, but it does not mean the existence of both accelerated and inhibited components for the atomic population decay. The radiation spectrum is dependent on the location of the observer. We also study the influence of the existence of the two bands on spontaneous emission, Lamb shift, the emitted field, and the radiation spectrum.