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Physics Letters A

Non-Markovian correlation function and direct analysis of spontaneous emission of an excited two-level atom

Chang-qi Cao, Jinrong Tian, Hui W. Cao

Published Oct 1, 2002• 3 citations
Publisher
DOI
10.1016/s0375-9601(02)01313-0

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The non-Markovian correlation spectra of spontaneous emission of an excited two-level atom are derived including the effect of finite size of the atom and all the possible contribution of allowed multipole radiations. The emission process is then analyzed by the quantum stochastic trajectory approach. The non-Markovian effect is counted in by expanding the original system to an enlarged system with Markovian reservoirs. In the case of a hydrogenlike atom with large atomic number Z, the deviation from the Weisskopf-Wigner result is quite evident.
Manipulating the dynamics of open quantum systems is a crucial requirement for large-scale quantum computers. Finding ways to overcome or extend decoherence times is a challenging task. Already at the level of a single two-level atom, its reduced dynamics with respect to a larger environment can be very complex. Structured environments, for instance, can lead to various regimes other than memoryless Markovian spontaneous emission. Here, we consider an atom coupled to an array of coupled cavities in the presence of on-site correlated disorder. The correlation is long-ranged and associated with the trace of a fractional Brownian motion following a power-law spectrum. With the cavity modes playing the role of the environment, we study the dynamics of the spontaneous emission. We observe a change from non-Markovian to Markovian decay in the presence of disorder by tuning the correlation parameter. This is associated with a localization-delocalization transition involving the field modes. Two dissipative models that effectively reproduce the behavior of the non-Markovianity are discussed. The dissipation dynamics of the atom can thus be used to extract information about the phase of the environment. Our results provide a direction in the engineering of disordered quantum systems to function as controllable reservoirs.
The memory function of non-Markovian spontaneous emission decay process is investigated.We obtained the non-Markovian memory function and the reservoir coupling spectrum of a two-level atom embedded in a sandwich structure by the means of quantum optics.Because the modes interact with different weights to the atom,a weight factor is considered in the spectrum.As the emission field is perturbed by the sandwich structure,some pulse-like oscillations occur in memory function.The memory function is related to the Fourier transform of the spectrum,thus the wider spectrum leads to the shorter memory time.