Abstract
Dynamics of an open system is vividly influenced by the structure of environments. This paper studies in detail the dynamics of a two-level atom in the presence of an overall environment composed of two hierarchies. The first hierarchy is just a single lossy cavity while the second hierarchy consists of a number of other lossy cavities. The atom is coupled directly to the first hierarchy but indirectly to the second one via the couplings between the two hierarchies. We show that even when the coupling between the atom and the first hierarchy is weak the atom's dynamics can become non-Markovian if the number of cavities in the second hierarchy or/and the coupling between the two hierarchies are large enough. We also analyze the case when the coupling between the atom and the first hierarchy is strong and show that the non-Markovian dynamics exhibits different patterns depending on both the number of cavities in the second hierarchy and the coupling between the two hierarchies.
Highlights
The dynamics of open quantum systems is a fundamental issue [1] and relevant to the realization of quantum information technology [2] that employs practical quantum systems as basic resources
For a bipartite open system with each of its subsystems locally interacting with a subsystem of a composite environment, the initial correlations between the subsystems of the environment can lead to non-Markovian behavior of the total open system, the local dynamics of both subsystems of the system are Markovian [39]
We have investigated the dynamics of a two-level system in a composite environment with two hierarchies
Summary
The dynamics of open quantum systems is a fundamental issue [1] and relevant to the realization of quantum information technology [2] that employs practical quantum systems as basic resources. [54], the authors study the dynamics of a two-level atom coupled to a composite environment that is composed of a single-mode cavity and a structured reservoir with a Lorentzian spectrum. They focus on how the atom dynamics is influenced by the atom-cavity coupling strength and the reservoir memory time. In the strong coupling regime, we shall show that under the influence of the second environmental hierarchy the system’s non-Markovian dynamics would exhibit different patterns along with the variations of the coupling strengths between the two hierarchies of the environment
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