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Journal of Fujian Normal University

Evolution of Two Atoms' Concurrence and Preparation of an Entangled State Through Cavity

Zhihua Chen

Published Jan 1, 2007• 0 citations
OpenAlex

Abstract

Discusses the evolution of two atoms' concurrence when two atoms and a cavity mode interact resonantly.The result shows that the maximally entangled state can be prepared by controlling interaction time.In addition,it also consider the influence of atomic spontaneous emission and cavity decay on atomic concurrence.

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Spontaneously created entanglement between two atoms

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Optics and Spectroscopy•Mar 1, 2010•4 citations
This paper investigates quantum entanglement of two atoms in the non-dissipative and dissipative cases by means of concurrence.The results indicate that maximum entanglement condition can be prepared by controlling the interacting time and due to the two-photon transition of atoms,the time required to prepare the maximum entanglement in two-photon Tavies-Cummings model is of that in single-photon Tavies-Cummings model.In addition,the atomic spontaneous emission and cavity decay make the maximum coherence of two atoms decrease periodically.
Abstract. We discuss the creation of entanglement between two two-level atoms in the dissipative process of spontaneous emission. It is shown that spontaneous emission can lead to a transient entanglement between the atoms even if the atoms were prepared initially in an unentangled state. The amount of entanglement created in the system is quantified by using two different measures: concurrence and negativity. We find analytical formulas for the evolution of concurrence and negativity in the system. We also find the analytical relation between the two measures of entanglement. The system consists of two two-level atoms which are separated by an arbitrary distance r12 and interact with each other via the dipole-dipole interaction, and the antisymmetric state of the system is included throughout, even for small inter-atomic separations, in contrast to the small sample model. It is shown that for sufficiently large values of the dipole-dipole interaction initially the entanglement exhibits oscillatory behaviour with considerable entanglement in the peaks. For longer times the amount of entanglement is directly related to the population of the slowly decaying antisymmetric state.
Spontaneous emission as a potential tool for creation of entanglement between two atoms is investigated. We assume that the atoms are coupled to the same environment and study entanglement engineering between the atoms and its transfer between different states. The role of the atomic coherence induced by spontaneous emission will be explored which, in contrast to what is generally believed, can create entanglement between initially unentangled atoms. We quantify entanglement by the concurrence and find that it exhibits threshold properties that can lead to interesting noncontinuous phenomena of sudden birth and sudden death of entanglement. In addition, we consider the mechanism involved in creation of entanglement between distant atoms coupled to a single-mode cavity field. We include a possible variation of the coupling constants between the atoms and the cavity mode with location of the atoms in a standing-wave cavity mode. Effectively, we engineer two coupled atoms whose the dynamics are analogous to that of interacting and collectively damped two nonidentical atoms. We illustrate the interesting result that spatial variations of the coupling constants can lead to a stationary entanglement between the atoms. We explain this effect in terms of the trapping phenomenon of atomic population in a non-decaying entangled state.