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arXiv:1004.4395 · Communications in Theoretical Physics

Controlling Entanglement Dynamics by Choosing Appropriate Ratio between Cavity-Fiber Coupling and Atom-Cavity Coupling

Liao Chang-Geng, Yang Zhen-Biao, Chen Zi-Hong, Luo Cheng-Li

Published Oct 1, 2010• 10 citations
arXivHTMLPDF

Abstract

The entanglement characteristics including the so-called sudden death effect between two identical two-level atoms trapped in two separate cavities connected by an optical fiber are studied. The results show that the time evolution of entanglement is sensitive not only to the degree of entanglement of the initial state but also to the ratio between cavity-fiber coupling ( v ) and atom-cavity coupling ( g ). This means that the entanglement dynamics can be controlled by choosing specific v and g .

DOI
10.1088/0253-6102/54/4/17

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The entanglement characteristics including the so-called sudden death effect between two identical two-level atoms trapped in two separate cavities connected by an optical fiber are studied. The results show that the time evolution of entanglement is sensitive not only to the degree of entanglement of the initial state but also to the ratio between cavity-fiber coupling ( v ) and atom-cavity coupling ( g ). This means that the entanglement dynamics can be controlled by choosing specific v and g .
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We investigate the entanglement dynamics of a system that consists of four single-mode cavities that are spatially separated and connected by two optical fibers, with multiple two-level atoms trapped in each cavity. It is shown that the phenomenon of entanglement sudden death and sudden birth appears in this system and is sensitive to the initial conditions and the parameter r. In addition, we also study the entanglement and entangled state transfer between the atoms and find that a perfect transfer can be realized if the value of the parameter r satisfies a certain condition, established here.
The entanglement dynamics of two atoms initially in an entangled state system interacting with a bimodal field is investigated by making use of the concurrence and linear entropy.The effect of the initial entanglement degree of two atoms and the cavity field on the time evolution of concurrence is analyzed.The results show that the phenomenon of sudden death of the entanglement between two atoms occurs.The length of the death time interval is independent of the initial entanglement degree of two atoms.However,the death time depends on the initial entanglement degree of the cavity field.The atom and the field are entangled during all the evolution process.
Considering a system comprised of two-level atoms resonantly interacting with weak coherent states trapped in two distant cavities connected by an optical fiber initially, we study the entanglement properties of the atom-atom, the cavity-cavity and the atom-cavity. Then the influences of the ratio between fiber-cavity and atom-cavity coupling intensity, the intensity and the phase of the cavity field on the entanglement properties are investigated numerically. It is shown that the entanglements of the atom-atom, the cavity-cavity and the atom-cavity vary with time in the periodical or approximately periodical manner; the entanglement can be transferred from cavity-cavity to atom-atom reciprocally. Compared with the entanglements of atom-atom and cavity-cavity, the varying period of atom-cavity entanglement is short. The ratio of fiber-cavity coupling intensity to atom-cavity coupling intensity and the phase of cavity field affect the entanglement properties greatly. The great entanglement can be achieved by using a smaller ratio of coupling intensity between fiber-cavity and atom-cavity.
Three two-level atoms are trapped in two initially empty cavities that are connected by an optical fiber.We investigate the entanglement evolution between two atoms in the same cavity and the entanglement evolution between two cavities.We discuss the influences of the state-selective measurement on the entanglement and that of fiber-cavity coupling coefficient on the entanglement.The obtained results show that atom-atom entanglement property has a nonlinear relation with increasing of the cavity-fiber coupling coefficient,and cavity-cavity entanglement property is weakened with increasing of the cavity-fiber coupling coefficient.On the other hand,the results also show that the entanglement between two cavities and that between two atoms can be strengthened through the state-selective measurement on the atom.