Analytical solution and entanglement swapping of a double Jaynes–Cummings model in non-Markovian environments

Analytical solution and entanglement swapping of a double Jaynes–Cummings model in... Analytical solution and entanglement swapping of a double Jaynes–Cummings model in non-Markovian environments are investigated by the time convolution less master equation method. We obtain the analytical solution of this model and discuss in detail the influence of atom–cavity coupling, non-Markovian effect and initial state purity on entanglement dynamics. The results show that in the non-Markovian environments, the entanglement between two cavities can be swapped to other bipartite subsystems by interaction between an atom and its own cavity. Due to the dissipation of environment, the entanglements of all bipartite subsystems will eventually decay to zero when the atom couples weakly to its cavity and the non-Markovian effect is also weak. All bipartite subsystems can tend to steady entanglement states if and only if there is the strong atom–cavity coupling or the strong non-Markovian effect. The steady state of the subsystem composed of an atom and its own cavity is independent on the purity, but the steady states of other bipartite subsystems are dependent on the purity. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

Analytical solution and entanglement swapping of a double Jaynes–Cummings model in non-Markovian environments

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Publisher
Springer Journals
Copyright
Copyright © 2015 by Springer Science+Business Media New York
Subject
Physics; Quantum Information Technology, Spintronics; Quantum Computing; Data Structures, Cryptology and Information Theory; Quantum Physics; Mathematical Physics
ISSN
1570-0755
eISSN
1573-1332
D.O.I.
10.1007/s11128-015-1006-0
Publisher site
See Article on Publisher Site

Abstract

Analytical solution and entanglement swapping of a double Jaynes–Cummings model in non-Markovian environments are investigated by the time convolution less master equation method. We obtain the analytical solution of this model and discuss in detail the influence of atom–cavity coupling, non-Markovian effect and initial state purity on entanglement dynamics. The results show that in the non-Markovian environments, the entanglement between two cavities can be swapped to other bipartite subsystems by interaction between an atom and its own cavity. Due to the dissipation of environment, the entanglements of all bipartite subsystems will eventually decay to zero when the atom couples weakly to its cavity and the non-Markovian effect is also weak. All bipartite subsystems can tend to steady entanglement states if and only if there is the strong atom–cavity coupling or the strong non-Markovian effect. The steady state of the subsystem composed of an atom and its own cavity is independent on the purity, but the steady states of other bipartite subsystems are dependent on the purity.

Journal

Quantum Information ProcessingSpringer Journals

Published: May 5, 2015

References

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