Sudden birth versus sudden death of entanglement for the extended Werner-like state in a dissipative environment |
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Authors: | Shan Chuan-Ji ChenTao Liu Ji-Bing Cheng Wei-Wen Liu Tang-Kun Huang Yan-Xia and Li Hong |
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Institution: | College of Physics and Electronic Science, Hubei Normal University, Huangshi 435002, China |
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Abstract: | In this paper, we investigate the dynamical behaviour of
entanglement in terms of concurrence in a bipartite system
subjected to an external magnetic field under the action of
dissipative environments in the extended Werner-like initial state.
The interesting phenomenon of entanglement sudden death as well as
sudden birth appears during the evolution process. We analyse in
detail the effect of the purity of the initial entangled state of two qubits
via Heisenberg XY interaction on the apparition time of entanglement
sudden death and entanglement sudden birth. Furthermore, the
conditions on the conversion of entanglement sudden death and
entanglement sudden birth can be generalized when the initial
entangled state is not pure. In particular, a critical purity of the
initial mixed entangled state exists, above which entanglement
sudden birth vanishes while entanglement sudden death appears. It is
also noticed that stable entanglement, which is independent of
different initial states of the qubits (pure or mixed state), occurs
even in the presence of decoherence. These results arising from the
combination of the extended Werner-like initial state and dissipative
environments suggest an approach to control and enhance the
entanglement even after purity induced sudden birth, death and
revival. |
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Keywords: | entanglement sudden death (birth) extended Werner-like
state stable entanglement |
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