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Abstract
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In this work, we study the control of dynamics of entanglement and its protection in
different Jaynes–Cummings models. To preserve atom–field entanglement in Jaynes–
Cummings model and its extension to two-photon Jaynes–Cummings model,we apply
a scheme which is based on the parity kick. In fact, the scheme is based on the antisymmetry
properties of the Hamiltonian of system.We also apply the method to protect
atom–atom entanglement for a system of two two-level atoms inside a single-mode
cavity. The control process of entanglement dynamics is implemented as a sequence
of cyclic evolutions and makes it possible to protect the atom–field and atom–atom
entanglements for any given initial state with desired long time.
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