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Entanglement Dynamics of Two V‐type Atoms with Dipole–Dipole Interaction in Dissipative Cavity

Entanglement Dynamics of Two V‐type Atoms with Dipole–Dipole Interaction in Dissipative Cavity In this work, a coupled system of two V‐type atoms with dipole–dipole interaction in a dissipative single‐mode cavity, which couples with an external environment, is studied. The analytical solution of this model is obtained by solving the time dependent Schrodinger equation after Hamiltonian of dissipative cavity is diagonalized by introducing a set of new creation and annihilation operators according to Fano theorem. It is also discussed in detail how the entanglement dynamics of different initial states are influenced by the cavity‐environment coupling, the spontaneously generated interference (SGI) parameter, and the dipole–dipole interaction between two atoms . The results show that the SGI parameter has different effects on entanglement dynamics under different initial states. Namely, the SGI parameter will increase the decay rate of the initially maximal entangled state and reduce that of the initially partial entangled state. For the initially product state, the larger SGI parameter corresponds to the more entanglement generated. The entanglement monotonically decreases under the weak cavity‐environment coupling, while the oscillation of entanglement will occur under the strong cavity‐environment coupling. The larger the dipole–dipole interaction is, the slower the entanglement decays and the more the entanglement will be generated. So the dipole–dipole interaction can not only protect and generate entanglement very effectively, but also enhance the regulation effect of the SGI parameter on entanglement. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Annalen der Physik Wiley

Entanglement Dynamics of Two V‐type Atoms with Dipole–Dipole Interaction in Dissipative Cavity

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References (85)

Publisher
Wiley
Copyright
© 2023 Wiley‐VCH GmbH
ISSN
0003-3804
eISSN
1521-3889
DOI
10.1002/andp.202200659
Publisher site
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Abstract

In this work, a coupled system of two V‐type atoms with dipole–dipole interaction in a dissipative single‐mode cavity, which couples with an external environment, is studied. The analytical solution of this model is obtained by solving the time dependent Schrodinger equation after Hamiltonian of dissipative cavity is diagonalized by introducing a set of new creation and annihilation operators according to Fano theorem. It is also discussed in detail how the entanglement dynamics of different initial states are influenced by the cavity‐environment coupling, the spontaneously generated interference (SGI) parameter, and the dipole–dipole interaction between two atoms . The results show that the SGI parameter has different effects on entanglement dynamics under different initial states. Namely, the SGI parameter will increase the decay rate of the initially maximal entangled state and reduce that of the initially partial entangled state. For the initially product state, the larger SGI parameter corresponds to the more entanglement generated. The entanglement monotonically decreases under the weak cavity‐environment coupling, while the oscillation of entanglement will occur under the strong cavity‐environment coupling. The larger the dipole–dipole interaction is, the slower the entanglement decays and the more the entanglement will be generated. So the dipole–dipole interaction can not only protect and generate entanglement very effectively, but also enhance the regulation effect of the SGI parameter on entanglement.

Journal

Annalen der Physik – Wiley

Published: Jul 1, 2023

Keywords: dipole–dipole interaction; entanglement protection; initial states

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