Exact results on decoherence and entanglement in a system of N driven atoms and a dissipative cavity mode

Abstract

We solve the dynamics of an open quantum system where N strongly driven two-level atoms are equally coupled on resonance to a dissipative cavity mode. Analytical results are derived on decoherence, entanglement, purity, atomic correlations and cavity field mean photon number. We predict decoherence-free subspaces for the whole system and the N-qubit subsystem, the monitoring of quantum coherence and purity decay by atomic populations measurements, the conditional generation of atomic multi-partite entangled states and of cavity cat-like states. We show that the dynamics of atoms prepared in states invariant under permutation of any two components remains restricted within the subspace spanned by the completely symmetric Dicke states. We discuss examples and applications in the cases N=3,4.

arXiv comment7 pages, 4 figures, accepted in EPJD

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• The coherent interaction between matter and radiation - A tutorial on the Jaynes-Cummings model
• Periodic revival of entanglement of two strongly driven qubits in a dissipative cavity
• Entanglement dynamics and decoherence of an atom coupled to a dissipative cavity field
• Tripartite entanglement dynamics in a system of strongly driven qubits