Entanglement production and decoherence-free subspace of two single-mode cavities embedded in a common environment

Physics – Quantum Physics

Scientific paper

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10 pages, 7 figures, Revtex4

Scientific paper

10.1088/0305-4470/38/16/008

A system consisting of two identical single-mode cavities coupled to a common environment is investigated within the framework of algebraic dynamics. Based on the left and right representations of the Heisenberg-Weyl algebra, the algebraic structure of the master equation is explored and exact analytical solutions of this system are obtained. It is shown that for such a system, the environment can produce entanglement in contrast to its commonly believed role of destroying entanglement. In addition, the collective zero-mode eigen solutions of the system are found to be free of decoherence against the dissipation of the environment. These decoherence-free states may be useful in quantum information and quantum computation.

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