Entanglement production and decoherence-free subspace of two single-mode cavities embedded in a common environment
Jun‐Hong An, Shun-Jin Wang, Hong‐Gang Luo · Journal of Physics A Mathematical and General · 2005
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 eigensolutions 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.