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Equivalent-neighbor interactions of the conduction-band electron spins ofquantum dots in the model of Imamoglu et al. [Phys. Rev. Lett. 83, 4204 (1999)]are analyzed. Analytical solution and its Schmidt decomposition are found andapplied to evaluate how much the initially excited dots can be entangled to theremaining dots if all of them are initially disentangled. It is demonstratedthat the perfect maximally entangled states (MES) can only be generated in thesystems of up to 6 dots with a single dot initially excited. It is also shownthat highly entangled states, approximating the MES with a good accuracy, canstill be generated in systems of odd number of dots with almost half of thembeing excited. A sudden decrease of entanglement is observed by increasing thetotal number of dots in a system with a fixed number of excitations.Comment: 6 pages, 7 figures, to appear in Phys. Rev.

Generation of maximum spin entanglement induced by a cavity field in quantum-dot systems