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We demonstrate entanglement generation between mode pairs of a quantum field in a nonuniformly accelerated cavity in Minkowski space-time. The effect is sensitive to the initial state, the choice of the mode pair and bosonic versus fermionic statistics, and it can be stronger by orders of magnitude than the entanglement degradation between a nonuniformly accelerated cavity and an inertial cavity. Detailed results are obtained for massless scalar and spinor fields in (1+1) dimensions. By the equivalence principle, the results provide a model of entanglement generation by gravitational effects.

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