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Bell inequalities and nonlocality have been widely studied in one-dimensionalquantum systems. As a kind of quantum correlation, it is expected thatbipartite nonlocaity should be present in quantum systems, just as bipartiteentanglement does. Surprisingly, for various models, two-qubit states do notviolate Bell inequalities, i.e., they are local. Recently, it is realized thatthe results are related to the monogamy trade-off obeyed by bipartite Bellcorrelations, thus it is believed that for general translation invariantsystems, two-qubit states should not violate the Bell inequality(Oliveira, EPL100, 60004 (2012)). In this report, we will demonstrate that in perfecttranslation invariant systems, the Bell inequality can be violated. Anontrivial model is constructed to confirm the conclusion.

Violation of Bell inequality in perfect translation invariant systems