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We investigate the effect of counter-rotating-wave terms on bell nonlocality (BN) and entanglement for three qubits coupled with a Lorentz-broadened cavity mode at zero temperature for strong and ultrastrong coupling regimes by employing exact numerical hierarchical equations of motion approach (HEOM). Our findings are as follows: (i) the counter-rotating wave terms significantly increase the rate of decoherence in the three-qubit system; (ii) a consistent transfer of Bell nonlocality between the three-qubit state and its subsystem is observed when the interaction between the qubits and the bath is asymmetrical, which provides effective numerical evidence for the monogamy and complementarity of multipartite nonlocality; (iii) the counter-rotating wave terms can enhance genuine tripartite nonlocality in the qubit system; and (iv) these terms do not significantly generate three-party correlations in zero-excitation cases, which differs from previous studies involving two qubits., Comment: 10 pages, 7 figures

As a precious global resource in quantum information, genuine tripartite nonlocality(GTN) can be quantified by violating Svetlichny inequality. However, there is still no analytical expression for the general three-qubit states due to the difficulty of theoretical calculations. In this paper, we achieve highly accurate quantization of GTN for arbitrary three-qubit quantum states numerically. As an example, we study the dynamics of GTN and genuine tripartite entanglement(GTE) for the W state. Moreover, the complementarity of GTN is verified by examining the nonlocality between the tripartite and the bipartite. Finally, we also find a useful strategy to protect the correlation of GTN and GTE under decoherence by utilizing the Zeno effect., Comment: 7 pages, 7 figures