For N particles in a common boson bath, the critical coupling for the excitation-trapping transition is non-monotonic in N and is reduced by ferromagnetic Ising coupling.
Thus, for α → 0, the domain |ω − ∆| ≲ J(∆) dominates the contribution to Eq
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Dynamic transition of the generalized Jaynes-Cummings model: multi-particles and inter-particle interaction effects
For N particles in a common boson bath, the critical coupling for the excitation-trapping transition is non-monotonic in N and is reduced by ferromagnetic Ising coupling.