多体系统与电磁场相互作用的大失谐极限
Large detuning limit for the multipartite systems interacting with electromagnetic fields
摘要：
我们研究了多体系统与电磁场非共振相互作用的动力学，并表明，由于耦合强度$g$由所涉及的微粒数的平方根共同增强，忽略有效哈密顿量的快速振荡项的更严格的大失谐条件应该是$Δ\gg\sqrt{N}g$，而不是文献中通常使用的$Δ\gg g$，即使在多组分系统的情况下，用$Δ$表示失谐，和$N$表示微粒的数量。这个结果是有意义的，因为仅仅满足原始条件将导致无效的有效哈密顿量和错误的参数与失谐在多部的情况下。
英文摘要：
We study the dynamics of the multipartite systems nonresonantly interacting with electromagnetic fields and show that, since the coupling strength $g$ is collectively enhanced by the square root of the number of microparticles involved, the more rigorous large detuning condition for neglecting the rapidly oscillating terms for the effective Hamiltonian should be $Δ\gg\sqrt{N}g$, instead of $Δ\gg g$ usually used in the literature even in the case of multipartite systems, with $Δ$ the detuning and and $N$ the number of microparticles. This result is significant since merely the satisfaction of the original condition will result in the invalidity of the effective Hamiltonian and the errors of the parameters associated with the detuning in the multipartite case.
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