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本文利用数值对角化方法,探讨了非旋波近似下双光子Jaynes-Cummings(J-C)模型在不同的参数条件下的原子压缩效应。结果表明,在近可积极限情形,原子压缩效应与星子崩塌与复苏现象可观察到,而在远离近可积极限情形,这些非经典现象近乎完全消失。这些结论对研究量子个可积特性提供了一定的数值依据。
In this paper, we use numerical diagonalization method to investigate the atomic compression effect of two-photon Jaynes-Cummings (J-C) model under different parameters under non-rotational approximation. The results show that the phenomena of atomic compression and the collapse and recovery of the asteroid are observed in the near-positive limit, and the non-canonical phenomena disappear almost completely away from the near-positive limit. These conclusions provide a certain numerical basis for the study of quantum integrable properties.