The interplay between quantum-mechanical and classical evolutions in a chirped-driven Rydberg atom is discussed. It is shown that the system allows two continuing resonant excitation mechanisms, i.e., a successive two-level transitions (ladder climbing) and a continuing classicallike nonlinear phase locking (autoresonance). The persistent 1:1 and 2:1 resonances between the driving and the Keplerian frequencies are studied in detail and characterized in terms of two dimensionless parameters $P_{1,2}$ representing the driving strength and the nonlinearity in the problem, respectively. The quantum-mechanical rotating wave and the classical single-resonance approximations are used to describe the regimes of efficient classical or quantum-mechanical excitation in this two-parameter space.

中文翻译：

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Rydberg原子中的量子与经典chi

讨论了a驱动的里德堡原子中量子力学和经典演化之间的相互作用。结果表明，该系统允许两个连续的共振激励机制，即连续的两级跃迁（梯形爬升）和连续的经典非线性相位锁定（自谐振）。详细研究了驱动频率和开普勒频率之间的持续1：1和2：1共振，并根据两个无量纲参数进行了表征$P_{\mathrm{1个}，2}$分别表示问题的驱动强度和非线性。量子力学旋转波和经典的单共振近似被用来描述在该两参数空间中有效的经典或量子力学激励的状态。