非埃尔米特含时开放系统的绝热定理
Adiabatic theorem for non-hermitian time-dependent open systems
摘要：
在传统的量子力学（即，埃尔米特量子力学）系统在时间周期场作用下的绝热定理只对束缚系统成立，而对开放系统（电离和离解发生的地方）不成立[D. W.霍恩河Ketzmerik和W. Kohn，Phys.Rev.A56，4045（1997）]。本文利用（t，t'）形式与复标度法相结合，导出了一个开放系统的绝热定理，并给出了绝热极限成立的分析判据。复杂尺度变换的使用在我们的推导中起着关键作用。作为一个数值例子，我们应用绝热定理，我们推导了一个一维模型的哈密顿原子与强，单色正弦平方激光脉冲的相互作用。我们证明了奇次谐波的产生和超喇曼线的消失，即使脉冲很短，也可以用我们导出的绝热定理来解释。
英文摘要：
In the conventional quantum mechanics (i.e., hermitian QM) the adia- batic theorem for systems subjected to time periodic fields holds only for bound systems and not for open ones (where ionization and dissociation take place) [D. W. Hone, R. Ketzmerik, and W. Kohn, Phys. Rev. A 56, 4045 (1997)]. Here with the help of the (t,t') formalism combined with the complex scaling method we derive an adiabatic theorem for open systems and provide an analytical criteria for the validity of the adiabatic limit. The use of the complex scaling transformation plays a key role in our derivation. As a numerical example we apply the adiabatic theorem we derived to a 1D model Hamiltonian of Xe atom which interacts with strong, monochromatic sine-square laser pulses. We show that the gener- ation of odd-order harmonics and the absence of hyper-Raman lines, even when the pulses are extremely short, can be explained with the help of the adiabatic theorem we derived.
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