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量子系统的缀饰态方法

Dressed States Approach to Quantum Systems

G. Flores-Hidalgo, A. P. C. Malbouisson

摘要:

利用JPhysA中引入的{ \it dressed}态的非微扰方法,研究了在非相互作用谐振子系综模型下环境对量子力学系统的影响.该方法允许将整个系统分离成{ \it dressed}机械系统和{ \it dressed}环境,就其而言,精确的非微扰方法是可能的。当应用于布朗运动时,我们给出了弱耦合和强耦合下粒子经典路径的显式非微扰公式。当应用于研究腔中的原子行为时,该方法非常精确地解释了实验观察到的小腔中原子衰变的抑制。

英文摘要:

Using the non-perturbative method of {\it dressed} states previously introduced in JPhysA, we study effects of the environment on a quantum mechanical system, in the case the environment is modeled by an ensemble of non interacting harmonic oscillators. This method allows to separate the whole system into the {\it dressed} mechanical system and the {\it dressed} environment, in terms of which an exact, non-perturbative approach is possible. When applied to the Brownian motion, we give explicit non-perturbative formulas for the classical path of the particle in the weak and strong coupling regimes. When applied to study atomic behaviours in cavities, the method accounts very precisely for experimentally observed inhibition of atomic decay in small cavities PhysLA, physics0111042.

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