疤痕本征态相干布居的量子稳定化:分界线带进入引起的经典输运的量子抑制
Quantum Stabilization by Coherent Population of Scarred Eigenstates: Quantum Suppression of Transport Classically Initiated by Separatrix Band Entry
摘要:
实验数据与经典模型的数值预测的比较表明,在脉冲微波电场中的激发氢原子在相对较宽的频率范围内表现出非经典的稳定性增加。我在这里表明,这是由于选择性人口的长寿的“疤痕”状态,与周围的主要经典共振区相空间中的混沌分界带。用Floquet态的绝热演化给出了量子解释,并研究了二能级量子共振的失稳效应。相邻的经典共振区的作用,在确定的频率范围内的稳定性都揭示了准能量曲线和Husimi函数的瞬时量子态。
英文摘要:
Comparisons of experimental data with numerical predictions of a classical model indicate that an excited hydrogen atom in a pulsed microwave electric field exhibits a nonclassical increase of stability over a relatively wide range of frequencies. I show here that this is due to selective population of long-lived "scarred" states that are associated with the chaotic separatrix band surrounding the principal classical resonance zone in phase space. A quantum explanation is given in terms of adiabatic evolution of Floquet states and the destabilizing effect of two-level quantum resonances is investigated. The role of neighbouring classical resonance zones in defining the frequency range of stabilization is revealed both by quasienergy curves and by Husimi functions for the instantaneous quantum states.
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