QUANTUM LOCALIZATION AND THE RATE OF EXPLORATION OF PHASE-SPACE
QUANTUM LOCALIZATION AND THE RATE OF EXPLORATION OF PHASE-SPACE
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DOI：
10.1103/physreva.35.1360
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发表时间：
1987-02-01
影响因子：
2.9
通讯作者：
HELLER, EJ
中科院分区：
文献类型：
--
作者：
HELLER, EJ
非平稳相空间分布ρ(T)以可由自相关函数P(T)=h N Tr[ρρ(T)]确定的速率ScRr扫出相空间。结果表明，在P(T)的初始衰变之后，P(T)的随后的重现(增加)会导致速率SCRR的永久性减慢。这种减速可能会导致量子本征态的局域化，而这种影响不适用于经典的平稳分布。根据动力学可用相空间的分数和单个本征函数的相空间分布讨论了局部化问题。
Nonstationary phase-space distributions ρ (t) are shown to sweep out phase space at a rate scrR which can be determined from the autocorrelation function, P (t)= h N Tr [ρρ (t)]. It is demonstrated that, after the initial decay of P (t), subsequent recurrences (increases) of P (t) cause permanent slowdowns in the rate scrR. Such slowdowns may cause localization of quantum eigenstates, whereas no such implications apply to the classical stationary distributions. The localization is discussed in terms of the fraction of the available phase space which the dynamics accesses, and the phase-space distribution of individual eigenfunctions.