STABILITY OF QUANTUM MOTION IN CHAOTIC AND REGULAR SYSTEMS
STABILITY OF QUANTUM MOTION IN CHAOTIC AND REGULAR SYSTEMS
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DOI：
10.1103/physreva.30.1610
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发表时间：
1984-01-01
影响因子：
2.9
通讯作者：
PERES, A
中科院分区：
文献类型：
--
作者：
PERES, A
当哈密顿量添加一个小扰动时，量子态的演化就会发生改变。随着时间的推移，扰动态和未扰动态的重叠表明了量子运动的稳定性。结果表明，如果一个量子系统具有经典的混沌模拟，则这种重叠往往会达到非常小的值，并且波动也很小。另一方面，如果经典模拟是规则的，重叠仍然是可观的（在时间平均值上）并且其波动要大得多。
The evolution of a quantum state is altered when a small perturbation is added to the Hamiltonian. As time progresses, the overlap of the perturbed and unperturbed states gives an indication of the stability of quantum motion. It is shown that if a quantum system has a classically chaotic analog, this overlap tends to a very small value, with small fluctuations. On the other hand, if the classical analog is regular, the overlap remains appreciable (on a time average) and its fluctuations are much larger.