与量子系统相关的时间演化算子的一种新的微扰展开

Journal of optics. B, Quantum and semiclassical optics : journal of the European Optical Society Pub Date : 2005-08-02 DOI:10.1088/1464-4266/7/12/011

P. Aniello

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引用次数: 7

摘要

提出了一种新的演化算子的展开式，该展开式与一般的时变摄动量子哈密顿量有关。结果表明，它具有广泛的可能实现范围，可以根据计算便利性或满足特定要求进行拟合。作为一个显著的例子，详细研究了描述激光驱动捕获离子的量子哈密顿量。

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A new perturbative expansion of the time evolution operator associated with a quantum system

A novel expansion of the evolution operator associated with an—in general, time-dependent—perturbed quantum Hamiltonian is presented. It is shown that it has a wide range of possible realizations that can be fitted according to computational convenience or to satisfy specific requirements. As a remarkable example, the quantum Hamiltonian describing a laser-driven trapped ion is studied in detail.

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Journal of optics. B, Quantum and semiclassical optics : journal of the European Optical Society

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