论文标题

时间周期性量子系统的变分原理

Variational principle for time-periodic quantum systems

论文作者

Krüger, Nils

论文摘要

制定了一个差异原理,使人们能够计算一个定期时间依赖性量子系统的单个浮雕状态,并成功地针对由线性驱动的谐波振荡器的分析可解决模型提供的基准系统进行了测试。该原理特别适合通过参数空间追踪各个浮雕状态,即使对于非常高维系统,也可能使人们获得浮雕状态,这些系统无法通过已知的标准数值方法处理。

A variational principle enabling one to compute individual Floquet states of a periodically time-dependent quantum system is formulated, and successfully tested against the benchmark system provided by the analytically solvable model of a linearly driven harmonic oscillator. The principle is particularly well suited for tracing individual Floquet states through parameter space, and may allow one to obtain Floquet states even for very high-dimensional systems which cannot be treated by the known standard numerical methods.

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