Solving time-dependent problems in quantum optics and quantum information

解决量子光学和量子信息中的时间相关问题

• 批准号: 0243473
• 负责人: A.R.P. Rau
• 金额: $ 17.5万
• 依托单位: Louisiana State University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2003
• 资助国家: 美国
• 起止时间: 2003-06-01 至 2007-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0243473&HistoricalAwards=false
• 关键词: Solving; time; dependent; problems; quantum

The research is concerned with the development and application of a new method to solve time-dependent problems in quantum mechanics. The approach is based on the existence of a closed Lie algebra for certain Hamiltonian systems. Under such conditions, the time development of the system can be reduced to solving a relatively simple set of differential equations. The benefit of this method is that for the systems to which it can be applied, it offers a simple approach to the dynamics which is also applicable to open systems.

这项研究致力于发展和应用一种新的方法来解决量子力学中的含时问题。该方法基于某些哈密顿系统的闭李代数的存在性。在这种情况下，系统的开发时间可以简化为求解一组相对简单的微分方程组。这种方法的好处是，对于可以应用它的系统，它提供了一种同样适用于开放系统的简单的动力学方法。