Long and Medium-Term Research: Development of SupercomputerCodes for Solving Quantum Optic Master Equations

Alsing Long&Amp；中期研究：开发用于求解量子光学主方程的超级计算机代码这个奖项是在长期计划下颁发的。外国卓越中心的中期研究，使美国科学家和工程师能够在国外公认的卓越研究中心进行三到十二个月的研究。该项目的奖项提供了联合研究的机会，并提供了使用国外独特或互补的设施、专业知识和实验条件的机会。该奖项由俄勒冈大学尤金分校的Howard J.Carmichael博士赞助，将支持Paul M.Alsing博士与Craig M.Savage博士在堪培拉的澳大利亚国立大学进行为期12个月的博士后研究访问。他们将开发用于求解量子光学主方程的超级计算机代码。所研究的系统是单个原子与外部相干电磁场驱动的高质量光学腔的量子化模式强耦合。通过量子力学主方程，计算感兴趣的量子统计量(稳态场分布、谱等)的问题。归结为求解一个大型的稀疏耦合线性微分方程组。研究人员开发的基本超级计算机代码已经存在，并使用简单的一步欧拉算法。他们建议研究其他更快的集成方案，以在执行速度和内存需求之间实现健康的权衡。他们将对这些进行模块化，以扩展它们的适用性，创建一个非常通用、快速和高效的量子光学主方程求解器。BASIC程序已经发现了共振驱动腔中单原子腔间场的一种新的位相双峰。为此，研究人员将添加失谐，可能还会添加几个模和/或几个原子。他们将研究经典方程呈现混沌的量子力学系统。提出的主方程解算器应该被证明是一个非常通用的、灵活的数值工具，以补充对量子光学中广泛现象的分析研究。奖励建议提供资金用于支付国际旅行、受抚养人津贴和美国本土机构250美元的固定行政津贴。

Alsing Long & Medium-Term Research: Development of Supercomputer Codes for Solving Quantum Optic Master Equations This award is made under the Program for Long- & Medium-Term Research at Foreign Centers of Excellence, which enables U.S. scientists and engineers to conduct three to twelve months abroad at research centers of proven excellence. The program's awards provide opportunities for joint research, and the use of unique or complementary facilities, expertise and experimental conditions abroad. This award, sponsored by Dr. Howard J. Carmichael of the University of Oregon at Eugene, will support a twelve-month postdoctoral research visit by Dr. Paul M. Alsing with Dr. Craig M. Savage at the Australia National University, Canberra. They will develop supercomputer codes for solving quantum optic master equations. The system under study is a single atom strongly coupled to a quantized mode of a high quality optic cavity driven by an external coherent electromagnetic field. Via a quantum mechanical master equation, the problem of calculating quantum statistical quantities of interest (steady state field distributions, spectra, etc.) is reduced to solving a large sparse system of coupled linear differential equations. Basic supercomputer codes developed by the researchers already exist and use a simple one-step Euler algorithm. They propose to investigate other, faster integrations schemes to yield a healthy trade off between speed of execution and memory requirements. They will modularize these to extend their applicability, creating a very general, fast, and efficient quantum optic master equation solver. The basic codes have already discovered a novel phase bimodality for the intercavity field of a single atom in a cavity driven on resonance. To this, the researchers will add detunings and possibly several modes and/or a few atoms. They will study quantum mechanical systems whose classical equations exhibit chaos. The proposed master equation solver should prove a very general, flexible, numerical tool to compliment analytic investigations into a wide range of phenomena in quantum optics. The award recommendation provides funds to cover international travel, dependent's allowance, and a flat administrative allowance of $250 for the U.S. home institution.