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

长期和中期研究：求解量子光学总方程的超级计算机代码的开发本奖项由“国外卓越中心中长期研究计划”资助。该计划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。该计划的奖励为联合研究提供了机会，并利用独特或互补的设施、专业知识和国外的实验条件。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博士和Craig M. Savage博士在堪培拉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。所研究的系统是一个由外部相干电磁场驱动的单原子强耦合到高质量光学腔的量子化模式。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，光谱等）的问题被简化为求解耦合线性微分方程的大型稀疏系统。研究人员开发的基本超级计算机代码已经存在，并且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，以便在执行速度和内存需求之间取得健康的平衡。他们将模块化这些以扩展其适用性，创建一个非常通用，快速，高效的量子光学主方程求解器。基本编码已经发现了共振驱动腔内单原子腔间场的一种新的相位双峰态。为此，研究人员将添加失谐，可能还会添加几个模式和/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。提出的主方程求解器应该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。该奖项建议提供资金用于支付国际旅行，家属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.