US-Ireland Cooperative Research: Quantum Stochastic Processes and Applications

该奖项将支持美国-爱尔兰理论研究 物理学 主要研究人员是罗伯特·奥康奈尔博士， 路易斯安那州立大学，G。W.福特大学 密歇根州，约翰刘易斯博士，都柏林高级研究所， D博士M.匈牙利国家高等教育研究所， 爱尔兰的都柏林。 拟议的工作重点是量子随机 过程，特别强调以下领域的系统： 量子光学和激光，原子和凝聚态物理， 其包括作为整体元件的热浴的存在 一个量子系统。 奥康奈尔和刘易斯博士 自1983年以来，在这个问题上。 在本项目中，他们将应用一个 一般振荡器热浴等问题的非马尔可夫 对时间衰减的影响，以及对改进的 量子光学的热浴模型 两个主要的新要素， 这项研究将是1）追求新的想法， 自旋玻色子问题和2）量子耗散公式 在主方程方面（冯诺依曼方程， 密度矩阵的运动）。 这项工作将使 研究人员研究量子耗散对 表现出混沌现象的系统。 的参与 Hongnan，因为他是一个公认的专家在现象 半导体激光器中的混沌，将是重要的。

This award will support U.S.-Irish research in theoretical physics. The principal investigators are Dr. Robert O'Connell, Louisiana State University, Dr. G. W. Ford, University of Michigan, Dr. John Lewis, Dublin Institute for Advanced Studies, and Dr. D. M. Heffernan, National Institute for Higher Education, Dublin, Ireland. The proposed work focuses on quantum stochastic processes, with special emphasis on systems in such areas as quantum optics and laser, atomic and condensed matter physics, which involve the presence of a heat bath as an integral element of a quantum system. Drs. O'Connell and Lewis have worked together on this topic since 1983. In the present project, they will apply results obtained for a general oscillator heat bath to such problems as non-Markovian effects on time decay, as well as to an investigation of improved heat bath models for quantum optics. Two major new elements in this study will be 1) the pursuit of new ideas in relation to the spin boson problem and 2) the formulation of quantum dissipations in terms of a master equations (the von Neumann equation of motion for the density matrix). This work will enable the investigators to study the effect of quantum dissipation on systems exhibiting the phenomenon of chaos. The participation of Heffernan, since he is a well-recognized expert in the phenomenon of chaos in semiconductor lasers, will be of importance.