US-Italy Cooperative Research: Simulation Studies of QuantumSystems

该奖项将支持纽约大学的Malvin Kalos教授与意大利米兰大学的L. Reatto教授合作进行的一项研究。研究人员打算继续研究固态和液态氦的计算量子力学。我们目前对低密度固体和高量子系统的液固相变的理解仍然不完整。在实验和理论上，这种跃迁都受到量子效应的强烈影响。利用变分计算和格林函数蒙特卡罗（GFMC）方法，研究人员获得了关于液固转变和二维液态和固态氦基本性质的重要结果，这些结果将通过这次合作得到扩展。拟议的工作是互补的：美国方面将贡献计算多体理论的方法，特别是当它适用于基态和有限温度的量子问题时。意大利方面将在美国研究人员获得的数值结果的基础上研究理论和分析结果。鉴于这种程度的互补性，这种合作很可能会增加对液固跃迁和材料的量子效应的理解。

This award will support Professor Malvin Kalos of New York University in a research collaboration with Professor L. Reatto of the Universita degli Studi di Milano, Italy. The investigators intend to continue their studies in the computational quantum mechanics of solid and liquid helium. Our current understanding of low density solid and of the liquid-solid phase transitions of highly quantum systems is still incomplete. Both experimentally and theoretically, such transitions are strongly affected by quantum effects. Using variational calculations and a Green's function Monte Carlo (GFMC) method, the investigators have obtained important results about liquid-solid transitions and about basic properties of two-dimensional liquid and solid helium which will be extended through this collaboration. The proposed work is complementary: the U.S. side will contribute the methodology of computational many-body theory, especially as it applies to quantum problems in their ground states and finite temperature. The Italian side will work on theoretical and analytical results based on the numerical results obtained by the U.S. researchers. Given this degree of complementarity, it is likely that the collaboration will lead to increased understanding of quantum effects of liquid-solid transitions and materials.